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Dennis_Churaev [7]
3 years ago
8

Point A is at 2 and Point B is at 4, what is the midpoint?

Mathematics
1 answer:
Pepsi [2]3 years ago
4 0

3 because the middle of 2 and 4 is three so three is the midpoint

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A number x is equal to 7. 24. 48. What is the smallest positive integer y such that the product xy is a perfect cube
Tcecarenko [31]
What’s the questionv
8 0
2 years ago
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
valina [46]

Answer:

A sample of 179 is needed.

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 - 0.85}{2} = 0.075

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.075 = 0.925, so Z = 1.44.

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.

A previous study found that for an average family the variance is 1.69 gallon?

This means that \sigma = \sqrt{1.69} = 1.3

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

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

0.14 = 1.44\frac{1.3}{\sqrt{n}}

0.14\sqrt{n} = 1.44*1.3

\sqrt{n} = \frac{1.44*1.3}{0.14}

(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2

n = 178.8

Rounding up

A sample of 179 is needed.

7 0
3 years ago
What is the area of the figure?
RUDIKE [14]
The area formula for rectangles is lxw. To solve, I would divide the figure up into 3 rectangles- top,middle and bottom, then find the areas and add them together.

Top: 4x13=52 cm^2
Middle: 5x8=40 cm^2
Bottom: 21x10=210 cm^2

(5 is the width of the middle piece. You get it from subtracting. 21-8-8=5. 13 is the width of the top piece. 5+8=13)

52+40+210
=302 cm^2
So your answer is 302 square centimetres.
6 0
3 years ago
Find the volume of the solid under the surface z = 5x + 9y 2 and above the region bounded by x = y 2 and x = y 3.
Yanka [14]
Call the region in the x-y plane, bounded by x=y^2 and x=y^3, \mathcal D. Then the volume under the given surface is

\displaystyle\iint_{\mathcal D}(5x+9y)\,\mathrm dA=\int_{y=0}^{y=1}\int_{x=y^3}^{x=y^2}(5x+9y)\,\mathrm dx\,\mathrm dy=\frac{83}{140}
8 0
3 years ago
Plz answer ASAP with work ty!
horsena [70]

Answer: 8\sqrt{6}

Step-by-step explanation:

\frac{2^4\sqrt{3}}{\sqrt{2}}

2^{\frac{7}{2}}\sqrt{3}

2^{\frac{7}{2}}=2^{3+\frac{1}{2}}

2^3\cdot \:2^{\frac{1}{2}}=

2^3\sqrt{2}

= 2^3\sqrt{2}\sqrt{3}=

2^3\sqrt{2\cdot \:3}

=2^3\sqrt{6}

2^3=8

Answer- 8\sqrt{6}

7 0
3 years ago
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