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inn [45]
3 years ago
9

Colton has a stone paperweight composed of a triangular pyramid on top of a triangular prism with the dimensions shown below. Us

e the drop-down menus to explain how to determine the volume of the paperweight. Needdddd major hellllpppp pleaseeee!!!!! 40 points!!!

Mathematics
1 answer:
Eva8 [605]3 years ago
3 0

The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.

The base and height are the two sides perpendicular to each other, which are both 5 inches.

The area of the base = 1/2 x 5 x 5 = 12.5 square inches.

The volume of the triangular prism is the area of the base times the height, which is 4 inches.

Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.

Volume of the triangular prism is 1/3 x area of base x height, which is 7:

Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.

Total volume = 29.17 + 50 = 79.17 cubic inches.

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3 years ago
According to a recent​ study, 1 in every 10 women has been a victim of domestic abuse at some point in her life. Suppose we have
Schach [20]

According to the given, 1 in every 10 women has been a victim, therefore the probability of a  victim of domestic abuse at some pint is

p=\frac{1}{10} = 0.10

We need to use Binomial distribution to take a randomly sampled of 25 women and asked each whether she has been a victim.

f(x)= ^nC_x (p)^x (1-p)^{n-x}

Where x is the event that shows a victim of domestic abuse at some point.

We need to find the probability of these victim at least 2 has been victim of abuse, so

P(x>=2) = 1- [P(x=0)+P(x=1)]

P(x>=2) = 1 - [^{25}C_0(0.10)^0(1-0.10)^{25-0}+^{25}C_1(0.10)^1(1-0.10)^{25-1}]

P(x>=2) = 1 - [0.07198+0.199]

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3 0
4 years ago
The 2018 Current Population Survey (CPS) estimates that 19.7% of Mississippians live in poverty, which makes Mississippi the sta
mina [271]

Answer: 0.0265

Step-by-step explanation:

Given: The proportion of Mississippians live in poverty, which makes Mississippi the state with the highest poverty rate in the United States. : p = 19.7% = 0.197

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The probability that at least 25% of them live in poverty will be

P(\hat{p}\geq0.25)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\geq\dfrac{0.25-0.197}{\sqrt{\dfrac{0.25\times0.75}{250}}})\\\\=P(Z>\geq1.9353)\\\\=1-P(Z

Hence, the required probability = 0.0265

4 0
3 years ago
A. y:24=6:y<br><br> Can someone please help me
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Answer:

y = ± 12

Step-by-step explanation:

Given

y : 24 = 6 : y, or in fraction form

\frac{y}{24} = \frac{6}{y} ( cross- multiply )

y² = 144 ( take the square root of both sides )

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4 years ago
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