Answer:
2
Step-by-step explanation:
mark brainliest or green alien will find you
Answer:
the answer is 4
Step-by-step explanation:
Answer:
5X + 8Y >= 300; intersection at (-20, 50)
Step-by-step explanation:
let t = work hours
0 < t < 30
X = time lawn mowing
Y = time babysitting.
X + Y < 30
5X + 8Y >= 300
We could solve...
X < 30 - Y
5(30 - Y) + 8Y >=300
150 - 5Y + 8Y >= 300
3Y >=150
Y >=50
then X < -20
intersection at (-20, 50)
<u>Explanation:</u>
"4 times as many" means that Beth has 4n more quarters than Michael. When we are comparing Beth and Michael, we obtain the equation "B = 4n", where B is the number of quarters Beth has and m is the number of quarters Michael has. Let's find out how many quarters Michael has.
<u>We know that:</u>
<u>Solution:</u>
- B = 4n
- => 16 = 4n
- => n = 16/4
- => n = 4
Hence, Michael has 4 quarters.
Using the z-distribution, as we are working with a proportion, it is found that the test statistic for their significance test is given by: z = 2.
<h3>What are the hypothesis tested?</h3>
As stated in the problem, they are:
![H_0: p = 0.9](https://tex.z-dn.net/?f=H_0%3A%20p%20%3D%200.9)
![H_1 = p > 0.9](https://tex.z-dn.net/?f=H_1%20%3D%20p%20%3E%200.9)
<h3>What is the test statistic?</h3>
It is given by:
![z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%5Coverline%7Bp%7D%20-%20p%7D%7B%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D)
In which:
is the sample proportion.
- p is the proportion tested at the null hypothesis.
In this problem, we have that;
![n = 100, \overline{p} = \frac{96}{100} = 0.96, p = 0.9](https://tex.z-dn.net/?f=n%20%3D%20100%2C%20%5Coverline%7Bp%7D%20%3D%20%5Cfrac%7B96%7D%7B100%7D%20%3D%200.96%2C%20p%20%3D%200.9)
Hence:
![z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%5Coverline%7Bp%7D%20-%20p%7D%7B%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D)
![z = \frac{0.96 - 0.9}{\sqrt{\frac{0.9(0.1)}{100}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B0.96%20-%200.9%7D%7B%5Csqrt%7B%5Cfrac%7B0.9%280.1%29%7D%7B100%7D%7D%7D)
![z = 2](https://tex.z-dn.net/?f=z%20%3D%202)
The test statistic for their significance test is given by: z = 2.
More can be learned about the z-distribution at brainly.com/question/16313918