Answer:
{x,y} = {5,6}
Step-by-step explanation:
// Solve equation [1] for the variable x
[1] x = y - 1
// Plug this in for variable x in equation [2]
[2] 2•(y -1) - y = 4
[2] y = 6
// Solve equation [2] for the variable y
[2] y = 6
// By now we know this much :
x = y-1
y = 6
// Use the y value to solve for x
x = (6)-1 = 5
Answer:
Step-by-step explanation:
Given that a professor sets a standard examination at the end of each semester for all sections of a course. The variance of the scores on this test is typically very close to 300.
(Two tailed test for variance )
Sample variance =480
We can use chi square test for testing of hypothesis
Test statistic = 
p value = 0.0100
Since p <0.05 our significance level, we reject H0.
The sample variance cannot be claimed as equal to 300.
The perimeter of a rectangle:P = 2 L + 2 W
L ( length ) = 5.50 mW ( width ) = 12.0 mP = 2 * 5.50 + 2 * 12.0 = 11 + 24 = 35 mThe area of a rectangle:A = L x W
A = 5.50 * 12.0 = 66 m²Answer: 35, 66
Answer:
3
Step-by-step explanation:
<u>1) Find two corresponding lengths between the image and the pre-image</u>
Pre-image (bottom side) = 3 units
Image (bottom side) = 9 units
We can use any corresponding lengths for this step.
<u>2) Divide the length of the side from the image by the length of the side from the pre-image</u>
9 units ÷ 3 units
= 3
Therefore, the scale factor of the dilation is 3.
I hope this helps!
Answer:
The value of k is -2
Step-by-step explanation:
The cut point with the y axis for both graphs occurs when x = 0
We then have:
For f (x):
The cut point for the y axis is:
For g (x):
The cut point with the y axis is:
The value of k is given by the vertical displacement of graph k units.
We then have:
Let's clear k:
I know that this is not the answer you are looking for but maybe you can use the step-by-step explanation to figure it out
