<h3>
Answer: 0.069</h3>
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Work Shown:
p = 0.62 = given population proportion
n = 50 = given sample size
= standard deviation of the sample proportions ![\hat{p}](https://tex.z-dn.net/?f=%5Chat%7Bp%7D)
= standard error of ![\hat{p}](https://tex.z-dn.net/?f=%5Chat%7Bp%7D)
![\sigma_{\hat{p}} = \sqrt{\frac{p(1-p)}{n}}\\\\\sigma_{\hat{p}} = \sqrt{\frac{0.62(1-0.62)}{50}}\\\\\sigma_{\hat{p}} = \sqrt{\frac{0.62*0.38}{50}}\\\\\sigma_{\hat{p}} = \sqrt{\frac{0.2356}{50}}\\\\\sigma_{\hat{p}} = \sqrt{0.004712}\\\\\sigma_{\hat{p}} \approx 0.06864400920692\\\\\sigma_{\hat{p}} \approx 0.069\\\\](https://tex.z-dn.net/?f=%5Csigma_%7B%5Chat%7Bp%7D%7D%20%3D%20%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%5C%5C%5C%5C%5Csigma_%7B%5Chat%7Bp%7D%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B0.62%281-0.62%29%7D%7B50%7D%7D%5C%5C%5C%5C%5Csigma_%7B%5Chat%7Bp%7D%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B0.62%2A0.38%7D%7B50%7D%7D%5C%5C%5C%5C%5Csigma_%7B%5Chat%7Bp%7D%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B0.2356%7D%7B50%7D%7D%5C%5C%5C%5C%5Csigma_%7B%5Chat%7Bp%7D%7D%20%3D%20%5Csqrt%7B0.004712%7D%5C%5C%5C%5C%5Csigma_%7B%5Chat%7Bp%7D%7D%20%5Capprox%200.06864400920692%5C%5C%5C%5C%5Csigma_%7B%5Chat%7Bp%7D%7D%20%5Capprox%200.069%5C%5C%5C%5C)
This value tells us how spread out the distribution of sample proportions
will be.
Note that "Complement" = 90°, and "Supplementary" = 180°
Let the complement angle of 32 be x
x + 32 = 90
Isolate the x. Subtract 32 from both sides
x + 32 (-32) = 90 (-32)
x = 90 - 32
x = 58
D. 58° is your complement.
hope this helps
Answer:
y = -5 10/11
Step-by-step explanation:
12(5+2y)=4y-(5-9y)
Distribute
12*5 +12*2y = 4y - 5 +9y
60 +24y = 4y - 5 +9y
Combine like terms
60+24y =13y -5
Subtract 13 y from each side
60 +24y-13y=13y-13y -5
60+11y = -5
Subtract 60 from each side
60+11y-60 =-5 -60
11y = -65
Divide by 11
11y/11 = -65/11
y =-65/11
Change to a mixed number
11 goes into 65 5 times (5*11=55) with 10 left over
y = -5 10/11
The answer to this question b x^7