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ella [17]
3 years ago
13

Eric wants to attend a public four-year university. He estimates that the average cost of one year at this university is $19,500

. He can save at most $325 a month. Without factoring in interest, grants, or scholarships, what is the minimum number of months he needs to save in order to be able to pay for one year of college?
60
62
65
67
Mathematics
2 answers:
rjkz [21]3 years ago
7 0
325 * 60 = 19500 so 60 months
mina [271]3 years ago
6 0

Answer:

A 60

Step-by-step explanation:

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How many women must be randomly selected to estimate the mean weight of women in one age group? We want 90% confidence that the
ki77a [65]

Answer:

155 women must be randomly selected.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The population standard deviation is known to be 28 lbs.

This means that \sigma = 28

We want 90% confidence that the sample mean is within 3.7 lbs of the populations mean. How many women must be sampled?

This is n for which M = 3.7. So

M = z\frac{\sigma}{\sqrt{n}}

3.7 = 1.645\frac{28}{\sqrt{n}}

3.7\sqrt{n} = 1.645*28

\sqrt{n} = \frac{1.645*28}{3.7}

(\sqrt{n})^2 = (\frac{1.645*28}{3.7})^2

n = 154.97

Rounding up:

155 women must be randomly selected.

4 0
3 years ago
Matthew is starting his own landscaping business. Matthew thinks he can
Andrews [41]

Answer:

1,260

Step-by-step explanation:

Multiply how much you get by the hours. Hope this helps!

5 0
3 years ago
Let R = [ 0 , 1 ] × [ 0 , 1 ] R=[0,1]×[0,1]. Find the volume of the region above R R and below the plane which passes through th
Bond [772]

The three vectors \langle0,0,1\rangle, \langle1,0,8\rangle, and \langle0,1,9\rangle each terminate on the plane. We can get two vectors that lie on the plane itself (or rather, point in the same direction as vectors that do lie on the plane) by taking the vector difference of any two of these. For instance,

\langle1,0,8\rangle-\langle0,0,1\rangle=\langle1,0,7\rangle

\langle0,1,9\rangle-\langle0,0,1\rangle=\langle0,1,8\rangle

Then the cross product of these two results is normal to the plane:

\langle1,0,7\rangle\times\langle0,1,8\rangle=\langle-7,-8,1\rangle

Let (x,y,z) be a point on the plane. Then the vector connecting (x,y,z) to a known point on the plane, say (0, 0, 1), is orthogonal to the normal vector above, so that

\langle-7,-8,1\rangle\cdot(\langle x,y,z\rangle-\langle0,0,1\rangle)=0

which reduces to the equation of the plane,

-7x-8y+z-1=0\implies z=7x+8y+1

Let z=f(x,y). Then the volume of the region above R and below the plane is

\displaystyle\int_0^1\int_0^1(7x+8y+1)\,\mathrm dx\,\mathrm dy=\boxed{\frac{17}2}

6 0
3 years ago
What are the answers to theseeeeee??
dusya [7]

Answer:

180,45

Step-by-step explanation:

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According to a commercial, 4 out of 5 dentist recommend a certain brand of toothpaste. Suppose There are 120 dentist in your are
Genrish500 [490]
4/5 recommend, so about 4/5(120) = 96 doctors recommend the brand.
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3 years ago
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