Answer:
It's 5/4 because you go by x first
Volume of a cylinder = π r² h
Let us assume the following values:
radius = 9
height = 10
Volume = 3.14 * 9² * 10
= 3.14 * 81 *10
Volume = 2,543.40
Changes:
radius is reduced to 2/9 of its original size = 9 x 2/9 = 2
height is quadrupled = 10 x 4 = 40
Volume = π r² h
= 3.14 * 2² * 40
= 3.14 * 4 * 40
Volume = 502.40
Original volume = 2543.40 V.S. Volume after change = 502.40
The volume of an oblique cylinder decreased when its radius was decreased to 2/9 of its original size and its height is increased 4 times.
Answer:
The test statistic is ![z = 1.25](https://tex.z-dn.net/?f=z%20%3D%201.25)
Step-by-step explanation:
We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%.
At the null hypothesis, we test if the proportion is 80%, that is:
![H_0: p = 0.8](https://tex.z-dn.net/?f=H_0%3A%20p%20%3D%200.8)
At the alternate hypothesis, we test if the proportion is more than 80%, that is:
![H_a: p > 0.8](https://tex.z-dn.net/?f=H_a%3A%20p%20%3E%200.8)
The test statistic is:
![z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
80% is tested at the null hypothesis:
This means that ![\mu = 0.8, \sigma = \sqrt{0.2*0.8} = 0.4](https://tex.z-dn.net/?f=%5Cmu%20%3D%200.8%2C%20%5Csigma%20%3D%20%5Csqrt%7B0.2%2A0.8%7D%20%3D%200.4)
A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam.
This means that ![n = 100, X = \frac{85}{100} = 0.85](https://tex.z-dn.net/?f=n%20%3D%20100%2C%20X%20%3D%20%5Cfrac%7B85%7D%7B100%7D%20%3D%200.85)
The test statistic is
![z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![z = \frac{0.85 - 0.8}{\frac{0.4}{\sqrt{10}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B0.85%20-%200.8%7D%7B%5Cfrac%7B0.4%7D%7B%5Csqrt%7B10%7D%7D%7D)
![z = 1.25](https://tex.z-dn.net/?f=z%20%3D%201.25)
The test statistic is ![z = 1.25](https://tex.z-dn.net/?f=z%20%3D%201.25)
I think it would be 37 hope this helps:)
Answer:
21
Step-by-step explanation:
because you divide 9 byy 3 and you get 3 so then you do 7 x 3 7x3 is 21