There are 3/2 cups in one bottle. multiply that by 5 to get 15/2, or 7 and 1/2
Answer:
Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance
null hypothesis is accepted
There is no difference proportion of positive tests among men is different from the proportion of positive tests among women
Step-by-step explanation:
<em>Step(I)</em>:-
Given surveyed two random samples of 390 men and 360 women who were tested
first sample proportion
![p_{1} = \frac{360}{390} = 0.9230](https://tex.z-dn.net/?f=p_%7B1%7D%20%3D%20%5Cfrac%7B360%7D%7B390%7D%20%3D%200.9230)
second sample proportion
![p_{2} = \frac{47}{52} = 0.9038](https://tex.z-dn.net/?f=p_%7B2%7D%20%3D%20%5Cfrac%7B47%7D%7B52%7D%20%3D%200.9038)
Step(ii):-
Null hypothesis : H₀ : There is no difference proportion of positive tests among men is different from the proportion of positive tests among women
Alternative Hypothesis:-
There is difference between proportion of positive tests among men is different from the proportion of positive tests among women
![Z = \frac{p_{1}- p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } } }](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7Bp_%7B1%7D-%20p_%7B2%7D%20%7D%7B%5Csqrt%7BPQ%28%5Cfrac%7B1%7D%7Bn_%7B1%7D%20%7D%2B%5Cfrac%7B1%7D%7Bn_%7B2%7D%20%7D%20%20%7D%20%7D)
where
![P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1}+n_{2} }](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7Bn_%7B1%7Dp_%7B1%7D%20%2Bn_%7B2%7D%20%20p_%7B2%7D%20%7D%7Bn_%7B1%7D%2Bn_%7B2%7D%20%20%7D)
P = 0.920
![Z= \frac{0.9230-0.9038}{\sqrt{0.920 X0.08(\frac{1}{390}+\frac{1}{52} } )}](https://tex.z-dn.net/?f=Z%3D%20%5Cfrac%7B0.9230-0.9038%7D%7B%5Csqrt%7B0.920%20X0.08%28%5Cfrac%7B1%7D%7B390%7D%2B%5Cfrac%7B1%7D%7B52%7D%20%20%7D%20%29%7D)
Test statistic Z = 0.13008
Level of significance = 0.10
The critical value Z₀.₁₀ = 1.645
Test statistic Z=0.13008 < 1.645 at 0.1 level of significance
Null hypothesis is accepted
There is no difference proportion of positive tests among men is different from the proportion of positive tests among women
<h3>SOLUTION :- </h3>
The Angle 257° will lie in the <u>Quadrant </u><u>III </u><u>.</u>
<h3>STEP-BY-STEP EXPLANATION :- </h3>
We have been asked to find .
• In which quadrant does the terminal side of the angle 257° lie ?
- As we know that in the first quadrant angle is from 0 to 90 ° .
In the second quadrant angle is from 90 to 180°.
In the third quadrant angle is from 180 to 270° .
In the fourth quadrant angle is from 270 to 360° .
<h3>Hence,The Angle 257 will lie in the third Quadrant .....</h3>
<h2>Hope this helps !!</h2>
Answer:
B
Step-by-step explanation:
4(2x+y)
8x + 2y