Answer:
The correct statements regarding correlation coefficient are:
1. Its absolute value cannot exceed 1.
2. A positive value indicates a strong correlation between the two variables; a negative value indicates a weak correlation between the two variables.
3. If X and Y have positive correlation coefficient, when we run a regression analysis Y=a+bX+e, we will find b positive.
4. If X and Y have positive correlation coefficient, when we run a regression analysis Y=a+bX+e, we will find a positive.
Step-by-step explanation:
Correlation measures the strength of the relationship which exists between X and Y variables. Regression, on the other hand, helps to establish a cause and effect between a dependent variable and an independent variable.
Math work please help
don't send any link or ill report
Answer:
Step-by-step explanation:
It would be b if im wrong Im so sorry <>.<> I tried my best to do everything or get everything right and I did the math~ also have skittles and m&m's~ ∨
Calculate the slope of the line using two points.
Question 1 options:
-1/4
1
-4
1/4
Calculate the slope of the line using two points.
Question 2 options:
1
2
4
1/4
Calculate the slope of the line using two points.
Question 3 options:
1/3
2/3
3/2
3
Question 4
Calculate the slope of the line using two points.
Question 4 options:
1/3
2/3
3/2
2
If P = (8,2), Find: r270 (P)
Answer:
In geometry we use input/output process when we determine how shapes are altered or moved. ... f) P (x,y) ------ > (x + 3, 2y) (-4,9). A' (-1, 18)_.
8. Daren and Josh are pretty good free throw shooters. Daren makes 75% of the
free throws he attempts. Josh makes 80% of his free throws. Suppose we take
separate random samples of 50 free throws each from Daren and Josh, and
record the proportion of free throws that are made by each. Which of the
following best describes the sampling distribution of PD - Pj?
Answer:
B) Approximately normal, with mean -0.05 and standard deviation 0.083
Step-by-step explanation:
The correct answer is (B). The shape is approximately normal since the expected number of makes and misses for both Daren and Josh are all greater than 10.
The distribution of pD = pJ is given by: Option B: Approximately normal, with mean -0.05 and standard deviation 0.083
What is the distribution of population proportion?For large enough sample, let the population proportion of a quantity be denoted by random variable [tex]p[/tex]
Then, we get:
[tex]p \sim N(\hat{p}, \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}})[/tex]
where
[tex]\hat{p}[/tex] = estimated(mean value) proportion of that quantity, and n = size of sample drawn.Suppose that a random variable X is formed by n mutually independent and normally distributed random variables such that:
[tex]X_i = N(\mu_i , \sigma^2_i) ; \: i = 1,2, \cdots, n[/tex]
And if
[tex]X = X_1 + X_2 + \cdots + X_n[/tex]
Then, its distribution is given as:
[tex]X \sim N(\mu_1 + \mu_2 + \cdots + \mu_n, \: \: \sigma^2_1 + \sigma^2_2 + \cdots + \sigma^2_n)[/tex]
Here, we're specified that:
For proportion of correct free throw attempts by Daren:
Sample size = n = 50Estimated proportion = [tex]\hat{p}_D = 75\% = 0.75[/tex]Let the population proportion be represented by variable [tex]p_D[/tex]For proportion of correct free throw attempts by Josh:
Sample size = n = 50Estimated proportion = [tex]\hat{p}_J = 80\% = 0.8[/tex]Let the population proportion be represented by variable [tex]p_J[/tex]And therefore, we have:
[tex]p_D \sim N\left (0.75, \sqrt{\dfrac{0.75 \times 0.25}{50}}\right )\\\\p_J \sim N\left (0.80, \sqrt{\dfrac{0.8 \times 0.2}{50}}\right )[/tex]
And therefore, we get:
[tex]-p_J \sim N\left (-0.80, \sqrt{\dfrac{0.8 \times 0.2}{50}}\right )[/tex] (standard deviation doesn't get affected by change of sign of the considered random variable, and mean gets affected linearly, so mean became negative 0.80 and standard deviation stays same).
Adding [tex]p_D[/tex] and [tex]-p_J[/tex], we get:
[tex]p_D + (-p_J) = p_D - p_j \sim N\left (0.75 -0.80, \sqrt{\dfrac{0.8 \times 0.2}{50} + \dfrac{0.75 \times 0.25}{50}}\right )\\\\p_D - p_J \sim N\left( -0.05, 0.0837\right)[/tex]
Thus, the distribution of pD = pJ is given by: Option B: Approximately normal, with mean -0.05 and standard deviation 0.083
Learn more about population proportion here:
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A tree is being cut down to form four equal stumps. The trunk of the tree measures 8 2/3 feet in length. What will
be the length of each stump?
1)) An angle measures 132° less than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
156° and 24°
Step-by-step explanation:
Let it's supplementary angle be x.
So, the angle = (x - 132)°
As we know, sum of supplementary angles is 180°;
x + x - 132 = 180
2x = 180 + 132
2x = 312
x = 312/2
x = 156°
(x-132)° = (156-132)° = 24°
Hence, the angles are 156° and 24°.
y = -2x² + 5x+- 11 how do I write this in a standard form?
9514 1404 393
Answer:
y = -2x² +5x -11
Step-by-step explanation:
Combine the signs on the constant. The terms are already in order of descending powers of x, which is what you want for standard form.
y = -2x² +5x -11
Wendy is making lemonade. As shown in the table, Wendy mixes water and lemon juice. Which equation shows how much lemon juice is needed for 6 ounces of water?
Answer:
L = 1/3 W
Step-by-step explanation:
If you look at the table, you can see that all of the water is divided by three to find the amount of lemon juice. Using the process of elimination, this answer choice is the only one containing the number "3."
Joe makes an hourly wage of $14.00. Last week, Joe worked 58 hours.
What is Joe's gross pay for this pay period?
Answer:
812 dollars 14 x 58 = $812 dollars.
Step-by-step explanation:
Answer:
I think it is 812 tell me if I'm wrong please
State the cross section of the shape found in the picture
For a certain company, the cost function for producing x items is C(x)=50x+200 and the revenue function for selling x items is R(x)=−0.5(x−120)2+7,200. The maximum capacity of the company is 140 items.
Assuming that the company sells all that it produces, what is the profit function?
P(x)=
Preview Change entry mode .
Hint: Profit = Revenue - Cost as we examined in Discussion 3.
What is the domain of P(x)?
Hint: Does calculating P(x) make sense when x=−10 or x=1,000?
The company can choose to produce either 70 or 80 items. What is their profit for each case, and which level of production should they choose?
Profit when producing 70 items =
Number
Profit when producing 80 items =
Number
Can you explain, from our model, why the company makes less profit when producing 10 more units?
The profit equation is:
p(x) = -0.5*x^2 + 70x - 200
The domain is:
x ∈ [0, 140], such that x ∈ Z
and the profit is larger for 70 items.
We know that:
Cost equation:
c(x) = 50*x + 200
revenue equation:
r(x) = -0.5*(x - 120)^2 + 7,200
The maximum capacity is 140
Then x can be any value in the range [0, 140]
We want to find the profit equation, remember that:
profit = revenue - cost
Then the profit equation is:
p(x) = r(x) - c(x)
p(x) = ( -0.5*(x - 120)^2 + 7,200) - ( 50*x + 200)
Now we can simplify this:
p(x) = -0.5*(x - 120)^2 + 7,200 - 50x - 200
p(x) = -0.5*(x - 120)^2 + 7,000 - 50x
p(x) = -0.5*(x^2 - 2*120*x + 120^2) + 7,000 - 50x
p(x) = -0.5*x^2 + 120x - 7,200 + 7,000 - 50x
p(x) = -0.5*x^2 + 70x - 200
Now we want to answer, what is the domain of p(x)?
The domain is the set of the possible inputs of the function.
Remember that x is in the range [0, 140], such that x should be a whole number, so we also need to add x ∈ Z
then:
x ∈ Z ∧ x ∈ [0, 140]
Then that is the domain of the profit function.
Now we want to see the profit for 70 and 80 items, to do it, just evaluate p(x) in these values:
70 items:
p(70) = -0.5*70^2 + 70*70 - 200 = 2,250
p(80) = -0.5*80^2 + 70*80 - 200 = 2,200
So the profit is smaller for the larger number of items, why does this happen?
You can see that the profit equation is a quadratic equation with a negative leading coefficient, so, as the value of x increases after a given point (the vertex of the quadratic) the profit will start to decrease.
If you want to learn more about quadratic functions, you can read:
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the cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters. what is the area of the base of the cylinder? express your answer in items of pi
Answer:
16
Step-by-step explanation:
The base of a cylinder is a circle. The equation to find the area of a circle is A=r^2. A is the area, r is the radius. So, first r squared. 4 times 4 is 16. Then you multiply 16 times , and end up with 16.
5/3 plus 11/4 I NEED IT FAST!!
Find the area of 10cm, 27cm, 9cm and 24cm.
If you are helped with my answer pls tag me brianliest
THANK YOU.........Find the missing number 15/8
The base and height of a triangle are each extended 2cm. what is the area of the shaded region? explain how you know
PLEASE HELP ILL GIVE YOU BRAINLIEST PLESSE HELPPPP
Answer:
18cm^2
Step-by-step explanation:
The computation of the area of the shaded region is shown below:
But before that the x value is
x ÷ 8 = (x+2) ÷ 10
10x = 8x + 16
10x - 8x = 16
2x = 16
x = 8
Now as we know that
Area = base × height
= 2cm × 8cm
= 16cm²
Now for small triangle
Area = 1 ÷ 2(base)(height)
= 1 ÷ 2 × (2)(2)
=4 ÷ 2
A = 2cm²
Now the total area of the shaded region is
= 16cm^2 + 2cm^2
= 18cm^2
what is a project in project planning and management and business
Answer:
Step-by-step explanation:
Business projects are intended to achieve defined business objectives and are aligned with a company's business strategy. ... It's important to note that all projects, regardless of type, must meet certain criteria to be considered projects. The primary two requirements are that they are both temporary and unique
Project management is the process of leading the work of a team to achieve goals and meet success criteria at a specified time. The primary challenge of project management is to achieve all of the project goals within the given constraints
How do you define a project?
According to the PMBOK (Project Management Body of Knowledge) 3rd edition, A project is defined as a “temporary endeavor with a beginning and an end and it must be used to create a unique product, service or result”. Further, it is progressively elaborated.
What is a project in business?
A project is a temporary piece of work which falls outside 'business as usual' day-to-day operations and can be anything from moving offices or building a website to carrying out major construction work or complex statistical analysis. Some businesses are entirely project-based
It takes Bethany 9 hours to proof a chapter of Hawkes Learning Systems' College Algebra book and it takes Nina 5 hours. How long would it take them working together
Hello!
Here we could use something called the work equation.
If [tex]x[/tex] is considered proofing a chapter of the book, we can set up an equation such as, [tex]\frac{1}{9}+\frac{1}{5}=\frac{1}{x}[/tex].
Then, all we do is solve for it.
[tex]\frac{1}{9}+\frac{1}{5}=\frac{1}{x}[/tex]
[tex]5x+9x=45[/tex]
[tex]14x=45[/tex]
[tex]x=\frac{45}{14}[/tex]
So working together, it would take them [tex]\frac{45}{14}[/tex] hours to proof a chapter of the book.
Hope this helps!
Find the area of the composite figure?
Answer:
400
Step-by-step explanation:
25*35=700
10*30=300
700-300=400
Plzzzz guys help :( Which of the following is the mid point of the line segment with endpoints -3 and 2 (a)5/2 (b) 1 (c) -1/2 (d) -1 (e)-5/2
Answer:
C -1/2
Step-by-step explanation:
midpoint = sum of end points divide by 2.
here, midpoint = (-3+2)/2
=(-1/2)
Answer:
- 1 / 2
Step-by-step explanation:
→ Add the 2 numbers together
-3 + 2 = -1
→ Divide answer by 2
- 1 ÷ 2 = - 1 / 2 or - 0.5
Exercise 11.4.3: Detecting a biased coin. About A gambler has a coin which is either fair (equal probability heads or tails) or is biased with a probability of heads equal to 0.3. Without knowing which coin he is using, you ask him to flip the coin 10 times. If the number of heads is at least 4, you conclude that the coin is fair. If the number of heads is less than 4, you conclude that the coin is biased. (a) What is the probability you reach an incorrect conclusion if the coin is fair
Answer:
0.17189
0.3504
Step-by-step explanation:
For a fair coin ; p = 0.5
1 - p = 0.5
P(x < 4) = p(x = 0) + p(x =1) + p(x = 2) + p(x = 3)
Recall:
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Using a calculator to save time:
P(x <4) = 0.00098 + 0.00977 + 0.04395 + 0.11719
P(x < 4) = 0.17189
For a unfair coin :
p = 0.3 ; 1 - p = 1 - 0. 3 = 0.7
P(x ≥ 4) = p(x=4)+p(x =5)+p(x=6)+p(x=7)+p(x=8)+p(x=9) +P(x=10)
Recall:
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Using a calculator to save time:
P(x ≥4) = 0.3504
What slope of the points (9,7) and (3,3)
Answer:
6/4
Step-by-step explanation:
Answer:
slope
=
−
21
16
Explanation:
to calculate the slope m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
−
7
,
11
)
and
(
x
2
,
y
2
)
=
(
9
,
−
10
)
⇒
m
=
−
10
−
11
9
−
(
−
7
)
=
−
21
16
=
−
21
16
Step-by-step explanation:
Horseshoe crabs on a beach can be overturned by approaching waves. These “stranded” crabs may right themselves by turning over. During a period of many days on an Atlantic Ocean beach, investigators categorized a random sample of crabs as either stranded or not stranded and additionally noted their age category. The researchers wanted to investigate whether there is convincing evidence of an association between becoming stranded and age. Data from their study are shown in the following table.
Answer:
B) 52.54
Step-by-step explanation:
The 52.54 is closest to the expected number of young stranded horseshoe crabs.
Here we have given that,
Horseshoe crabs on a beach can be overturned by approaching waves.
The researchers wanted to investigate whether there is convincing evidence of an association between becoming stranded and age. Data from their study are shown in the table.
Young Intermediate Adult Total
Yes 41 125 52 218
No 153 364 70 587
Total 194 489 122 805
What is the formula for expected number of young stranded horseshoe crabs?[tex]Expected number of young stranded horseshoe crabs=\frac{Total values of young horseshoe crabs}{ total crabs}[/tex]
Therefore we get,
Expected number of young stranded horseshoe crabs is,
[tex]=194 (\frac{218}{805} )[/tex]
[tex]=52.54[/tex]
Therefore ,the 52.54 is closest to the expected number of young stranded horseshoe crabs.
To learn more about the expected number of young stranded horseshoe crabs visit:
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PLEASE HELP I NEED THIS
Answer:
The answer is B because left and down are negative
What is the solution to the inequality below 8 m> 40
Answer:
M>5
Step-by-step explanation:
Lets just rewrite the equation
8m>40 is the same as m(8)>40
lets divide
8m / 8>40/8
m>5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
I am a number. If you square the product of 3 and 4 you will know what I am. I am __________.
Answer:
144
Step-by-step explanation:
product of 3 and 4 = 12
square of 12 = 144
x=1 and y=3
2x+3y-2
plsss helpp <3
Answer:
9
Step-by-step explanation:
2x + 3y - 2 =9
(2) + (9) -2 =9
Suppose that y varies directly with x , y= 15 and when x=6. write a direct variation equation
Answer:
[tex]y = \frac{5}{2}x[/tex]
Step-by-step explanation:
Given
Variation: Direct from y to x:
[tex]y\ \alpha\ x[/tex]
[tex]y =15; x = 6[/tex]
Required
Write the equation
[tex]y\ \alpha\ x[/tex]
Express as an equation
[tex]y = kx[/tex]
Where k is the constant of variation
Substitute [tex]y =15; x = 6[/tex]
[tex]15 = 6k[/tex]
Solve for k
[tex]k = \frac{15}{6}[/tex]
[tex]k = \frac{5}{2}[/tex]
Substitute [tex]k = \frac{5}{2}[/tex] in [tex]y = kx[/tex]
[tex]y = \frac{5}{2}x[/tex]
Can someone pls help with this
Answer: 4
Step-by-step explanation:
(a) Tom is 7 years old. Bill is 5 years older than Tom.
Write Bill's age in terms of T.
Answer:
12 years old
Step-by-step explanation:
7 + 5 = 12
T + 5