x + y = 53
x -y = 9 Adding both equations
2x = 62
x = 31 y = 22
Answer:
The degrees of freedom are given by:
The significance level is 
and then the critical value can be founded in th chi square table we need a quantile that accumulates 0.05 of the area in the right tail of the distribution and for this case is:
And if the chi square statistic is higher than the critical value we can reject the null hypothesis in favor of the alternative.
Step-by-step explanation:
We have the followign system of hypothesis:
Null hypothesis: 
Alternative hypothesis: 
The degrees of freedom are given by:
The significance level is and then the critical value can be founded in th chi square table we need a quantile that accumulates 0.05 of the area in the right tail of the distribution and for this case is:
And if the chi square statistic is higher than the critical value we can reject the null hypothesis in favor of the alternative.
Answer:
Look at explanation.
Step-by-step explanation:
<em><u>Dilation of scale factor of 5, because it would become more wide and open by a factor of 5. Reflection over y-axis, because it makes the shape double the size. Dilation of scale factor of 1/2, because it makes the shape half it's size.</u></em> The rotating 90 degrees would only change the shapes position, not the size. The translation would only move the shape to a different area, and not change the size.
All 3 sides of an equilateral triangle are the same.
Set up an equation with two sides equaling each other and solve for n:
2n +15/4 = 7n
Subtract 2n from both sides:
15/4 = 5n
Divide both sides by 5:
n = (15/4) / 5
n = 3/4
Now you have a value for n, replace n and solve for the length:
7n = 7(3/4) = 21/4 = 5 1/4
Each side is 5 1/4
