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Sauron [17]
2 years ago
7

2. Mr. Lavi determined that the total cost of his son's birthday party, c, could be represented by

Mathematics
1 answer:
Tresset [83]2 years ago
4 0

Answer:

41 people attended the party

Step-by-step explanation:

1120 = 20x + 300

1120 - 300 = 20x

820 = 20x

x = 41

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Answer:

  12.9 square yards

Step-by-step explanation:

The base is an equilateral triangle, so we can assume that the three faces have the same dimensions. Each of those face triangles has an area of ...

  A = 1/2bh

  A = 1/2(3 yd)(2 yd) = 3 yd²

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2 years ago
A density curve of all the possible ages between 0 years and 25 years is in the shape of a triangle. What is the height of the t
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Answer:

Step-by-step explanation:

Note that the area under a probability density curve must be 1.

The formula for the area of a triangle is A = (1/2)(base)(height).

Here the base is 25 units.  Thus, A = 1 unit^2 = (1/2)(25 units)(height), or, after multiplying both sides of this equation by 2:

2 units^2  = ( 25 units)(height)

                             2 units^2

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The height of the triangle is 0.08 unit.

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3 years ago
What is the total cost of a $2,099 couch including the 6.5% sales tax?​
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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

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3 years ago
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