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Furkat [3]
3 years ago
13

Find the volume of a pyramid with a square base, where the area of the base is 11.9\text{ in}^211.9 in ​2 ​​ and the height of t

he pyramid is 13.9\text{ in}13.9 in. round your answer to the nearest tenth of a cubic inch.
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

Answer:

The volume of the pyramid is 165.4 inches^3

Step-by-step explanation:

In this question, we are asked to calculate the volume of the pyramid with a square base and also with the given height.

To find the area of this pyramid, what we need to do is to multiply the area of the base by the height of the pyramid

From the question, the area of the square base is 11.9 in^2 while the height of the pyramid is 13.9 in

Thus the volume here is simply 11.9 * 13.9 = 165.41 which to the nearest tenth of cubic inch is 165.4 inch^3

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Triclosan is a compound often added to products such as soaps, lotions, and toothpaste. It is antimicrobial, so for that reason,
miv72 [106K]

Answer:

The appropriate alternative hypothesis is, <em>Hₐ</em>: <em>p</em>₁ - <em>p</em>₂ > 0.

Step-by-step explanation:

In this case it is provided that Triclosan is a compound often added to products such as soaps, lotions, and toothpaste.

Since the compound is antimicrobial its corporate producer maintained that it should help prevent staph infections among people who use products containing the compound.

But a scientist wants to test whether the compound actually is associated with higher incidence of staph infection.

That is he wants to determine whether people with a detectable level of triclosan have higher rates of carrying the staph bacteria than people without triclosan.

Denote:

<u>Group 1:</u> people with a detectable level of triclosan

<u>Group 2:</u> people without a detectable level of triclosan

To test this the hypothesis can be defined as follows:

<em>H₀</em>: The proportion of people with a detectable level of triclosan does not have higher rates of carrying the staph bacteria than people without triclosan, i.e. <em>p</em>₁ - <em>p</em>₂ ≤ 0.

<em>Hₐ</em>: The proportion of people with a detectable level of triclosan have higher rates of carrying the staph bacteria than people without triclosan, i.e. <em>p</em>₁ - <em>p</em>₂ > 0.

Thus, the appropriate alternative hypothesis is, <em>Hₐ</em>: <em>p</em>₁ - <em>p</em>₂ > 0.

6 0
3 years ago
PLEASE ANSWER WITH AN EXPLANATION! THANK YOU
lubasha [3.4K]

Answer:

\large\boxed{A=153\ cm^2}

Step-by-step explanation:

<em>Look at the picture.</em>

We have

square with side length a = 9

trapezoid with base lengths b₁ = 9 and b₂ = 6 and the height length h = 6

right triangle with legs lengths l₁ = 3 + 6 = 9 and l₂ = 6

The formula of an area of a square

A=a^2

Substitute:

A_I=9^2=81\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

Substitute:

A_{II}=\dfrac{9+6}{2}\cdot6=\dfrac{15}{2\!\!\!\!\diagup_1}\cdot6\!\!\!\!\diagup^3=(15)(3)=45\ cm^2

The formula of an area of a right triangle:

A=\dfrac{l_1l_2}{2}

Substitute:

A_{III}=\dfrac{(9)(6)}{2}=\dfrac{54}{2}=27\ cm^2

The area of the shape:

A=A_I+A_{II}+A_{III}\\\\A=81+45+27=153\ cm^2

8 0
3 years ago
In​ 2005, there were 14,100 students at college​ A, with a projected enrollment increase of 1000 students per year. In the same​
Ede4ka [16]

Let A be college A and let B be College B

A= 14,100

Rule: 1 Year = +1,000 students

B= 34,350

Rule: -1250 per year

1st Answer: 2017

Notice: I didn't show the formula because I'm not %100 sure I'm kind of off so if this is incorrect I'm deeply sorry. I truly am. On the bright side, I think its correct.

4 0
3 years ago
Twelve years ago, Jane was five times as old as Anne. In three years' time, Anne will be half Jane's
Soloha48 [4]

Answer:

Jane: 37 years old

Anne: 17

Step-by-step explanation:

Jane 12 years ago: 5x

Anne 12 years ago: x

In three years into the future:

Jane: 5x+15

Anne: x+15

CURRENT TIME:

Jane: 5x+12

Anne: x+12

Equation (using 3 years into the future ages): 5x+15=2(x+15)

5x+15=2x+30

(subtract 15 from both sides)

5x=2x+15

3x=15

x=5

Therefore, Jane is 37 years old and Anne is 17 years old.

3 0
3 years ago
What is the surface area of this right rectangular prism with dimensions of 6 inches by 4 inches by 12 inches A. 324 B.256 C.288
VMariaS [17]

Answer:

C

Step-by-step explanation:

(6 * 4 ) * 2 = 48

( 4 * 12 ) * 2 = 96

( 6 * 12 ) * 2 = 144

48 + 96 + 144  = 288

6 0
2 years ago
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