What is the length of a diagonal of a rectangle that is 30 centimeters long and 16 cm. wide?

Answers

Answer 1

Answer: length squared + width squared = Diagonal squared
Length squared = 900cm
Width squared = 256cm
total = 1156
Therefore Diagonal squared = 1156
Diagonal = 34cm

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Which of the following are characteristics of the correlation coefficient? Check all that apply.

A. It must be between -1 and 1.
B. It must be positive.
C. It indicates the percentage of points that lie on the regression line.
D. The correlation coefficient tells you how strong the residuals are.
E. If correlation is positive, the slope of the regression line is also positive

Answers

This is about knowledge between Correlation and Regression.

Option A and E are correct.

Correlation Coefficient is the statistical relationship that exists between two variables. Let us look at the options;

Option A; Under different types of correlation coefficient they tend to make use of different range for their definitions but it is always between minimum of -1 and maximum of 1. Thus, the statement is correct.

Option B; It must not be positive because as stated in option A above negative values can be used.

Option C; No, it doesn't indicate percentage of points because in the definition i gave earlier, there is nothing like that. Besides, this is in regression and not correlation.

Option D; This is incorrect as the definition doesn't support it.

Option E; This is correct because positive correlation means that the two variables increase at the same time or decrease at the same time. Thus, it means the regression line will be positive as long as correlation is positive.

Read more at; brainly.com/question/10502086

A. It must be between -1 and 1
E. If correlation is positive, the slope of the regression line is also positive.

Solve. -1/8c=2
a. 4
b. –16
c. –4
d. 16

Answers

$(-1)/(8c) =2$
This requires that c ≠ 0 , meaning c≠0
$(-1)/(8c) =2$
Multiply by x to eliminate var in denominator
$( \not c*(-1))/( 8 \not c) =c*2$
$(-1)/(8) =c*2$
Common denominator is 8
$(\not 8(-1))/(\not 8) =8c*2$
$-1=8c*2$
$-1=16c$
$x=-16$
The answer is: b. -16

Five more than seven times a number is ninety-six. What is the number?Type an equation and solve

Answers

Answer: the answer to this problem is 13!

Step-by-step explanation: To solve this problem, we must work backward. So the last step we did in this problem was adding five to the number, so to work backward we must subtract 5 from 96 to get 91. Now then the last step was to multiply by seven and since we are working backward, we must divide by seven to get our original number 13.

This is the equation: (13*7)+5

Hope this helped :)

A recent survey of 8,000 high school students found that the mean price of a prom dress was $195.00 with a standard deviation of $12.00. Alyssa thinks that her school is more fashion conscious and spent more than $195.00. She collected data from 20 people in her high school and found that the average price spent on a prom dress was $208.00. Which of the following is the correct z-statistic for this situation?

Answers

The z-statistic can be calculated as the difference in the population mean and sample mean divided by the standard error. The standard error can be calculated as the standard deviation divided by square root of sample size. The standard error: SE = 12/ sqrt(20) = 2.68 The z-statistic: (195 -208) 2.68 = -4.86

Answer:

4.84

Step-by-step explanation:

got it right on edge2020

a figure has reflected symmetry across line a. line a passes through the figure. which statement is not true about the figure.

Answers

Answer:

hard stuff i can't answer

AnswerAnswerAnswerAnswerAnswerAnswer

5. Assuming that a is not equal to c, find the x-value of the intersection point of the lines y = ax +b and y = cx + d.

Answers

The x-value of the intersection point of the lines is ( d - b)/(a-c)

Intersection of lines

Given the equation of a line expressed as;

y = ax +b and;

y = cx + d.

Equating both lines, we will have:

ax + b = cx + d

Make x the subject of the formula:

ax - cx = d = b

x (a-c) = d - b

x = ( d - b)/(a-c)

Hence the x-value of the intersection point of the lines is ( d - b)/(a-c)

Learn more on intersecting lines here: brainly.com/question/2065148

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Find the geometric mean of 5 and 125.