Answer:
<h2>C. The hypotenuse is √2 times long as either leg.</h2>
Step-by-step explanation:
Look at the picture.
#7:
It means to solve for y.
#8:
We can write:
l = w + 2
Because it says the length is 2 more than the width.
5/9.....real number....rational number
use sin^2(x) =1/2 * (1-cos2x)
cos 2x - use def cosx from table
f(x)=sin^2(0)
f'(x)=2*sin(x)*cos(x)
therefore f'(x)=sin(2x)
f''(x)=2cos(2x)
f'''(x)=-4sin(2x)=-4*f'(x)
<span>putting it into maclaurin's series</span>
<span>We get,</span>
<span> 0+0+ 2x^2/2! + 0...</span>
Answer:
(0.4578 , 0.5318)
Step-by-step explanation:
The attached figure shows the formula for calculating confidence intervals for the difference of proportions in large samples.
Let's call
= proportion of married couples, in the first sample, who had two or more personality preferences in common.
= 197/347 = 0.5677
= size of the first random sample
= proportion of married couples, in the second sample, who had no preferences in common.
= 39/535 = 0.0729
= size of the second random sample = 535
= confidence%.
= 80%
Looking in the normal standard table, we have that = 1.28.
Substituting this values in the formula we have:
Then the confidence interval for p1-p2 is: (0.4578 , 0.5318)