The first equation is given to determine A.
cos A = 2/5
A = cos⁻¹(2/5) = 66.42°
Now that we know A, we use this value to the second equation.
4 + 4tan²A = 4 +24.996 4tan²(66.42°) = 24.996 ≈ <em>25</em>
The mean is 6 because you have to add all the numbers and divide by 5
It will take him around 56 months to finish off his payment if he puts a down payment of 4,000 and pays $680 a month
In 12 months he pays $113.35 per month plus the $70
Answer:
Correct option is (c). 1.873.
Step-by-step explanation:
The hypothesis can be defined as:
<em>H</em>₀: There is no difference between the two proportions.
<em>H</em>ₐ: There is a difference between the two proportions.
Given:

The sample proportion of youthful gamers who tried the new Z-Box-Plus game and rated it "excellent," is:

The sample proportion of adult gamers who tried the new Z-Box-Plus game and rated it "excellent," is:

The population proportion of gamers who rated the game as "excellent" is:

The test statistic is:
![z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{P(1-P)[\frac{1}{n_{1}}+\frac{1}{n_{2}} ]} } =\frac{0.80-0.72}{\sqrt{0.76(1-0.76)[\frac{1}{200}+\frac{1}{200} ]} }=1.873](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B%5Chat%20p_%7B1%7D-%5Chat%20p_%7B2%7D%7D%7B%5Csqrt%7BP%281-P%29%5B%5Cfrac%7B1%7D%7Bn_%7B1%7D%7D%2B%5Cfrac%7B1%7D%7Bn_%7B2%7D%7D%20%5D%7D%20%7D%20%3D%5Cfrac%7B0.80-0.72%7D%7B%5Csqrt%7B0.76%281-0.76%29%5B%5Cfrac%7B1%7D%7B200%7D%2B%5Cfrac%7B1%7D%7B200%7D%20%5D%7D%20%7D%3D1.873)
Thus, the value of the test statistic is 1.873.
The correct option is (c).