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sveta [45]
3 years ago
5

$11.13-$5.50-$6.12=$10.51; $30- $10.51

Mathematics
1 answer:
MrMuchimi3 years ago
3 0
What is the problem?? I would love to help
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Answer : 15 gallon per minute
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Find a function ω(x) such that the function f(x) = sin(ω(x)) has the roots at π, π2
atroni [7]

So, I came up with something like this. I didn't find the final equation algebraically, but simply "figured it out". And I'm not sure how much "correct" this solution is, but it seems to work.

f(x)=\sin(\omega(x))\\\\f(\pi^n)=\sin(\omega(\pi^n))=0, n\in\mathbb{N}\\\\\\\sin x=0 \implies x=k\pi,k\in\mathbb{Z}\\\Downarrow\\\omega(\pi^n)=k\pi\\\\\boxed{\omega(x)=k\sqrt[\log_{\pi} x]{x},k\in\mathbb{Z}}

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B4%7D%20%20%5Ctimes%20x%20%5Ctimes%20%28%20%5Cfrac%7B3%7D%7B%20%7Bx%7D%5E%7B2%7
Artist 52 [7]

Answer:

the solution for x²+2x+8<0

4 0
2 years ago
The Wall Street Journal recently ran an article indicating differences in perception of sexual harassment on the job between men
Komok [63]

Answer:

Critical value: b. 2.33

As the test statistic z=7.17 is greater than the critical value, it falls in the rejection region.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of women who think sexual harassment is a major problem in the American workplace is significantly higher than the proportion of men.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of women who think sexual harassment is a major problem in the American workplace is significantly higher than the proportion of men.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0

The significance level is 0.01.

The sample 1 (women), of size n1=150 has a proportion of p1=0.62.

The sample 2 (men), of size n2=200 has a proportion of p2=0.24.

 

The difference between proportions is (p1-p2)=0.38.

p_d=p_1-p_2=0.62-0.24=0.38

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{93+48}{150+200}=\dfrac{141}{350}=0.403

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.403*0.597}{150}+\dfrac{0.403*0.597}{200}}\\\\\\s_{p1-p2}=\sqrt{0.001604+0.001203}=\sqrt{0.002807}=0.053

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.38-0}{0.053}=\dfrac{0.38}{0.053}=7.17

The critical value for a right-tailed test with a signficance level of 0.01 is zc=2.33 (see picture attached).

As the test statistic z=7.17 is greater than the critical value, it falls in the rejection region.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of women who think sexual harassment is a major problem in the American workplace is significantly higher than the proportion of men.

6 0
3 years ago
Michaela created a model of a city park. For the model, 1 inch represents 5
postnew [5]

Answer:

400

Step-by-step explanation:

5 0
3 years ago
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