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Vesnalui [34]
3 years ago
14

I have 15a but I need 15b and 14

Mathematics
1 answer:
Naily [24]3 years ago
8 0
14. For a prism, the volume is given by
.. V = Bh . . . . . . . . where B is the area of the base, and h is the height of the prism

For a pyramid, the volume is given by
.. V = (1/3)*Bh . . . . where B is the area of the base, and h is the height of the pyramid

The volume is proportional to the area of the base. If the dimensions of the base decrease linearly to zero at the height of the geometry as they do for pyramids and cones, then the volume formula includes a factor of 1/3.


15b. The volume of a pyramid is 1/3 that of a prism with the same base area and height.
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A teacher gives a test to a large group of students. The results are closely approximated by a normal curve. Teh mean is 73, wit
zavuch27 [327]

Answer:

The bottom for an A is 75. Round to the nearest whole number as needed.

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent the scores on this case, and for this case we know the distribution for X is given by:

X \sim N(\mu=73,\sigma=7)  

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

2) The bottom for an A is _____. Round to the nearest whole number as needed.

And we want the top 5.5% of the scores, so we need a value a such that:

P(X>a)=0.055 or P(X

We need on the right tail of the distribution a value a that gives to us 94.5% of the area below and 5.5% of the area above. Both conditions are equivalent.

Let's use the condition P(X, the best way to solve this problem is using the z score with the following formula:

z=\frac{x-\mu}{\sigma}

So we need a value from the normal standard distribution that accumulates 0.945 of the area on the left and 0.055 on the right. This value on this case is 1.598 and we can founded with the following code in excel:

"=NORM.INV(0.945,0,1)"

If we apply the z score formula to our case we have this:

P(X

So then based on the equalities we have this:

\frac{a-73}{7}=1.598

And if we solve for a we got:

a=(7*1.598) +73=84.186

So then we need a score of 84.186 rounded to the nearest whole number 75 or higher in order to get an A

8 0
3 years ago
Find the midpoint of (-3,-5), (4,5) *<br> (3,2)<br> O (-6,4)<br> (0.5,0)<br> O (-1,-3)
Sergeu [11.5K]

Answer:

(0.5, 0) will be the midpoint by applying formula which is

add both "x" quadrant and divide by it by two and then add both "you" quadrant and then divide it also by 2 you will get answer

3 0
3 years ago
You guys, I seriously need help with this! I have been working on this for like 5 hours and I still can't understand it! Please
Alina [70]

Step-by-step explanation:

Q1. E

Q2. A

Q3. H

sorry if I'm wrong anyways

Q4. C

4 0
3 years ago
I had 13 dollars. My mom gave me 10 dollars. My dad gave me 30 dollars. My Aunt, My Uncle, and Grandma gave me 100 dollars. I ha
posledela
13+10+30+100+7=160 dollars
5 0
2 years ago
Read 2 more answers
Nine increased by a number
Alina [70]
increased: add/addition ( + ) \\ Number: z


9 + z \\ or \\ z + 9

good\\ luck \\ on  \\ your \\ assignment & also enjoy \\ your \\ day

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7 0
3 years ago
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