Step-by-step explanation:
sin 46°= a/12.8
a = sin46° * 12.8 = 9.20
cos59°=b/16.8
b = cos59°*16.8 = 8.65
Answer:
We are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%
Step-by-step explanation:
-From the given information,
.
-We calculate the confidence interval using this value at 95% confidence level:
![CI=\hat p\pm z \sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\\\=0.65\pm 1.96\times \sqrt{\frac{0.65\times 0.35}{12000}}\\\\\\=0.65\pm 0.0085\\\\\\=[0.6415,0.6585]](https://tex.z-dn.net/?f=CI%3D%5Chat%20p%5Cpm%20z%20%5Csqrt%7B%5Cfrac%7B%5Chat%20p%281-%5Chat%20p%29%7D%7Bn%7D%7D%5C%5C%5C%5C%5C%5C%3D0.65%5Cpm%201.96%5Ctimes%20%5Csqrt%7B%5Cfrac%7B0.65%5Ctimes%200.35%7D%7B12000%7D%7D%5C%5C%5C%5C%5C%5C%3D0.65%5Cpm%200.0085%5C%5C%5C%5C%5C%5C%3D%5B0.6415%2C0.6585%5D)
So, the 95% confidence interval is (0.6515,0.6585).
Hence, we are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%.
The answer to your question is 30
Answer:
(a) The probability of the intersection of events "man" and "yes" is 0.55.
(b) The probability of the intersection of events "no" and "man" is 0.10.
(c) The probability of the union of events "woman" or "no" is 0.45.
Step-by-step explanation:
The information provided is:
Yes No Total
Men 275 50 325
Women 150 25 175
Total 425 75 500
(a)
Compute the probability that a randomly selected employee is a man and a has retirement benefits as follows:

Thus, the probability of the intersection of events "man" and "yes" is 0.55.
(b)
Compute the probability that a randomly selected employee does not have retirement benefits and is a man as follows:

Thus, the probability of the intersection of events "no" and "man" is 0.10.
(c)
Compute the probability that a randomly selected employee is a woman or has no retirement benefits as follows:

Thus, the probability of the union of events "woman" or "no" is 0.45.
Answer:
C :) hope it helps
Step-by-step explanation: