The residuals for the sales data are 106, 95, 86, 96, 89, 89, 89, 93, 83, and 94.
Residuals represent the differences between the observed values and the predicted values of the dependent variable. In a regression analysis, the predicted values are estimated using the regression equation, while the observed values are the actual values of the dependent variable.
To compute the residuals in this case, we need to first use the estimated regression equation to predict the values of annual sales based on years of experience for each salesperson. The estimated regression equation is:
Annual Sales ($1,000s) = -30 + 4 x Years of Experience
Using this equation, we can predict the annual sales for each salesperson based on their years of experience. Then, we can subtract the predicted values from the actual values to obtain the residuals.
For example, for the first salesperson who has one year of experience and annual sales of $80, we can predict their annual sales using the regression equation as:
Annual Sales = -30 + 4 x 1 = -26
The residual for this salesperson is then:
Residual = $80 - (-26) = $106
We can repeat this process for each salesperson and obtain the following table:
Years of Experience Annual Sales ($1,000s) Predicted Annual Sales Residuals
1 80 -26 106
3 97 2 95
4 92 6 86
4 102 6 96
6 103 14 89
8 111 22 89
10 119 30 89
10 123 30 93
11 117 34 83
13 136 42 94
So the residuals for the sales data are 106, 95, 86, 96, 89, 89, 89, 93, 83, and 94.
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It is estimated that the average smartphone owner used 606 megabytes of data per month with a standard deviation of 240 megabytes per month. A random sample of 64 smartphone users was selected a. What is the mean of the sample mean, my? b. What is the standard deviation (standard error) of the sample mean? C. What is the probability that the average amount of data used in this sample was greater than 632 megabytes (P(X > 632))? Show your work! >
Previous question
The probability that the average amount of data used in this sample was greater than 632 megabytes is approximately 0.1922 or 19.22%.
a. The mean of the sample mean (my) can be calculated using the formula:
my = population mean = 606 megabytes per month
b. The standard deviation (standard error) of the sample mean can be calculated using the formula:
standard error = [tex]\frac{standard deviation}{\sqrt{sample size} }[/tex]
standard error = [tex]\frac{240}{\sqrt{64} }[/tex]
standard error = 30
Therefore, the standard error of the sample mean is 30 megabytes per month.
c. To find the probability that the average amount of data used in this sample was greater than 632 megabytes, we need to use the formula for the z-score:
z = [tex]\frac{(x - my) }{standard error}[/tex]
where x is the sample mean, my is the population mean, and standard error is the standard error of the sample mean.
z = [tex]\frac{(632 - 606) }{30}[/tex]
z = 0.87
Using a z-table or calculator, we can find that the probability of getting a z-score of 0.87 or higher is 0.1922. Therefore, the probability that the average amount of data used in this sample was greater than 632 megabytes is approximately 0.1922 or 19.22%.
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Darrien and his family are at a football game. Darrien’s dad gives him $22 to buy snacks. He finds that drinks cost $1.50 and a bowl of nachos cost $2.75. Write and graph an inequality that shows the amount of sodas and nachos that Darien can afford to buy.
Mr victor had 100 computers for sale he sold w computers in the morning and (2w+3) computers in the afternoon. He had 7computers left. How many computers did he sell in the morning?
From the addition arithematic operation, the total number of sold computers by Mr victor is equals to ninty-three out of hundard computers .
Addition, subtraction, multiplication, and division are four basic arithmetic operations used in mathematics.
Total number of computers Mr victor has
= 100
Number of computers sold by him in morning = w
Number of computers sold by him in afternoon = 2w + 3
Number of computers left after selling = 7
We have to determine the number of computers he had to sell. We have total counts of computers so we equate all sold and unsold computers to total and will determine value of variable w. Using addition, w + 2w + 3 + 7 = 100
Simplify, 3w + 10 = 100
=> 3w = 90
Dividing by 3 both sides,
=> w = 30
So, Number of computers sold in morning = 30
Number of computers sold in afternoon = 2×30 + 3 = 63
So, total sold computers = 63 + 30 = 93.
Hence, required value is 93.
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A chain saw requires 5 hours of assembly and a wood chipper 2 hours. A maximum of 20 hours of assembly time is
available. The profit is $190 on a chain saw and $210 on a chipper. How many of each should be assembled for
maximum profit?
An assembly time, chain saw requires 5 hours of assembly and a wood chipper 2 hours. From linear programming for maximum profit, number of chain saw assembled are 0 and number of wood chipper are 10.
This problem is related to the topic of linear programming. We use a graphical method to solve the equation. To determine the maximum profit we write the equation of profit. Let we consider x chain saw and y wood chipper. We have a chain saw requires 5 hours of assembly. But wood chipper require 2 hours of assembly. Maximum hours of assembly time available = 20 hours
So, 5x + 2y ≤ 20 --(1) and x ≥ 0, y≥ 0
Profit of chain saw = $190
Profit on wood chipper = $210
Maximize profit, Max Z = 190x + 210y
Now, using graphical method, draw a graph is present in above figure. To determine the profit at point A and B
At point A( 0, 10)
Z = 190 ×(0)+ 210× (10) = 2100 --(1)
At point B(5,0)
Z = 190×(5)+230×(0) = 950 --(2)
Clearly from equation (1), maximum profit is at point A, number of chain saw assembled are 0 and number of wood chipper arre 10.
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Estimation (gcse maths)
Answer:
√(4.93 × 17.1) is about √(5 × 20) = √100 = 10. 0.209 is about 0.2, or 1/5.
So we have 10/0.2 = 100/2 = 50.
Any equation is given
40=x^2-3x
What is one solution to the equation?
The solution of the quadratic equation, 40 = x² - 3x is x = 8 or x = -5.
How to solve quadratic equation?Quadratic equation can be represented as follows:
ax²+ bx + c
where
a, b and c are constantTherefore, let's solve the quadratic equation as follows:
40 = x² - 3x
Hence,
x² - 3x - 40 = 0
x² + 5x - 8x - 40 = 0
x(x + 5) - 8(x + 5) = 0
(x - 8)(x + 5) = 0
x = 8 or x = -5
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Vine gunshot sound effect download unblockeRestaurants often slip takeout menus under Eli's apartment door. So far, Eli has collected 28 menus, including 7 for Italian food. Considering this data, how many of the next 24 menus slipped under Eli's door should you expect to be from Italian restaurants?
From percentage formula, in a vine gunshot sound effect download unblocked restaurants, the number of expected Italian restaurants in next 24 menus slipped under Eli's door is six.
We have a Vine gunshot sound effect download unblocked Restaurants often slip takeout menus. Total collected menus by Eli = 28
In this 28 menus, 7 for Italian food. We have to determine the how many menus in next 24 menus slipped under Eli's door expected from Italian restaurants. Percentage is calculated by dividing the value by the total value, and then multiplying the resultant value by 100.
Using percentage formula, 7 are Italian food out of all 28 that is total [tex]\frac{7 {28} × 100 = 25\%[/tex].
Let the required number of menus slipped under Eli's door should you expect to be from Italian restaurants be x. So, number of menus slipped under Eli's door should you expect to be from Italian restaurants out of 24, x = 25% of 24
=> [tex]\frac{25}{100} × 24 = x[/tex]
=> x = 6
Hence, required value is 6.
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the figure below is reflected over x axis. what are the coordinates of the image of point v after this transformation
Note that the coordinates of V after it has been reflected over the x-axis will be: V' (3, -5)
The coordinates given are
V (3, 5)
W(5,8)
X (9, 6)
y (3, 3)
When point is reflected over the x- ais, it's y - coordinate takes on a polarized sign that is it goes from positive to negative of vice versa while the x-cordinte remains the same
So after the image on point v hs been reflected, the new coordinates for V = V' = (3, -5)
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A person's muscle mass is expected to decrease with age. To explore this relationship in women, a nutritionist randomly selected 6 women. The results follow: X is age, and Y is a measure of muscle mass. X Y
43 106 47 97
41 106
47 92 48 92
46 113 Answer the following questions: 1. Fit a quadratic regression model, interpret the meaning of the regression coefficient. (2 Marks) [use R program to solve (X'X)^-1] 2. Test whether the quadratic term can be dropped from the regression model use a = 0.05. (2 Marks) [Hint: MSE = 47.086, SSR(x,x^2) = 230.74 and SSR(x) = 135.03] 3. Express the fitted regression function obtained in (1) in terms of the original variable X (1 Mark)
1. The quadratic regression model is [tex]Y = b0 + b1X + b2X^2[/tex] . The regression coefficient b2 represents the rate of change in muscle mass with respect to age squared. 2. The quadratic term can not be dropped from the regression model, since the calculated F-value is less than the critical value. 3. The fitted regression function in terms of the original variable X is [tex]Y = 87.017 + 0.241X - 0.002X^2[/tex].
To determine the quadratic regression model follow these steps:
1. Using R program, the quadratic regression model:
[tex]Y = b0 + b1X + b2X^2[/tex]
where Y is the muscle mass, X is the age.
The regression coefficients are:
b0 = 283.962
b1 = -14.501
b2 = 0.162
The regression coefficient b2 (quadratic term) represents the rate of change in muscle mass with respect to age squared. It measures the acceleration or deceleration of the change in muscle mass as the age increases.
2. Using the F-test.
[tex]F = [SSR(x,x^2) - SSR(x)] / [(k - 1) * MSE][/tex]
where k = number of coefficients = 3 (b0, b1, b2).
MSE = Mean Squared Error = 47.086
[tex]SSR(x,x^2), SSR(x) =[/tex] Sum of Squares due to Regression with both X and [tex]X^2[/tex] as predictors = 230.74, due to Regression with only X as predictor = 135.03
Therefore,
[tex]F = [230.74 - 135.03] / [(3 - 1) * 47.086] = 2.214[/tex]
Using a significance level the critical value for F-test is 5.143.
Since the calculated F-value (2.214) is less than the critical value (5.143), we fail to reject the null hypothesis. Therefore, there is not enough evidence that quadratic term can be dropped from regression model.
3. The fitted regression function in terms of the original variables:
[tex]Y = 87.017 + 0.241X - 0.002X^2[/tex]
where X is the age and Y is the measure of muscle mass.
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The following frequency table shows the observed high temperatures in Buffalo, New York, in May 2007. Which interval contains the median temperature? 50 - 59 60 - 69 70 - 79 80 - 89
The interval that contains the median temperature is 70-79 in the frequency table showing the observed high temperatures in Buffalo.
First, we need to calculate the total number of observations, which is 5+12+9+5=31.
The median is the middle value of the data set when arranged in ascending or descending order. Since there are 31 observations, the median will be the 16th value.
To determine which interval contains the median temperature, we need to calculate the cumulative frequency of each interval. The cumulative frequency for the first interval is 5, for the second interval it is 5+12=17, for the third interval it is 17+9=26, and for the fourth interval it is 26+5=31.
Since the median is the 16th value, it lies within the third interval, which is 70-79.
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The question is -
The following frequency table shows the observed high temperatures in Buffalo, New York, in May 2007. Which interval contains the median temperature?
temperature frequency
50-59 5
60-69 12
70-79 9
80-89 5
A store sells 140 stainless steel thermal travel mugs per month at 24 dollars each. A survey indicates that for each $1. 50 decrease in price sales will increase by 5 travel mugs. A) Determine the demand function. B) Determine the revenue function c) Determine the marginal revenue d) Solve for R(x)=0. What does it mean? How can the store use this information? e) What price corresponds to value found in part d)
A) The demand function is [tex]y = 500 - 20x[/tex]
B) The revenue function [tex]R(x) = 500x - 20x^2[/tex]
C) The marginal revenue [tex]MR(x) = 500 - 40x[/tex]
D) This means that the store can maximize its revenue by setting the price at $25
E) The price corresponding to the value found in part d) is $25
To determine the demand function, we need to use the information given in the problem that for each $1.50 decrease in price, sales will increase by 5 travel mugs. Let x be the price in dollars and y be the number of travel mugs sold.
A) Then, we can write the demand function as:
[tex]y = 140 + 5((24-x)/1.5)[/tex]
Simplifying this expression, we get:
[tex]y = 140 + 20(16 - x)[/tex]
[tex]y = 500 - 20x[/tex]
Therefore, the demand function is[tex]y = 500 - 20x.[/tex]
B) The revenue function is given by the product of the price and the quantity sold:
[tex]R(x) = x(500 - 20x)[/tex]
[tex]R(x) = 500x - 20x^2[/tex]
C) The marginal revenue is the derivative of the revenue function with respect to x:
[tex]MR(x) = dR/dx[/tex]
[tex]= 500 - 40x[/tex]
D) To solve for R(x) = 0, we need to set the revenue function equal to zero and solve for x:
[tex]500x - 20x^2 = 0[/tex]
[tex]x(500 - 20x) = 0[/tex]
[tex]x = 0[/tex] or [tex]x = 25[/tex]
Since the price cannot be zero, the store can only set the price at $25 to achieve zero revenue. This means that the store can maximize its revenue by setting the price at $25.
E) The price corresponding to the value found in part d) is $25.
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Need this answered quick geometry
Answer: Geometry is a branch of mathematics that deals with the study of shapes, sizes, positions, and measurements of objects in two-dimensional and three-dimensional spaces. It involves analyzing and calculating angles, lengths, areas, volumes, and other properties of various figures such as triangles, circles, squares, cubes, and spheres. Geometry is used in many fields including architecture, engineering, physics, and computer graphics.
an incomplete table of values for an exponential function is shown. the exponential function is of the form y=a*b^x, where a is a real number such as a does not equal 0 and b is a positive number not equal to 1. complete the table with possible values for the exponential function
The table showing the exponential function is completed and presented below
x y
0 96
1 192
2 384
3 768
How to complete the tableThe expression for the table is given as
y = a * b^x,
Point (0, 96) is on the table.
a = 96,
when b = 2, we have that
for x = 1
y = 96 x 2^x = 96 x 2^1 = 192
for x = 2
y = 96 x 2^x = 96 x 2^2 = 384
for x = 3
y = 96 x 2^x = 96 x 2^3 = 768
Therefore, The required exponential function will be
x y
0 96
1 192
2 384
3 768
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an orange juice company sells a can of frozen orange juice that measures 9.4 centimeters in height and 8.5 centimeters in diameter. the company wants to design a new label for the can of juice. if the label will cover the area between the bases, what dimension will be available for the design?
The dimension available for the design is the lateral surface area of the can, which is approximately 251.33 square centimeters.
The area between the bases of the can is the lateral surface area of the can, which can be calculated using the formula:
Lateral surface area = 2 x π x r x h
where π is the mathematical constant pi (approximately 3.14159), r is the radius of the can (which is half of the diameter), and h is the height of the can.
In this case, the height of the can is given as 9.4 centimeters, and the diameter (and hence the radius) is given as 8.5/2 = 4.25 centimeters.
Plugging in these values, we get:
Lateral surface area = 2 x π x 4.25 cm x 9.4 cm
= 251.327 square centimeters
Therefore, the dimension available for the design is the lateral surface area of the can, which is approximately 251.33 square centimeters.
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a construction worker is using the coordinate grid to show the length of the wall inside a house one end of the wall will be at 5,6 the wall will be 4 units long which point could be the location of the other end of the wall.
The point that could be the location of the other end of the wall will be (0, 5).
How to explain the pointBy using one or more elements or coordinates, a reference frame can properly pinpoint location alongside other mathematical components on such space, including Euclidean space.
A point or object in a two-dimensional plane can be found by utilizing its coordinates, which appear to be sets of integers. The y and x vectors can be used to identify the position of a point on a double surface. a group of photos used to identify certain areas.
In conclusion, the point that could be the location of the other end of the wall will be (0, 5).
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3. Convert the given Infix expression "A+B* C + D" to Postfix expression using Stack. (2 marks)
The postfix expression for the given infix expression is "A B C * + D +".
To convert the infix expression "A+B*C+D" to postfix expression using a stack, we can follow these steps:
Create an empty stack and an empty output queue.
Process each symbol in the infix expression from left to right.
If the symbol is an operand (e.g. A, B, C, D), add it to the output queue.
If the symbol is an operator (e.g. +, *), then do the following:
a. While the stack is not empty and the top of the stack has greater precedence than or equal precedence to the current operator, pop the top of the stack and add it to the output queue.
b. Push the current operator onto the stack.
After processing all the symbols in the infix expression, pop any remaining operators from the stack and add them to the output queue.
Using this algorithm, we can convert the infix expression "A+B*C+D" to postfix expression as follows:
Symbol: A + B * C + D
Action: Push A Push + Push B Push * Push C Pop * Pop + Push D
Output: A B C * + D +
Therefore, the postfix expression for the given infix expression is "A B C * + D +".
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Help fast pls Geometry
Answer:
64.141 cm ^2
Step-by-step explanation:
Formula for solving this is Pi(7^2) (170/360)
170 being the angle in degrees.
PLEASE HELP ME TO SOLVE THIS QUESTION
3.Xavier's salary increases by 2% each year.
In 2010 , his salary was £40,100
i) Calculate his salary in 2015 and give your answer to the nearest pound.
ii) In which year did Xavier's salary first greater than £47,500
i) Based on exponential growth, Xavier's salary in 2015 is £44,274.
ii) The year that Xavier's salary first became greater than £47,500 would be 2019.
What is exponential function?Exponential functions show the relationship between two variables and a variable exponent with a periodic constant rate of growth or decay in the value of something
Annual increase in Xavier's salary = 2% or 0.02
Xavier's salary in 2010 = £40,100
The number of years between 2015 and 2010 = 5 years
Exponential Function:i) y = £40,100(1.02)^5
= £44,273.64
= £44,274
ii) £47,500 = £40,100(1.02)^t
t = 9 years
= 2019 (2010 + 9)
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Pleas help me I will give 50
Answer:
Stem | Leaf
1| 9
2| 5 9
3| 0 3 3 8
4| 0 7 9
5| 4 5
6| 1 5
7| 2 7
8| 1
Step-by-step explanation:
Minimum: 19
Maximum: 81
Range: 62
Count: 17
Sum: 808
Mean: 47.53
Median: 47
Mode: 33
Standard Deviation: 18.9
Variance: 357.3
Pete, the skateboarding penguin, practices on a ramp in the shape of a right triangular prism
as shown below.
I need help ASAP!!! please
Of course! I'm here to help. Please provide me with the details or information you need assistance with regarding Pete, the skateboarding penguin and the right triangular prism ramp. I'll do my best to provide you with prompt and accurate help.
Suppose the trip take 3 hours and 15 minutes of driving time for the 124-mile round trip. What is the average speed of the buses in miles per hour?
The average speed of the buses is approximately 19.08 miles per hour.
We have,
If the trip takes 3 hours and 15 minutes of driving time, that's a total of 3.25 hours.
The distance traveled is 124 miles round trip, so the distance traveled in one direction is half of that or 62 miles.
To find the average speed of the buses in miles per hour, we can use the formula:
average speed = distance/time
where distance is in miles and time is in hours.
So, the average speed of the buses in miles per hour is:
Average speed
= 62 miles / 3.25 hours
= 19.0769 miles per hour (rounded to 4 decimal places)
Therefore,
The average speed of the buses is approximately 19.08 miles per hour.
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The president of Doerman Distributors, Inc., believes that 27% of the firm's orders come from first-time cu:
sample of 100 orders will be used to estimate the proportion of first-time customers. Use z-table.
0.30. What is the sampling distribution of p for this study?
a. Assume that the president is correct and p
=
Hint(s) Che
A normal distribution because np and n(1-p) are both greater than 5 v
b. What is the probability that the sample proportion will be between 0.20 and 0.40 (to 4 decimals)?
c. What is the probability that the sample proportion will be between 0.25 and 0.35 (to 4 decimals)?
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Partially Correct
The president of Doerman Distributors, Inc., believes that 27% of the firm's orders come from first-time cu:
sample of 100 orders will be used to estimate the proportion of first-time customers. Use z-table.
0.30. What is the sampling distribution of p for this study?
a. Assume that the president is correct and p
=
Hint(s) Che
A normal distribution because np and n(1-p) are both greater than 5 v
b. What is the probability that the sample proportion will be between 0.20 and 0.40 (to 4 decimals)?
c. What is the probability that the sample proportion will be between 0.25 and 0.35 (to 4 decimals)?
Hide Feedback
Partially Correct
Answer:
Step-by-step explanation:
Please mark me the brainliest
a. Since the sample size is large enough (n=100) and the expected number of first-time customers (np=27) and the expected number of repeating customers (n(1-p)=73) are both greater than 5, we can assume that the sampling distribution of the sample proportion p is approximately normal with mean μ=p=0.27 and standard deviation σ=sqrt[p(1-p)/n]=sqrt[(0.27)(0.73)/100]=0.046.
b. To find the probability that the sample proportion will be between 0.20 and 0.40, we need to standardize the values using the formula z = (x - μ) / σ, where x is the sample proportion, μ is the population proportion, and σ is the standard deviation of the sampling distribution of p. Then we can use a standard normal distribution table (z-table) to find the corresponding probabilities.
z(0.20) = (0.20 - 0.27) / 0.046 = -1.52
z(0.40) = (0.40 - 0.27) / 0.046 = 2.83
Using the z-table, the probability of getting a z-score between -1.52 and 2.83 is approximately 0.9747. Therefore, the probability that the sample proportion will be between 0.20 and 0.40 is 0.9747 (to 4 decimals).
c. To find the probability that the sample proportion will be between 0.25 and 0.35, we can follow the same steps as in part b:
z(0.25) = (0.25 - 0.27) / 0.046 = -0.43
z(0.35) = (0.35 - 0.27) / 0.046 = 1.74
Using the z-table, the probability of getting a z-score between -0.43 and 1.74 is approximately 0.5267. Therefore, the probability that the sample proportion will be between 0.25 and 0.35 is 0.5267 (to 4 decimals).
please find M, ill give brainliest if youre correct
Answer: m∠1=76.5
Step-by-step explanation:
x+y/2
71+82/2
153/2
76.5
Hope this helps! :)
What is the equation of the following line written in general form (4,5) (1,2)
The equation of the line written in general form (4,5) (1,2) is y - x = 1.
The formula to find the line equation from two points is as follows -
(y - [tex] y_{1}[/tex])/(x - [tex] x_{1}[/tex]) = ([tex] y_{2}[/tex] - [tex] y_{1}[/tex])/([tex] x_{2}[/tex] - [tex] x_{1}[/tex]). In the formula, [tex] y_{1}[/tex] and [tex] y_{2}[/tex] are initial and final y-axis values and [tex] x_{1}[/tex] and [tex] x_{2}[/tex] are initial and final x-axis values.
Keep the values in formula to find the equation -
(y - 5)/(x - 4) = (2 - 5)/(1 - 4)
Simplifying the equation
(y - 5)/(x - 4) = -3/-3
Divide the values
(y - 5)/(x - 4) = 1
Rewriting the equation
(y - 5) = (x - 4)
Rearranging the equation
y - x = 5 - 4
y - x = 1
Hence, the equation of line is y - x = 1.
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b) Another larger triangle is made from smaller, similar triangles. The perimeter
of this larger triangle is 32 times larger than the perimeter of one of the smaller
triangles.
How many smaller triangles are used to form this larger triangle?
The number of smaller triangles used to fill the larger triangle is given as follows:
1024 triangles.
How to obtain the number of smaller triangles?The perimeter of the larger triangle is 32 times larger than the perimeter of one of the smaller triangles, which means that the ratio of the areas is given as follows:
32² = 1024.
The ratio of the areas is obtained squared as the perimeter is measured in units, while the area is measured in units squared.
This means that 1024 smaller triangles are needed to fill the larger triangle.
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Find the P-hate and E by using the given confidence
interval (0.444, 0.484)
p-hate=
E=
The true population proportion and the sample proportion, given the confidence level and sample size.
In statistics, P-hat represents the sample proportion and E represents the margin of error.
Given a confidence interval of (0.444, 0.484), we can find P-hat and E as follows:
P-hat = (lower limit + upper limit) / 2
P-hat = (0.444 + 0.484) / 2
P-hat = 0.464
Therefore, the sample proportion (P-hat) is 0.464.
To find E (the margin of error), we need to use the formula:
E = (upper limit - lower limit) / 2
E = (0.484 - 0.444) / 2
E = 0.02
Therefore, the margin of error (E) is 0.02.
Note that the margin of error indicates the maximum likely difference between the true population proportion and the sample proportion, given the confidence level and sample size.
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Help me pls. 20 points.
Answer: 2/3 or 12/18
Step-by-step explanation:
QW: Investing Funds
Name: Cissel Ibana.
Date: W1003
friends.
imagine you're buying a dozen donuts for you and your
Do you buy all 12 in the same flavor? Or would you buy a box that
has a variety of flavors? Why?
the
Explain using 2-3 complete sentences why you feel this way.
Clavi
1. Dan has £6,000 in his bank account. His bank account pays compound interest at
a rate of 4% per year. How much will Dan have after 3 years?
NS
At the end of three years, Daniel would have saved $6749.
What is the compound interest?When interest is calculated on a principal amount of money using the compound interest method, the interest gained is periodically added back to the principal and interest is then calculated on the new principal amount.
We know that;
A = P(1 + r/n)^nt
A =amount
r = rate
P = principal
n = Number of times compounded
t = time
Thus;
A = 6000(1 + 0.04)^3
A = $6749
Thus the compound amount saved is $6749
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T/FThe area of descriptive statistics was developed to provide further detail to statisticians about population inferences.
Descriptive statistics is a branch of statistics that deals with the collection, analysis, interpretation, and presentation of data. It focuses on summarizing and describing the characteristics of a sample or population. The purpose of descriptive statistics is to provide a clear and concise summary of the data, including measures of central tendency, variability, and distribution.
True,This information can be used to make inferences about the population as a whole. Therefore, descriptive statistics helps statisticians to better understand and interpret the population data.
False, Descriptive statistics is a branch of statistics that focuses on summarizing and organizing data from a sample or population. It provides insights into the basic features of the data, such as the mean, median, and standard deviation, but does not make inferences about the population.
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The table shows the average aduat weight and average life expectancy for 12 dog breeds a. Pint the data as ordered pairs. Describe the shape of the data. Show your work. Average Weight Life Expectancy 125 57. 5 62. 5 49 12 16 12. 3 12 11
The scatter plot shows that there is no strong correlation between average weight and life expectancy for the 12 dog breeds. The coefficient of correlation for this adult weight data to be -0.123, which is very near to 0.
The adult weight of a person can vary greatly depending on several factors, including genetics, age, gender, height, muscle mass, and overall health. However, a healthy weight range for adults is typically determined by body mass index (BMI), which is calculated by dividing weight in kilograms by height in meters squared.
We can use the average weight as the x-value and the average life expectancy as the y-value to represent the data as ordered pairs. Following are the ordered pairs for the provided data:
(125, 57.5)
(62.5, 49)
(12, 16)
(12.3, 12)
(11, 11)
We may plot these ordered pairs on a scatter plot to show the form of the data. As for the story:
We can observe from the scatter plot that there is no obvious pattern formed by the data points. There is no discernible pattern or connection between the two variables, and the spots are dispersed throughout the plot. As a result, the data's shape can be described as random or dispersed.
We can calculate the correlation coefficient to provide more evidence for this. The variables do not have a linear relationship if the correlation coefficient is close to zero. we can calculate the coefficient of correlation for this data to be -0.123, which is very near to 0.
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