Answer:
the answer is 55038271829339
The opposite angles equal each other, so X and Z are equal
using that we solve for x by setting them equal:
6x-60 = 2x+68
subtract 2x from each side:
4x -60 = 68
add 60 to each side:
4x = 128
divide both sides by 4
x = 128/4
x = 32
now we know x so we can solve everything else by replacing x with 32
WY = 3x+5 = 3(32)+5 = 96+5 = 101
angle Z = 2x+68 = 2(32)+68 = 64+132
the answer is C
660 would be the nearest ten. you round up because the final number is with 5 or greater. if the final number was 4 or less, you would round down. I hope this helped you
Answer:
The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).
Step-by-step explanation:
The formula for estimating the population proportion by a confidence interval is given by:
![\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Cpm%20z_%7B%5Calpha%20%2F2%7D%5Ctimes%5Csqrt%7B%5Cfrac%7B%5Chat%7Bp%7D%5Ctimes%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D)
Where:
is the sample's proportion of success, which in this case is the people that regularly lie during surveys,
is the critical value needed to find the tails of distribution related to the confidence level,
is the sample's size.
<u>First</u> we compute the
value:
![\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cfrac%7Bsuccesses%7D%7Bn%7D%3D%5Cfrac%7B98%7D%7B603%7D%3D0.1625)
<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):
![z_{\alpha /2}=2.576](https://tex.z-dn.net/?f=z_%7B%5Calpha%20%2F2%7D%3D2.576)
Now we can replace in the formula with the obtained values to compute the confidence interval:
![\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Cpm%20z_%7B%5Calpha%20%2F2%7D%5Ctimes%5Csqrt%7B%5Cfrac%7B%5Chat%7Bp%7D%5Ctimes%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D%3D0.1625%5Cpm%202.576%5Ctimes%5Csqrt%7B%5Cfrac%7B0.1625%5Ctimes%281-0.1625%29%7D%7B603%7D%7D%3D%280.1238%2C%200.2012%29)
6 1/8 - (3 3/8 + 2 1/8) =
6 1/8 - (5 4/8) =
5 9/8 - 5 4/8 =
5/8 yds <===