All categories

3 years ago

This graph relates the volumes of triangular pyramids with a base area of 12 square inches and their heights.

Mathematics

1 answer:

Nikolay [14]3 years ago

3 0

Answer:

$V=40\ in^3$

Step-by-step explanation:

The graph is not attached, however we know that, the volume of a triangular pyramid is given by the formula

$V=\frac{1}{3}Bh$

where

B is the area of the triangular face

h is the height of the pyramid

we have

$B=12\ in^2\\h=10\ in$

substitute the given values

$V=\frac{1}{3}(12)(10)=40\ in^3$

You might be interested in

Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How much does Kiran’s backpack w

Nina [5.8K]

14-3=11, The answer is 11

4 0

2 years ago

Read 2 more answers

A rectangular field is twelve times as long as it is wide. If the perimeter of the field is 1690 feet, what are the dimensions o

lawyer [7]

Answer:

The width of the field is 65 feet.

The length of the field is 780 feet.

6 0

3 years ago

It’s meff plz help meh out

quester [9]

Use the box method.

5 0

3 years ago

A coupon subtracts 5.16 from the price p of a shirt. you pay 15.48 for the shirt after using the coupon. write and solve an eqau

DochEvi [55]

15.48 + 5.16 = p because you have to do the reverse. to find "p" you have to add the amount you subtracted.

7 0

2 years ago

There are 2,000 eligible voters in a precinct. A total of 500 voters are randomly selected and asked whether they plan to vote f

Ann [662]

Answer:

$0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647$

$0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753$

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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 population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

The estimated population proportion for this case is:

$\hat p = \frac{350}{500}=0.7$

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647$

$0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753$

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

7 0

2 years ago