The effectiveness of a blood pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 42.2 for a sample of size 309 and standard deviation 10.7. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 99% confidence level) Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).

Answers

Answer 1

The 99% confidence interval for how much the drug will lower a typical patient's systolic blood pressure is approximately (40.6, 43.8).

How to determine the confidence interval

The formula for calculating the confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

we need to find the critical value associated with a 99% confidence level. Since the sample size is large (n = 309), we can use the z-distribution.

The critical value for a 99% confidence level is approximately 2.576.

Next, we need to calculate the standard error using the formula:

Standard Error = Standard Deviation / √(Sample Size)

Standard Error = 10.7 / √309

Now we can calculate the confidence interval:

Confidence Interval = 42.2 ± (2.576 * (10.7 / √309))

Calculating the values:

Confidence Interval = 42.2 ± (2.576 * 0.609)

Confidence Interval ≈ 42.2 ± 1.570

Therefore, the 99% confidence interval for how much the drug will lower a typical patient's systolic blood pressure is approximately (40.6, 43.8).

Learn more about confidence interval at https://brainly.com/question/15712887

#SPJ1


Related Questions

Use the following information for the next two questions: • A portfolio consists of 16 independent risks. • For each risk, losses follow a Gamma distribution, with parameters 0 = 250 and a = 1. The Central Limit Theorem: Suppose that X is a random variable with mean u and standard deviation and suppose that X, X2...., Xy are independent random variables with the same distribution as X (i.e. Independent and Identically Distributed or IID assumption). Let Y = X2, X2..... X... Then E[Y] = nu and Var(Y) = ng2. As n increases, the distribution of Y approaches a normal distribution Nínu, no4). This is also known as normal approximation. (a) Without using the Central Limit Theorem, determine the probability that the aggregate losses for the entire portfolio will exceed 6,000. (b) Using the Central Limit Theorem, determine the approximate probability that the aggregate losses for the entire portfolio will exceed 6,000.

Answers

The probability that the aggregate losses for the entire portfolio will exceed 6,000 can be determined by calculating the cumulative distribution function (CDF) of the Gamma distribution without using the Central Limit Theorem. Alternatively, using the Central Limit Theorem, the approximate probability can be estimated by treating the sum of 16 independent risks as a normal distribution with a mean of 4000 and a standard deviation of 4.

(a) Without using the Central Limit Theorem, the probability that the aggregate losses for the entire portfolio will exceed 6,000 can be determined by calculating the cumulative distribution function (CDF) of the Gamma distribution for the sum of 16 independent risks. Since each risk follows a Gamma distribution with parameters θ = 250 and α = 1, the sum of 16 risks will follow a Gamma distribution with parameters θ' = 16 * 250 = 4000 and α' = 16 * 1 = 16. By evaluating the CDF at the value of 6,000, we can find the probability that the aggregate losses exceed 6,000.

(b) Using the Central Limit Theorem, we can approximate the distribution of the sum of 16 independent risks as a normal distribution. According to the theorem, as the number of independent and identically distributed (IID) risks increases, the distribution of their sum approaches a normal distribution with mean μ' = n * μ and standard deviation σ' = √(n * σ^2), where n is the number of risks, μ is the mean of each risk, and σ is the standard deviation of each risk.

In this case, with 16 independent risks, the approximate distribution of the aggregate losses will be a normal distribution with mean μ' = 16 * 250 = 4000 and standard deviation σ' = [tex]\sqrt{ (16 * 1^2)}[/tex] = 4. By calculating the probability that the normal distribution exceeds 6,000, we can estimate the approximate probability of the aggregate losses exceeding 6,000.

To learn more about Gamma distribution, visit:

https://brainly.com/question/31384316

#SPJ11

Please help me I will give u points whenever u wanna only Percy answers pleaseee ❤️
And don’t forget about explain

Answers

Answer:

this point is 72 digri ok

The answer to this question is 72 I believe so

HELP PLEASE!!!!!! Find the speed of an athlete who makes 4and3/4 laps in 3mins45 seconds on a 400m field in m/s​

Answers

Given:

An athlete who makes [tex]4\dfrac{3}{4}[/tex] laps in 3 mins 45 seconds on a 400m field.

To find:

The speed of the athlete in m/s.

Solution:

We know that,

Distance covered in 1 lap = 400 m

Distance covered in [tex]4\dfrac{3}{4}[/tex] laps = [tex]4\dfrac{3}{4}\times 400[/tex] m

                                               = [tex]\dfrac{19}{4}\times 400[/tex] m

                                               = [tex]1900[/tex] m

We know that,

1 minute = 60 seconds

3 minutes = 180 seconds

3 minutes 45 second = 180 + 45 seconds

                                   = 225 second

The speed of the athlete is:

[tex]Speed=\dfrac{Distance}{Time}[/tex]

[tex]Speed=\dfrac{1900}{225}[/tex]

[tex]Speed\approx 8.44[/tex]

Therefore, the speed of the athlete is about 8.44 m/s.

Can someone help me solve these equations?
1. 2y^2+5Y+2 |
2. 5x^2-18x+9 |
3. 16b^2+60b-100 | 4.-6a^2-25a-25 |
5. 49x^2-14x+1 |
6. 81x^2-49

Answers

I will try my best to help. If these are quadratic equations, you would use the quadratic formula to solve the equations.
1.) y = -2, y = -1/2
2.) x = 6/10, x = 3
3.) b = 5/4, b = -5
4.) a = -5/3, a = -5/2
5.) x = 1/7
6.) x = 1/7, x =-1/7
If this does not help, comment what we need to solve (factor the equation, etc.)

An isosceles triangle has a base of 20cm and legs measuring 36cm. How long are the legs of a similar triangle with a base measuring 50cm?

Answers

Answer:

90 cm

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, then

50 ÷ 20 = 2.5

The legs of the similar triangle are 2.5 times the original legs, that is

legs of similar triangle = 2.5 × 36 cm = 90 cm

the scatterplot shows the number of hours that 12 people spent learning to type on a keyboard and each persons average typing speed. Based on the scatterplot, what is the best prediction of a persons average typing speed in words per min. if the person has spent 70 hours learning to type?

Answers

Answer:

85 wpm

Step-by-step explanation:

From the scatter plot, we can see the following;

At 20 hours, average typing speed = 34 wpm

At 30 hours, the average typing speed = 40 wpm

At 40 hours, the average typing speed = 51 wpm

At 50 hours, the average typing speed = 65 wpm

Average differences = ((40 - 34) + (51 - 40) + (65 - 51))/3 = 10.3

Approximating to a whole number = 10

Now, we can approximate that at 60 hours, average typing speed = 65 + 10 = 75 wpm

At 70 hours, the average typing speed = 75 + 10 = 85 wpm

Answer:

85 wpm

Step-by-step explanation:

I took this test!

A time series graph is useful for which of the following purposes?

Representing relative frequencies of categories in a specific year

Representing the cumulative frequencies of the data in a specific year

Representing the frequencies of the data, sorted from largest to smallest

Representing the frequencies of a data category over a period of several years

Answers

Answer: A time series graph is useful for representing the frequencies of a data category over a period of several years.

Explanation:                                                                                                           Time series graphs are usually employed when it is critical to examine data values and trends over time. A time series graph displays changes in data over time. It is usually used to depict economic, social, or physical characteristics that are measurable over time.                                                    A time series is a collection of observations or data taken at regular intervals over time and used to track and analyze changes in data over time.

   Time series graphs display data over time on a graph with time on the x-axis and a measured value, such as temperature or height, on the y-axis. The graph can display change trends over time as well as seasonal or other patterns, in addition to providing insight into how data values are changing over time.

Learn more about Time series graphs here https://brainly.com/question/30438476

#SPJ11

Which expression is evaluated first in the following statement?
if (a > b && c == d || a == 10 && b > a * b)?
a. a * b
b. b && c
c. d || a
d. a > b
e. none of the above

Answers

The expression "a > b" is evaluated before the other expressions.

How to evaluate an expression?

Follow the order of operations (PEMDAS/BODMAS). Evaluate the expression following the order of operations or the rules of precedence.

Let's break down the given statement and determine the order of evaluation for each expression:

if (a > b && c == d || a == 10 && b > a * b)

The statement consists of two logical expressions connected by the "&&" and "||" operators. To determine the order of evaluation, we need to consider operator precedence and associativity.

1. Parentheses: As there are no parentheses in the statement, we move on to the next step.

2. "&&" Operator: The "&&" operator has higher precedence than the "||" operator, so expressions connected by "&&" are evaluated before those connected by "||".

The first expression connected by "&&" is "a > b". Let's call this Expression 1.

The second expression connected by "&&" is "c == d". Let's call this Expression 2.

3. "||" Operator: The "||" operator has lower precedence than the "&&" operator.

The first expression connected by "||" is Expression 1 (a > b) && (c == d).

The second expression connected by "||" is "a == 10" && "b > a * b". Let's call this Expression 3.

Now, let's evaluate each expression in the given order:

Expression 1: a > b

Expression 2: c == d

Expression 3: a == 10 && b > a * b

Therefore, the expression evaluated first in the given statement is Expression 1: a > b.

To summarize, in the statement "if (a > b && c == d || a == 10 && b > a * b)", the expression "a > b" is evaluated first.

To know more about expression, refer here:

https://brainly.com/question/28170201

#SPJ4

What substitution should be used to rewrite 16(x^3 +1)^2 – 22(x^3+1) – 3 = 0 as a quadratic equation? a. u = (x3) b. u = (x3+1) c. u = (x3+1)2 d. u = (x3+1)3

Answers

The correct substitution to rewrite the equation 16(x^3 + 1)^2 - 22(x^3 + 1) - 3 = 0 as a quadratic equation is:

c. u = (x^3 + 1)^2

By substituting u = (x^3 + 1)^2, the equation can be rewritten as 16u - 22u - 3 = 0, which is a quadratic equation in terms of u.

To solve the quadratic equation for u, you can use factoring, completing the square, or the quadratic formula. Once you find the solutions for u, you can substitute back (x^3 + 1)^2 for u to obtain the solutions for the original equation.

To know more about quadratic equation click here: brainly.com/question/30098550

#SPJ11

HELP ASAP PLEASE!!!!

Answers

Answer:

q=(1,5) t=(-2,3)r=(3,-1)s=(0,0)

Step-by-step explanation:

The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.6 years, with a standard deviation of 3.5 years. The winner in one recent year was 30 years old. (a) Transform the age to a z-score. (b) Interpret the results.

Answers

(a) The z-score for an age of 30 years is approximately 0.6857.

(b) The winner's age of 30 years is roughly 0.6857 standard deviations above the mean age of the winners (27.6 years), indicating they were slightly older than the average age.

(a) To transform the age of 30 years to a z-score, we use the formula:

z = (x - μ) / σ

where:

x = individual value (age of the winner) = 30 years

μ = mean age = 27.6 years

σ = standard deviation = 3.5 years

Plugging in the values, we get:

z = (30 - 27.6) / 3.5

Calculating this expression, we find:

z ≈ 0.6857

Therefore, the z-score for an age of 30 years is approximately 0.6857.

(b) Interpretation of the results:

The z-score indicates the number of standard deviations an individual value (in this case, the age of the winner) deviates from the mean. A positive z-score suggests that the individual value is above the mean.

In this context, the z-score of approximately 0.6857 means that the age of the winner (30 years) is roughly 0.6857 standard deviations above the mean age of the winners (27.6 years). This suggests that the winner in that recent year was slightly older than the average age of the tournament winners.

By using z-scores, we can compare and interpret individual values within the context of a distribution, such as the bell-shaped distribution of ages in the cycling tournament winners.

Know more about the standard deviations click here:

https://brainly.com/question/29115611

#SPJ11

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

2/11

Step-by-step explanation:

Let's say x = 0.18181818..

Then, 100x = 18.1818181....

so, if you put x in the repeating decimal in 18.1818,

you get the equation,

100x = 18+x

so, 99x = 18

x = 18/99 = 2/11

Answer:

18/100 = 9/50

Answer is 9/50

Do you really think you’re going to give me brainliest lol

The following data set shows the bank account balance for a random sample of 17 IRSC students. 343 45 340 SN 105 343 29 340 101 343 alelse 1 340 343 101 312 142 340 36 Round solutions to two decimal places, if necessary. What is the mean of this data set? mean What is the median of this data set? median What is the mode of this data set? If no mode exists type DNE. If multiple modes existenter the values in a comma-separated list. Round solutions to two decimal places, if necessary. What is the mean of this data set? mean What is the median of this data set? median- What is the mode of this data set? If no mode exists, type DNE. If multiple modes exist, enter the values in a comma-separated list. mode =

Answers

The mean of the data set is approximately 210.94. The median of the data set is 101. The mode of the data set is 343.

To determine the mean, median, and mode of the data set:

Data set: 343, 45, 340, SN, 105, 343, 29, 340, 101, 343, alelse, 1, 340, 343, 101, 312, 142, 340, 36

To calculate the mean, we need to find the average of all the values in the data set. However, it seems that there are some non-numeric entries like "SN" and "alelse." We need to remove these non-numeric entries before calculating the mean.

After removing the non-numeric entries, the data set becomes: 343, 45, 340, 105, 343, 29, 340, 101, 343, 1, 340, 343, 101, 312, 142, 340, 36.

Mean: Sum all the values and divide by the number of values.

Mean = (343 + 45 + 340 + 105 + 343 + 29 + 340 + 101 + 343 + 1 + 340 + 343 + 101 + 312 + 142 + 340 + 36) / 17

Mean ≈ 210.94 (rounded to two decimal places)

To calculate the median, we need to find the middle value of the data set when it is arranged in ascending order. If the number of values is odd, the median is the middle value. If the number of values is even, the median is the average of the two middle values.

Arranging the data set in ascending order: 1, 29, 36, 45, 101, 101, 105, 142, 312, 340, 340, 340, 343, 343, 343, 343, 340.

Median: Since the number of values is odd (17), the median is the middle value.

Median = 101

To calculate the mode, we need to find the value(s) that appear(s) most frequently in the data set.

Mode: In this data set, the value 343 appears most frequently, so the mode is 343.

In summary:

Mean ≈ 210.94

Median = 101

Mode = 343

To know more about mean refer here:
https://brainly.com/question/15323584#

#SPJ11

Picture is included please help​

Answers

Answer:

B cannot be factored into a perfect square

Emily buys some of her clothes second
hand. If 75% of her shirts are second hand
and she owns 24 shirts, how many of
Emily's shirts are second hand?

Answers

Answer:

18 shirts

Step-by-step explanation:

75% of 24

convert 75% to decimal number

75% is 0.75

0.75 x 24 = 18

Mrs. DeRossett's sister goes to the bank to get a loan to purchase a new home. The bank advises that she make sure her mortgage payment does not exceed 30% of her monthly take home pay. If Mrs. DeRossett's sister makes roughly $5,000 per month, then what would be her recommended maximum monthly mortgage?
 

Answers

Answer:

1,500

Step-by-step explanation:

please help quickly!

Answers

Answer:

answer I have no clue sorry dude

A recent study focused on the method of payment used by college students for their cell phone bills. Of the 1,220 students surveyed, 600 stated that their parents pay their cell phone bills. Use a 0.01 significance level to test the claim that the majority of college students' cell phone bills are paid by their parents.
Identify the null and alternative hypotheses for this scenario.
Test the claim that the majority of college students' cell phone bills are paid by their parents.

Answers

The significance level of 0.01 indicates that we want to use a 1% level of significance to evaluate the evidence against the null hypothesis.

The null and alternative hypotheses for testing the claim that the majority of college students' cell phone bills are paid by their parents can be stated as follows:

Null hypothesis (H0): The majority of college students' cell phone bills are not paid by their parents.

Alternative hypothesis (Ha): The majority of college students' cell phone bills are paid by their parents.

In this scenario, the null hypothesis assumes that the proportion of college students whose parents pay their cell phone bills is less than 50% (not a majority), while the alternative hypothesis suggests that the proportion is greater than or equal to 50% (a majority). The significance level of 0.01 indicates that we want to use a 1% level of significance to evaluate the evidence against the null hypothesis.

For more questions on hypothesis

https://brainly.com/question/29576929

#SPJ8

What is the probability that a randomly selected bottle is correctly placed and a Plastic #4 bottle?


A. 1/2

B. 1/3

C. 1/4

D. 1/6

Answers

Answer:

1/4

Step-by-step explanation:

The answer is C. 1/4

A right cylinder has a radius of 5 and a height of 9. What is its surface area? A. 457 units2 B. 1407 units2 C. 907 units? D. 700 units2​

Answers

Answer: B

The surface area of the right cylinder is 140π cubic units or 439.60 cubic units.

Step-by-step explanation:

We have formula to find the surface area of a right cylinder.

Surface area = 2πr(h + r)

Given: r = 5 and h = 9,

Now plug in the value of r and h in the above formula, we get

Surface area = 2π.5 (9 + 5)

= 10π(14)

Surface area = 140π

The value of π = 3.14, when we plug in the value of π, we get

The surface area = 140 × 3.14

= 439.60 cubic units.

Therefore, the surface area of the right cylinder is 140π cubic units or 439.60 cubic units.

Hope this helped!!!

what is the 43th term of 11,16,21

Answers

for points sorry Answer:

Step-by-step explanation:

can somebody help me
[tex](15f + 37f + 53 + 55)[/tex]

Answers

Answer:

(15f + 37f + 52 + 55) = ?

15f + 37f = 52f

52 + 55 = 107

So, (15f + 37f + 52 + 55) = 52f + 107.

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

A reporter surveyed 300 randomly selected people of all ages about their opinion of a new song. The results are shown in the table. Which of the following is a valid conclusion about data? select all that apply.

Answers

Answer:

the answers is A and E  <3

Step-by-step explanation:

i took this test

The volume of a cube is reduced by how much if all sides are halved?

Answers

Let the side of a cube be "a". The volume of the cube is "a³".

If all sides of the cube are halved, each side will now measure "a/2".Therefore, the new volume will be (a/2)³ cubic units. That is:a³ / 8 cubic units. The new volume of the cube will be reduced to 1/8 of its original volume.

A block is a three-layered strong item limited by six square faces, features or sides, with three gathering at every vertex. It looks like a hexagon from the corner, and its net usually looks like a cross. The block is the main customary hexahedron and is one of the five Non-romantic solids.

The volume of any three-dimensional solid is simply defined as the amount of space it occupies. A cube, cuboid, cone, cylinder, or sphere are all examples of these solids. The volumes of different shapes vary.

Know more about volume of cube:

https://brainly.com/question/23526372

#SPJ11

Please help another one
Please no joke :)
Have a good day gelp me please

Answers

Answer:

1) [tex]x^{2}\cdot y[/tex] - It is a monomial with two variables: [tex]x[/tex], [tex]y[/tex]

2) [tex]3\cdot x^{3}+x^{3}[/tex] - It is binomial reductible to a monomial due to like terms. Number of variables: [tex]x[/tex]

3) [tex]a^{2}\cdot b^{3}\cdot c^{4}[/tex] - It is a monomial with three variables: [tex]a[/tex], [tex]b[/tex], [tex]c[/tex]

4) [tex]2\cdot x^{2}-3=n[/tex] - It is binomial equivalent to a monomial. Number of variables: [tex]x[/tex], [tex]n[/tex].

5) [tex]x^{2}-y+2\cdot x^{2} = 3[/tex] - It is trinomial reductible to a binomial due to like terms. And equivalent to a constant. Number of variables: [tex]x[/tex], [tex]y[/tex]

Step-by-step explanation:

We proceed to explain the context on each case and answer appropriately:

1) [tex]x^{2}\cdot y[/tex] - It is a monomial with two variables: [tex]x[/tex], [tex]y[/tex]

2) [tex]3\cdot x^{3}+x^{3}[/tex] - It is binomial reductible to a monomial due to like terms. Number of variables: [tex]x[/tex]

3) [tex]a^{2}\cdot b^{3}\cdot c^{4}[/tex] - It is a monomial with three variables: [tex]a[/tex], [tex]b[/tex], [tex]c[/tex]

4) [tex]2\cdot x^{2}-3=n[/tex] - It is binomial equivalent to a monomial. Number of variables: [tex]x[/tex], [tex]n[/tex].

5) [tex]x^{2}-y+2\cdot x^{2} = 3[/tex] - It is trinomial reductible to a binomial due to like terms. And equivalent to a constant. Number of variables: [tex]x[/tex], [tex]y[/tex]

a simple random sample of 800 elements generates a sample proportion p= 0.77 ( round awsners to 4 decimal places)
a) provide a 90% confidence interval for the population proportion
b) provide a 95% confidence interval for the population proportion

Answers

The 95% confidence interval for the population proportion is approximately (0.7465, 0.7935).

(a) To calculate a 90% confidence interval for the population proportion, we can use the formula:

Confidence Interval = sample proportion ± z * sqrt((sample proportion * (1 - sample proportion)) / sample size)

Given that the sample proportion is p = 0.77 and the sample size is n = 800, we need to find the critical value, z, corresponding to a 90% confidence level.

Using a standard normal distribution table or a statistical software, the critical value for a 90% confidence level is approximately 1.645.

Substituting these values into the formula, we have:

Confidence Interval = 0.77 ± 1.645 * sqrt((0.77 * (1 - 0.77)) / 800)

Calculating the confidence interval, we get:

Confidence Interval = 0.77 ± 0.0191

Therefore, the 90% confidence interval for the population proportion is approximately (0.7509, 0.7891).

(b) Similarly, to calculate a 95% confidence interval, we need to find the critical value corresponding to a 95% confidence level. The critical value is approximately 1.96 for a 95% confidence level.

Using the same formula and substituting the values, we have:

Confidence Interval = 0.77 ± 1.96 * sqrt((0.77 * (1 - 0.77)) / 800)

Calculating the confidence interval, we get:

Confidence Interval = 0.77 ± 0.0235

to learn more about confidence interval click here:

brainly.com/question/29730953

#SPJ11

Define a relation Ron R by for a,beR (a,b) e Rif and only if a-bez Which of the following properties does have? Reflexive Symmetric Antisymmetric Transitive

Answers

In summary:

The relation R is reflexive. The relation R is not symmetric. The relation R is antisymmetric. The relation R is transitive.

 

Let's analyze the properties of the relation R:

Reflexive:

A relation R is reflexive if every element in the set is related to itself. In this case, we need to check if (a, a) belongs to R for every a in the set.

For the given relation R: (a, b) belongs to R if and only if a - b = 0.

Since a - a = 0, (a, a) satisfies the condition and is in R for every a in the set. Therefore, the relation R is reflexive.

Symmetric:

A relation R is symmetric if for every (a, b) belongs to R, (b, a) must also be in R.

For the given relation R: (a, b) belongs to R if and only if a - b = 0.

However, if a - b = 0, it does not imply that b - a = 0. Therefore, the relation R is not symmetric.

Antisymmetric:

A relation R is antisymmetric if for every distinct (a, b) belongs to R, (b, a) cannot be in R.

For the given relation R: (a, b) belongs to R if and only if a - b = 0.

Since a - b = 0 implies b - a = 0, it means that if (a, b) and (b, a) are in R, then a must be equal to b. Thus, for distinct elements a and b, it is not possible for both (a, b) and (b, a) to be in R. Therefore, the relation R is antisymmetric.

Transitive:

A relation R is transitive if for every (a, b) and (b, c) belongs to R, (a, c) must also be in R.

For the given relation R: (a, b) belongs to R if and only if a - b = 0.

If a - b = 0 and b - c = 0, it implies that a - c = 0. Therefore, if (a, b) and (b, c) are in R, then (a, c) is also in R. Thus, the relation R is transitive.

In summary:

The relation R is reflexive.

The relation R is not symmetric.

The relation R is antisymmetric.

The relation R is transitive.

To know more about relation properties:

https://brainly.com/question/32600807

#SPJ4

complete the square to rewrite the following equation in standard form

Answers

By completing the square, the equation in standard form is (x - 2)² + (y + 4)² = 4².

What is the equation of a circle?

In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

h and k represent the coordinates at the center of a circle.r represent the radius of a circle.

From the information provided below, we have the following equation of a circle:

x² - 4x + y² + 8y = -4

x² - 4x + (-4/2)² + y² + 8y + (8/2)² = -4 + (-4/2)² + (8/2)²

x² - 4x + 4 + y² + 8y + 16 = -4 + 4 + 16

(x - 2)² + (y + 4)² = 16

(x - 2)² + (y + 4)² = 4²

Therefore, the center (h, k) is (2, -4) and the radius is equal to 4 units.

Read more on equation of a circle here: brainly.com/question/15626679

#SPJ4

Complete Question:

Complete the square to rewrite the following equation in standard form. x² - 4x + y² + 8y = -4.

This tutorial will show you how to do an independent samples t test in SPSS and how to
interpret the result.
Steps
1. Independent-Samples T Test Compare Means 1. Click on Analyze
2. Drag and drop the dependent variable into the Test Variable(s) box, and the grouping
variable into the Grouping Variable box
3. Click on Define Groups, and input the values that define each of the groups that make
up the grouping variable (i.e., the coded value for Group 1 and the coded value for
Group 2)
4. Click Continue, and then click on OK to run the test
5. The result will appear in the SPSS data viewer

Answers

This tutorial provides step-by-step instructions on how to perform an independent samples t-test in SPSS and interpret the results.

The tutorial outlines the following steps to conduct an independent samples t-test in SPSS:

Access the Analyze menu.

Select "Compare Means" and then "Independent-Samples T Test."

Drag and drop the dependent variable into the "Test Variable(s)" box and the grouping variable into the "Grouping Variable" box.

Define the groups by clicking on "Define Groups" and inputting the coded values that represent each group.

Click "Continue" and then "OK" to run the test.

The results will be displayed in the SPSS data viewer.

By following these steps, users can conduct an independent samples t-test to compare means between two groups and assess whether there is a statistically significant difference. The result provides information such as the t-value, degrees of freedom, and p-value, which is used to interpret the significance of the difference between the means of the two groups. Researchers can then make conclusions based on the statistical findings from the independent samples t-test.

Learn more about t-test here:

brainly.com/question/32576462

#SPJ11

PLS HELP ME PLS ACTUALLY PUT AN ANSWER

Answers

Answer:

Hi

Step-by-step explanation:

The answer is B and D.

Hope it's correct.

Couldn’t post the answer here. The answer is in the file. Good luck!

quick.ly/29B1X

I’m just joking. The answer is B. Have a good day.
Other Questions
Jasmine scored a 85 on the last math test. The class average was a 76 with a standard deviation of 4.5. So, XN(76,4,5) Jasmine's Z-score is This tells you that 85 is standard deviations to the left or right) of the mean, 14. The number of problems on all math exams are normal distributed. What is the probability a randomly selected math exam has fewer than 15 questions if the mean is 20 questions with a standard deviation of 2.5? Use the empirical rule. Enter your answer as a percent rounded to two decimal places if necessary. A city has around 890 thousand people. There are 123 parks in this city. What is the number of parks per capita in this city? Write your answer in scientific notation. Exam Lesson Name: American Innovations in theExam Guidelines20. The composer to rose to Dvorak's challenge and used Native American themes in hisWorks was Shirley is saving money to buy a computer. The computer she will buy costs $1,200.00 She has already saved $300.00Shirley will save $60.00 per week until she has enough money to buythe computer. What is the value of the output when theinput is 18? an abstract about why tourism marketing is important2.1 discuss the key differences between marketing a product and service2.2 based on the above abstract, explain how effective marketing addresses these two characteristics of tourism: integrity and variability2 3" it is also crucial that marketers keep up with the latest trends" with this in mind discuss how marketers can keep up with the trends and yet still implement reasonable tourism marketing2.4 the tourism market are is required to implement various marketing approaches. explain these marketing approaches Who believed that the mind began as a blank tablet but could be developed through reason? roger bacon john locke robert boyle isaac newton Describe the map of North America in 1750 What are the legislations for age discrimination LaMont works for a company in downtown Chicago. The company encourages employees to use public transportation (to save the environment) by providing them with transit passes at a cost of $290 per month. rev: 09_23_2020_QC_CS-230013a. If LaMont receives one pass (worth $290) each month, how much of this benefit must he include in his gross income each year Real versus nominal GDP Consider a simple economy that produces two goods: pencils and muffins. The following table shows the prices and quantities of the goods over a three-year period Pencils Muffins Price Quantity (Number of pencils) 125 170 150 Price Year 2012 2013 2014 Quantity (Number of muffins) 200 230 170 (Dollars per pencil) (Dollars per muffin) Use the information from the preceding table to fill in the following table. Nominal GDP Dollars) Real GDP Year 2012 2013 2014 (Base year 2012, dollars) GDP Deflator From 2013 to 2014, nominal GDP and real GDP The inflation rate in 2014 was Why is real GDP a more accurate measure of an economy's production than nominal GDP? Real GDP includes the value of exports, but nominal GDP does not. Real GDP measures the value of the goods and services an economy produces, but nominal GDP measures the value of the goods and services an economy consumes. Real GDP is not influenced by price changes, but nominal GDP is Tuition for one year at Mount Tusk University is $13,400. Elijah has saved$1,800 for this year's tuition. His parents have agreed to pay $5,000 thisyear, and he earned a football scholarship for $3,500. Elijah hopes to earnthe rest of the money through his work-study job tutoring in the mathcenter. How much money does Elijah need to earn tutoring? (Enter thequantity only)Your answer Identify the degree of comparison for the adjective in the following sentence: Anna looked more beautiful than ever. A. Comparative B. Positive D. Uncomparable D. Superlative A video game regularly costs $29.95 is on sale for 15% off. About how much is the sale price of the game is you include 8% sales tax? Which of the following forces has the smallest energy per bond?A) iconic bondsB) covalent bondsC) hydrogen bondsD) dispersion bonds This XP set is worth a maximum points 1) As of 5/12/22. 72.7% of the residents of Washington state were fully vaccinated against CV19. Also, the population of our state is about 74 million people. a) Suppose that random samples of size n 50 are selected from this state's population. Let X represent the number people in each sample that are fully vaccinated against CV19 The variable X has an approximately Binomial distribution, with n 50 and D 727 Using the special Binomial formulas, compute the mean and the sigma of Round each value to the nearest tenth b) Refer to part . Which specific values of this variable X are within 3- sigma of its mean value? (OW, what are the common numbers of fully vaccinated people you'd expect to find in samples of this size, given the 72.7% fully vaccinated percentage?) c) Refer to part a. Use your calculator / technology like the "binompat and "binomcd commands on the TI-84) to help answer the following questions Report each probability correct to four decimal places Find the probability that one of these samples has exactly 35 fully vaccinated people in ite find the value of PX - 3571 Is this an unusual event using the 5% probability criterion? 10 Find the probability that one of these samples has 25 or fewer fully vaccinated people in it be find the value of PX $25)) is this an unusual event, using the 5% probability criterion? 30 IP 3: DO %: . $ 4 % 5 . # 3 $ 4 % 5 & 7 6 > 0 00 9 E R T T Y U 0 P D F G H J I KL < < C V B N M 1 Tell me, one simile in this poem. What two things is the author comparing?NO LINKSWILL MARK BRAINLYEST 50 POINTS I need help with this review question. 1-How did the Second World War shift the focus of the global story you've learned so far? Suppose you place a $35 bet on a horse with a 2:7 odds against winnning. Determine the winning payout for this horse. Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!