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3 years ago

Is the following number rational or irrational? - 13/12 A: rational B: irrational

Mathematics

2 answers:

Kitty [74]3 years ago

4 0

Answer:

B. irrational

Step-by-step explanation:

-13/12 = −1.083333333

Novosadov [1.4K]3 years ago

3 0

B irrational beacause they don’t have equal factors

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Nicholas has a salt shaker in the shape of a cylinder. It has a radius of 8 mm and a height of 30 mm. What is the lateral surfac

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Answer:

1507.96

Step-by-step explanation:

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3 years ago

A cylindrical tank lying on its side is filled with liquid weighing 50lb/ft^3. Find the work required to pump all the liquid to

nikklg [1K]

You can use the fact that the work done is equivalent to finding the center of mass of the water in the tank(which is at the center of the cylindrical cross section, which is 3 ft below the level to which the liquid is pumped. Call this distance h.
You then need the total mass of the liquid, volume X density=m. This is where pi comes in!
Work needed =mgh, where g is the gravitational acceleration.

4 0

3 years ago

Please please please please help

Sidana [21]

Answer:

I guess its the first one

Step-by-step explanation:

I think they're asking which one doesn't look like a regular shape. Tbh I have no idea

7 0

3 years ago

Read 2 more answers

According to the U.S. Bureau of Labor Statistics, 20% of all people 16 years of age or older do volunteer work. In this age grou

Murljashka [212]

Answer:

1. P(X≥35) = 0.0183

2. P(X≤21) = 0.0183

3. P(0.18<p<0.25) = 0.7915

Step-by-step explanation:

We have the proportion for women: pw=0.22, and the proportion for men: pm=0.19.

1. We have a sample of 140 woman and we have to calculate the probability of getting 35 or more who do volunteer work.

This is equivalent to a proportion of

$p=X/n=35/140=0.25$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.22*0.78}{300}}\\\\\\ \sigma_p=\sqrt{0.0006}=0.0239$

We calculate the z-score as:

$z=\dfrac{p-p_w}{\sigma_p}=\dfrac{0.25-0.22}{0.0239}=\dfrac{0.03}{0.0239}=0.8198$

Then, the probability of having 35 women or more who do volunteer work in this sample of 140 women is:

$P(X>35)=P(p>0.25)=P(z>2.0906)=0.0183$

2. We have to calculate the probability of having 21 or fewer women in the group who do volunteer work.

The proportion is now:

$p=X/n=21/140=0.15$

We can calculate then the z-score as:

$z=\dfrac{p-p_w}{\sigma_p}=\dfrac{0.15-0.2}{0.0239}=\dfrac{-0.05}{0.0239}=-2.0906$

Then, the probability of having 21 women or less who do volunteer work in this sample of 140 women is:

$P(X$

3. For the sample with men and women, we use the proportion for both, which is π=0.2.

The sample size is n=300.

Then, the standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.2*0.8}{300}}\\\\\\ \sigma_p=\sqrt{0.0005}=0.0231$

We can calculate the z-scores for p1=0.18 and p2=0.25:

$z_1=\dfrac{p_1-\pi}{\sigma_p}=\dfrac{0.18-0.2}{0.0231}=\dfrac{-0.02}{0.0231}=-0.8660\\\\\\z_2=\dfrac{p_2-\pi}{\sigma_p}=\dfrac{0.25-0.2}{0.0231}=\dfrac{0.05}{0.0231}=2.1651$

We can now calculate the probabilty of having a proportion within 0.18 and 0.25 as:

$P=P(0.18$

5 0

4 years ago

Susan owes $15,000 in student loans. She pays $150 toward the debt every month. Represent the total amount that she owes as a fu

Sergio039 [100]

Answer:

f(x) = 15000 - 150x

Step-by-step explanation:

Given that:

Initial Amount owed = $15000

Amount payed towards debt per month = $150

Total amount owed as a function of month(x) after each payment :

F(x) = Initial amount owed - (amount paid per month * number of month)

Let number of month = x

f(x) = 15000 - 150x

Hence, the function ;

f(x) = 15000 - 150x represents the total amount owed after each payment.

8 0

3 years ago