<h3>#29</h3>
<u>Find the value of x:</u>
- 7x - 2 = 55 + 4x (as corresponding angles)
- 7x - 4x = 55 + 3
- 3x = 57
- x = 19
<u>Find the value of y:</u>
- y = 7x - 2 (as alternate exterior angles)
- y = 7*19 - 2
- y = 131
<h3>#30</h3>
<u>Find the value of x:</u>
- 14x - 34 = 9x + 1 (as alternate interior angles)
- 14x - 9x = 1 + 34
- 5x = 35
- x = 7
<u>Find the value of y:</u>
- y + (9x + 1) = 90 (as complementary angles)
- y = 90 - 9*7 - 1
- y = 26
The answer is D just trust me lol
Given:
n = 150, sample size
Denote the sample proportion by q (normally written as

).
That is,
q = 60/150 = 0.4, sample proportion.
At the 96% confidence level, the z* multiplier is about 2.082, and the confidence interval for the population proportion is
![q \pm z^{*}[ \frac{q(1-q)}{ \sqrt{n} } ]](https://tex.z-dn.net/?f=q%20%5Cpm%20z%5E%7B%2A%7D%5B%20%5Cfrac%7Bq%281-q%29%7D%7B%20%5Csqrt%7Bn%7D%20%7D%20%5D)
That is,
0.4 +/- 2.082* √[(0.4*0.6)/150]
= 0.4 +/- 0.0833
= (0.3167, 0.4833)
= (31.7%, 48.3%)
Answer: The 96% confidence interval is about (32% to 48%)
You did the equation a little wrong. It is A^2 + B^2 = 10^2
Answer:
12.7342
Step-by-step explanation:
V=360
d=6
r=1/2*d=3
r^2=9
360/pi=114.592
114.592/9=12.7342