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iVinArrow [24]
3 years ago
10

Pls pls pls pls help me answer this fast

Mathematics
2 answers:
Arada [10]3 years ago
8 0

Answer:

351

Step-by-step explanation:

The prism shown is a trapezoidal prism

The volume of a trapezoidal prism can be calculated by finding the area of the base and then multiplying that by the length of the prism

The base of a trapezoidal prism is a trapezoid

The area of a trapezoid can be calculated by using this formula

A = (a + b) / 2 * h

Where a and b = the base lengths and h = height

The base shown has base lengths ( a and b ) of 5cm and 8cm and the height (h) given is 6cm

To find the area we simply plug in these values into the formula

A = (a + b) / 2 * h

a = 5cm

b = 8cm

h = 6cm

* Plug in values *

A = (5 + 8) / 2 * 6

Add 5 and 8

A = 13/2 * 6

Divide 13 and 2

A = 6.5 * 6

Multiply 6.5 and 6

A = 39

So the area of the base is 39cm^2

Now to find the volume of the trapezoidal prism we simply multiply 39 by the length of the prism ( which would be 9)

So V = 39 * 9 = 351

And we are done!

BabaBlast [244]3 years ago
4 0

Answer:

351\:\mathrm{cm^3}

Step-by-step explanation:

The area of this prism can be found by multiplying the area of the base by the height.

Since this only works if the two bases are the same, let's assign the congruent trapezoids on the front and back of the prism to be the trapezoid's bases.

The area of a trapezoid is equal to the average of its bases multiplied by its height. In this case, the height of each trapezoid is 6 and there are two bases 5 and 8. To find the average of a set of n values, add up all the values of the set and divide by n. Therefore, the average of 5 and 8 is \frac{5+8}{2}=\frac{13}{2}=6.5 and the area of the trapezoid is:

6\cdot 6.5=39\:\mathrm{cm^2}

Now we multiply this by the prism's height (9 cm), to get our final answer:

39\cdot 9=390-39=\boxed{351\:\mathrm{cm^3}}

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Answer:

1. The population of interest is all city goverments in the U.S.

5. The parameter of interest is the proportion of the city goverments in the U.S. that provide electricity to their residents.

Step-by-step explanation:

Hello!

Missing questions:

Which of the following is true? Select all that apply.

  1. The population of interest is all city governments in the U.S.
  2. The population of interest is the 192 cities.
  3. The population of interest is all city governments that provide utilities to their residents.
  4. The population of interest is 6.25%
  5. The parameter of interest is the proportion of the city governments in the U.S. that provide electricity to their residents.
  6. The parameter of interest is 6.25%
  7. The population of interest is the 20 counties.
  8. The parameter of interest is the list of all counties in the U.S.

The objective of this essay is to test utilities provided by city governments, for this a sample of 20 counties was taken then contacted each city of them counting how many of them provided utilities to their residents, finding out that 12 out of 192 cities (6.25%) provided electricity to their residents.

The study variable is:

X: Number of city governments that provide utilities (electricity) to their residents, in a sample of 192.

The population of the study is the city governments in the U.S.

And the parameter of interest is the population proportion of city governments in the U.S. that provide electricity to their residents.

I hope it helps!

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