The 50th percentile is NOT a measure of dispersion. What is a measure of dispersion? A measure of dispersion is a statistical term used to describe the variability of a set of data values. A measure of dispersion gives a precise and accurate representation of how the data values are distributed and how they differ from the average. A measure of central tendency, such as the mean or median, gives information about the center of the data; however, it does not give a complete description of the distribution of the data. A measure of dispersion is used to provide this additional information.
Measures of dispersion include the range, interquartile range, variance, and standard deviation. The 50th percentile, on the other hand, is a measure of central tendency that represents the value below which 50% of the data falls. It does not provide information about how the data values are spread out. Therefore, the 50th percentile is not a measure of dispersion.
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the diagram shows a triangle.
2s
40°
2s
What is the value of s?
Answer:
s would be 20
Step-by-step explanation:
because 2 x 10 = 20 so you then would add the second 20 to the first 20 and get 40
Determine at which points f(z) = Reſiz) is differentiable by using the limit definition of the derivative
Main answer: f(z) = Reſiz is differentiable at every point of the complex plane where partial derivative with respect to x exists and the Cauchy-Riemann equations are satisfied.
Supporting answer: Given f(z) = ReſizLet z = x + iy∴ f(z) = Re(x + iy)z = x - iyi.e. x = ½ (z + z¯)and y = -½i(z - z¯)Hence f(z) = ½ (z + z¯ ) Differentiating f(z) partially with respect to x, we get,fx = ∂(x + y)/∂x = 1And differentiating f(z) partially with respect to y, we get,fy = ∂(x + y)/∂y = 1Now, for f(z) to be differentiable, it is necessary thatfx = uxx + ivxxandfy = uyx + ivyxwhere u = Re (f(z)) and v = Im(f(z))i.e. uxx = vyyanduyx = -vxy These equations are known as the Cauchy-Riemann equations. On substituting, we get uxx = vyy∴ 1 = 0which is not true. Hence f(z) is not differentiable when partial derivative with respect to y exists. So f(z) is differentiable at every point of the complex plane where partial derivative with respect to x exists and the Cauchy-Riemann equations are satisfied.
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What is the area of the base?
In 2019, selected automobiles had an average cost of $14,000.
The average cost of those same automobiles is now $17,360. What was
the rate of increase for these automobiles between the two time
period
The rate of increase for the selected automobiles between 2019 and the present time is 24%. The average cost of the selected automobiles increased from $14,000 in 2019 to $17,360 at present.
To calculate the rate of increase, we can use the formula: rate of increase = (new value - old value) / old value * 100%. Substituting the values into the formula, we get (17,360 - 14,000) / 14,000 * 100% = 3,360 / 14,000 * 100% = 0.24 * 100% = 24%. Therefore, the rate of increase for these automobiles over the given time period is 24%.
In summary, the selected automobiles experienced a rate of increase of 24% between 2019 and the present time. This means that, on average, the cost of these automobiles increased by 24% over the specified period.
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The average American gets a haircut every 43 days. Is the average smaller for college students? The data below shows the results of a survey of 13 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 36, 42, 40, 45, 33, 31, 47, 47, 39, 41, 33, 48, 32 What can be concluded at the the α = 0.05 level of significance level of significance? For this study, we should use Select an answer The null and alternative hypotheses would be: H 0 : ? Select an answer H 1 : ? Select an answer The test statistic ? = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 3 decimal places.) The p-value is ? α Based on this, we should Select an answer the null hypothesis. Thus, the f conclusion is that ... The data suggest the population mean number of days between haircuts for college students is not significantly lower than 43 at α = 0.05, so there is insufficient evidence to conclude that the population mean number of days between haircuts for college students is lower than 43. The data suggest the population mean is not significantly lower than 43 at α = 0.05, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is equal to 43. The data suggest the populaton mean is significantly lower than 43 at α = 0.05, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is lower than 43.
The data suggest that the population mean is not significantly different from 43 at α = 0.05.
To determine whether the average number of days between haircuts for college students is smaller than the average for the average American (43 days), we can conduct a one-sample t-test. Here are the steps and results:
Step 1: Formulate the null and alternative hypotheses:
Null hypothesis (H0): The population mean number of days between haircuts for college students is equal to 43.
Alternative hypothesis (H1): The population mean number of days between haircuts for college students is smaller than 43.
Step 2: Calculate the test statistic:
We can calculate the test statistic using the formula:
t = (x- μ) / (s / √n)
where x is the sample mean, μ is the hypothesised population mean (43), s is the sample standard deviation, and n is the sample size.
Using the given data, the sample mean x is calculated to be 39.923, the sample standard deviation s is 6.106, and the sample size n is 13.
Substituting these values into the formula, we get:
t = (39.923 - 43) / (6.106 / √13) = -0.808
Step 3: Calculate the p-value:
The p-value represents the probability of obtaining a test statistic as extreme as the observed value (or more extreme) if the null hypothesis is true. We can use the t-distribution to calculate the p-value.
Using a t-table or a statistical software, we find that the p-value for t = -0.808 with 12 degrees of freedom is approximately 0.438.
Step 4: Make a decision:
Comparing the p-value (0.438) to the significance level α (0.05), we find that the p-value is greater than α.
Therefore, we fail to reject the null hypothesis.
Based on the results, we conclude that there is insufficient evidence to conclude that the population mean number of days between haircuts for college students is lower than 43. The data suggest that the population mean is not significantly different from 43 at α = 0.05.
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Which equation represents a circle with a center at -3, -5) and a radius of 6 units?
O (x - 3)2 + (-5)2 = 6
0 (x - 3)2 + (-5)2 = 36
O (x + 3)2 + (y + 5)2 = 6
(x + 3)2 + (y + 5)2 = 36
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Answer:
(x+3)²+(y+5)² = 36
Step-by-step explanation:
The general equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the centre of the circle
r is the radius of the circle
Given
Centre (-3, -5)
a = -3 and b = -5
radius r = 6units
Substitute
(x-a)²+(y-b)² = r²
(x-(-3))²+(y-(-5))² = 6²
(x+3)²+(y+5)² = 36
hence the required equation is (x+3)²+(y+5)² = 36
The equation of a circle that represents a circle with a center at (-3, -5) and a radius of 6 unit is (x + 3)² + (y + 5)² = 36
Equation of a circleThe general equation of a circle is expressed as follows:
(x-a)²+(y-b)² = r²
where
r = radius of the circlea and b are the centre of the circleTherefore,
a = -3
b = -5
r = 6
Hence,
(x - (-3))² + (y - (-5))² = 6²
(x + 3)² + (y + 5)² = 36
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A total of 397 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 fewer student tickets sold than adult tickets. How many adult tickets were sold?
A circle has a radius of 15 cm. Find the diameter
Answer:
15 times 2 = 30
diameter = 30
Step-by-step explanation:
The scatter plot shows the relationship between annual salary and years of experience. What is the range of the cluster shown in the scatter plot?
A) 1 to 15 years of experience
B) 8 to 12 years of experience
C) $10,000 to $90,000 annual salary
D) $40,000 to $60,000 annual salary
Answer: 8 to 12 years
Step-by-step explanation: A cluster is formed when several data points lie in a small interval. The domain of the cluster is the set of x-coordinates.
The range of the cluster in the scatter plot is between $40,000 and $60,000 when the data points are heavily clustered between the years 8 to 12.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
Given that, on scatter plot
Years of experience is represented at x-axis
Annual Salary is represented at y-axis
From the scatter plot, it is clear that from the x-axis the data points are tightly clustered between the years 8 to 12. As major portion of the data points lie between 8 to 12 years.
Similarly, from the y-axis the data points are tightly clustered between between $40,000 and $60,000. As major portion of the data points lie between $40,000 and $60,000.
When the certain data points in a scatter plot make distinct groups, these groups are considered as clusters. Those data points normally appear to be converged around a particular value.
Therefore, the range of the cluster in the scatter plot is between $40,000 and $60,000 for the data points between the years 8 to 12.
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6) Examples (a) j5 points Give an example of an infinite field such that 4-a -o for alle € F. (b) [5 points) Give an example of an infinite, non-commutative ring R such that for all a we have that 2a=0.
(a) An example of an infinite field such that 4-a -o for all e F is F_2.
Here, the only elements of the field are 0 and 1, and we have 1 + 1 = 0,
which is equivalent to 4 - 1 - 1 = 2 - 1 - 1 = 0. Therefore, for all a e F_2, 4 - a - a = 0, so F_2 satisfies the given condition.
(b) An example of an infinite, non-commutative ring R such that for all a we have that 2a = 0 is the ring of 2x2 matrices over the field F_2 (as defined in part (a)). If we identify the matrix \begin{pmatrix}a&b\\c&d\end{pmatrix} with the element ad + bc of F_2, then R becomes a ring.
Note that R is not commutative since the product of two matrices is not necessarily equal to the product of their entries, and that 2a = 0 for all matrices \begin{pmatrix}a&b\\c&d\end{pmatrix} in R since \begin{pmatrix}a&b\\c&d\end{pmatrix}\begin{pmatrix}0&1\\0&0\end{pmatrix} = \begin{pmatrix}0&a\\0&c\end{pmatrix} and \begin{pmatrix}a&b\\c&d\end{pmatrix}\begin{pmatrix}0&0\\1&0\end{pmatrix} = \begin{pmatrix}b&0\\d&0\end{pmatrix} have entries that are equal to 0 in F_2. Therefore, R satisfies the given condition.
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Bob a builder has come to you to build a program for his construction business. He needs to determine the square footage of a room in order to buy materials and calculate costs. Bob charges $425 per square metre. The program is going to ask the user to enter the name of a room. It will then ask for the width and length of the room (in meters) to be built. The program will calculate the room area and use this information to generate an approximate cost. Your program will display the room, the total area and the approximate cost to the screen. Using Pseudocode, develop an algorithm for this problem.
Answer : The below pseudocode will calculate the cost by multiplying the area with 425. The output will be the room name, area of the room, and approximate cost to construct the room in dollars.
Explanation:
Given:Bob charges $425 per square metre.To develop an algorithm to calculate the area of the room and the approximate cost.
Pseudocode:
Step 1: Start Step 2: Declare variables : room Name of string type,Width of float type,Length of float type,Cost of float type
Step 3: Display "Enter the name of the room:" Step 4: Read the room Name Step 5: Display "Enter the width of the room (in meters):" Step 6: Read the Width Step 7: Display "Enter the length of the room (in meters):" Step 8: Read the Length Step 9: Calculate the area of the room as Area = Width * Length Step 10: Calculate the cost of the room as Cost = Area * 425 Step 11: Display "Room Name:", roomName Step 12: Display "Area of the Room (in square metres):", Area Step 13: Display "Approximate Cost of Construction:", Cost Step 14: Stop
The program will take the input as the name of the room, width, and length of the room, and then it will calculate the area of the room by multiplying width and length. Then it will calculate the cost by multiplying the area with 425. The output will be the room name, area of the room, and approximate cost to construct the room in dollars.
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What is the equation of the following line please help
Answer:
C
Step-by-step explanation:
To find the area, multiply the area of the entire circle by __?
What number goes in the box.
Answer:
3.142 × 6 = 18.852, thats : 19cm, then multiply 19 by 6 , so 19 would go in the square.
because area of a circle is p × r sq. u multiply one of the 6 by 3.142, you get 19, then multiply that 19 by the other 6. the answer is approximately 113.112.
You Got to Leon and mango house and you decide to eat them, You Eat Mango 328 Times And You eat Leon 338 Times. How many times did you eat my friends leon and mango today? Dana Says That 60 Times And I Say That 666 Times.... Say Your answer Down below
A. 60 Times
B. 11 Times
C. 100 Times
D. 666 Times
PLEASE HOW YOUR WORK!
Answer:
The answer for the question is 666
Step-by-step explanation:
328+338=666
Answer:
666
Step-by-step explanation:
328+338=666
i ate ur friends 666 times
5,000 x 683,629,638,953,019.582
Answer:
3418148194765097900
Step-by-step explanation:
Just multiplied
have a great day!
Function B has a greater rate of change and a smaller y-intercept than function A. Which equation could represent function B?
Answer:
function A : y = 50 + 0.5x ; y = 40 + 0.6x
Step-by-step explanation:
Function is a relationship between values in set x & set y.
In case functional relationship equation is y = c + sx . c is the y intercept ie constant value of y when x = 0, & s is slope rate of change ie = change in y / change in x.
If function A is y = 50 + 0.5x. Intercept (c) = 50 , change rate (slope) = 0.5
If function B is y = 40 + 0.6x. Intercept (c) = 40 ie lesser, change rate (slope) = 0.6 ie greater
waht is the answer for this? −35−85+5−25
PEMDAS
-140
-35-85=-120
-120+5-25
-120+5=-115
=-115-25
-115-25=-140
-140
A box is filled with 9 yellow cards, 5 red cards, and 6 blue cards. A card is chosen at random from the box. What is the probability that it is a yellow or a blue card? Write your answer as a fraction in simplest form
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
9 + 5 + 6 = 20 (how many cards there are altogether)
9 yellow + 6 blue = 15 (how many cards are either yellow or blue)
so:
[tex]\frac{15}{20}[/tex]
simplified:
[tex]\frac{3}{4}[/tex]
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
There are 20 total cards ( 9 + 5 + 6). 15 of them are yellow or blue(9 + 6). So, the fraction is [tex]\frac{15}{20}[/tex]. [tex]\frac{15}{20}[/tex] simplifies to [tex]\frac{3}{4}[/tex].
question 9 of 10 explain how you can determine the sign of the sum of two integers if one integer is positive and the other integer is negative.
To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.
If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.
On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.
In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.
By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.
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convert 53 m = cm
help pls
Lavonne estimated 38% of 63 by rounding 38% up to 40%, rounding 63 up to 70, and then multiplying 70 by 0.4 to get 28. Is her estimate reasonable?
a. Yes, her estimate is reasonable.
b. No, her estimate is too high.
c. No, her estimate is too low.
d. It is impossible to determine without more information.
No, her estimate is too high.
Given,
Lavonne estimated 38% of 63 by rounding 38% up to 40%, rounding 63 up to 70, and then multiplying 70 by 0.4 to get 28 .
Now
Firstly calculate the actual answer:
38% of 63
= 38/100 * 63
= 23.94
Now
The approximated portion :
40% of 70
= 0.4 *70
= 28
Hence the answer should be around 24 but after approximation it is coming 28 .
Thus the estimate made by Lavonne is high .
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consider the hypothesis test. h0: p1 − p2 ≤ 0 ha: p1 − p2 > 0 the following results are for independent samples taken from the two populations. sample 1 sample 2 n1 = 200 n2 = 300 p1 = 0.25 p2 = 0.13
(a)
Calculate the test statistic. (Round your answer to two decimal places.)
What is the p-value? (Round your answer to four decimal places.)
p-value =
The p- value is approxiamately 0.0001.
To calculate the test statistic, we first need to find the standard error of the difference between the two sample proportions. The formula for the standard error is SE = √(( p1 ×( 1- p1)/ n1)( p2 ×( 1- p2)/ n2)) Substituting the given values into the formula,
we get SE = √((0.25 ×( 1-0.25)/ 200)(0.13 ×( 1-0.13)/ 300)) =0.0326. The test statistic is also calculated as the difference between the sample proportions divided by the standard error.
Test Statistic = ( p1- p2)/ SE = (0.25-0.13)/0.0326 =3.68.
To find the p- value, we compare the test statistic to the applicable distribution. Since the indispensable thesis is one- tagged( p1- p2> 0), we'd use the standard normal distribution. Looking up the test statistic of3.68 in the standard normal distribution table, we find that the corresponding p- value is veritably close to 0.0001.
This means that if the null thesis( H0 p1- p2 ≤ 0) is true, there's a veritably low probability(0.0001) of observing a test statistic as extreme as the one calculated from the sample data. Hence, we've strong substantiation to reject the null thesis in favor of the indispensable thesis( Ha p1- p2> 0).
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1. Find the coordinates of the center and the measure of the radius for a circle whose equation is
(x - 8) + (y + 4) = 12
Answer:
the center of this circle is (8, -4) and the radius is 2√3.
Step-by-step explanation:
Compare this equation
(x - 8) + (y + 4) = 12 Don't forget to type in the " ^ " symbol to indicate exponentiation.
(x - 8)^2 + (y + 4)^2 = 12
to the standard equation of a circle with center at (h, k) and radius r:
(x - h)^2 + (y - k)^2 = r^2
In this way we learn that h = 8, k = -4 and r^2 = 12 (or r = 2√3).
Then the center of this circle is (8, -4) and the radius is 2√3.
The characteristics of the Liberty Company bond is listed below. How much is the annual interest payment? Coupon rate 10.20% Yield to maturity 10.55% Face value $1,000 Market price $850 $101.75 O $102.00 $105.50 O $120.00
The Liberty Company bond has the following characteristics:
Coupon rate: 10.20%
Yield to maturity: 10.55%
Face value: $1,000
Market price: $850, $101.75, $102.00, $105.50, or $120.00
The question asks for the annual interest payment.
To calculate the annual interest payment, we need to multiply the coupon rate by the face value of the bond. The coupon rate represents the annual interest rate as a percentage. In this case, the annual interest payment can be calculated as 10.20% of the face value, which is $1,000.
Therefore, the annual interest payment for the BCompany bond is $1,000 * 10.20% = $102.00.
Note: The market price of the bond is provided, but it does not affect the calculation of the annual interest payment. The market price represents the current market value of the bond and may vary depending on various factors such as supply and demand in the market.
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There are 20,502 seats in the stadium. If there are 19,624 people in attendance, what percent of the seats are filled?
Approximately 4.28% of the seats are filled in the stadium when there are 19,624 people in attendance. To determine the percentage of seats filled in the stadium, we need to calculate the ratio of the number of people in attendance to the total number of seats and then convert it to a percentage.
The number of seats filled can be found by subtracting the number of empty seats from the total number of seats. Using the given information:
Number of seats filled = Total number of seats - Number of empty seats
Number of seats filled = 20,502 - 19,624
Number of seats filled = 878
Now, we can calculate the percentage of seats filled by dividing the number of seats filled by the total number of seats and multiplying by 100:
Percentage of seats filled = (Number of seats filled / Total number of seats) * 100
Percentage of seats filled = (878 / 20,502) * 100
Percentage of seats filled ≈ 4.28%
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ANOTHERRR >: D
THANKS FOR ALL THE PEOPLE HELPINGG < 3
Answer: it C trust me it right & can you please mark me Brainliest
Step-by-step explanation: Hope this help :D
☁️ Answer ☁️
C, x < 4.
2/x −3< − 1
Multiply both sides of the equation by 2.
x−6< −2 (negative 2)
Add 6 to both sides.
x < (negative 2) −2 + 6
Add −2 and 6 to get 4.
x < 4
Hope it helps.
Have a nice day noona/hyung.
what is the measure of ∠x?
Answer:
58
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
90-32=58
Determine whether the points P and Q lie on thegiven surface.
r(u, v) =‹u+v, u2 - v,u + v2›
P(4, 2,6)
Q(5, 1,-11)
P and Q are on thesurface.
P is on the surface, butQ is not.
Q is on the surface, butP is not.
Neither P or Q are onthe surface.
P(4, 2, 6) is on the given surface, but Q(5, 1, -11) is not. The correct answer is that P is on the surface, but Q is not
To determine whether the points P(4, 2, 6) and Q(5, 1, -11) lie on the given surface, we need to check if their coordinates satisfy the equation r(u, v) = <u + v, u^2 - v, u + v^2>.
For P(4, 2, 6):
Plugging in the coordinates of P into the equation, we have:
r(4, 2) = <4 + 2, 4^2 - 2, 4 + 2^2> = <6, 14, 8>.
The coordinates of P(4, 2, 6) match the coordinates obtained from the equation, so P lies on the surface.
For Q(5, 1, -11):
Plugging in the coordinates of Q into the equation, we have:
r(5, 1) = <5 + 1, 5^2 - 1, 5 + 1^2> = <6, 24, 6>.
The coordinates of Q(5, 1, -11) do not match the coordinates obtained from the equation, so Q does not lie on the surface.
Therefore, the correct answer is that P is on the surface, but Q is not. The given coordinates for P(4, 2, 6) satisfy the equation, while the coordinates for Q(5, 1, -11) do not match the equation, indicating that Q does not lie on the given surface.
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A population of 60 foxes in a wildfire preserve doubles in size every 12 years. The function y = 60*2^x, where x is the number of 12-year periods, models the population growth. How many foxes will there be after 24 years?
what is the absolute value of -l8|
Answer:
-8 i think
Hope you get it right
Answer:
the absolute value of -l8| is 8
Step-by-step explanation:
Absolute value means the opposite