AC is the adjacent leg to angle A, so use cosine to find out AC
cosA=AC/AB
AC=AB*cosA
AC=14*cos33
use your calculator to find AC≈11.7
how to use the scale factor to 56
% is 1/100 part of whole
so 1% is 200/100=2
and 8% is 2*8=16
or
200/100*8=2*8=16
or
200*0.8=16
Answer: 16
Answer:
x=7
Step-by-step explanation:
This problem uses vertical angles! I'm sure you know this but just in case I will explain. Whenever there are two angles that are across from each other in a junction of two straight lines, they are perfectly equal! In this problem, the angles 6x-7 and 4x+7 are the same angle, so those equations have to have the same answer. In order to solve it, you need to write the equations like this:
6x-7=4x+7
From there you can solve for x. I will write my process here:
2x-7=7
2x=14
x=7
Just writing those vertical angle equations as equalities of each other should give you the answers you are looking for!
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).
