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Natalija [7]
4 years ago
5

PLEASE HELP ME ASAP!!! The cross section of rectangular prism A measures 6 units by 4 units. The cross section of triangular pri

sm B has a base that measures 8 units and a height of 6 units. If the length of each prism is 7.22 units, which statement is true?
Answers in the picture

Mathematics
2 answers:
ss7ja [257]4 years ago
4 0

Answer:

Volume A = Volume B ⇒ last answer

Step-by-step explanation:

* Lets explain how to solve the problem

- The volume of any prism = The area of the cross section × its length

- Prism A is a rectangular prism

∴ Its cross section is a rectangle with dimensions 6 units and 4 units

∵ The area of the rectangle = length × width

∴ The area of the cross section = 6 × 4 = 24 units²

∵ Its volume = The area of the cross section × its length

∵ Its length = 7.22 units

∴ Its volume = 24 × 7.22 = 173.28 units³

- Prism B is a triangular prism

∴ Its cross section is a right triangle with base 8 units and height

  6 units

∵ The area of the triangle = 1/2 × base × height

∴ The area of the cross section = 1/2 × 8 × 6 = 24 units²

∵ The its volume = The area of the cross section × its length

∵ Its length = 7.22 units

∴ Its volume = 24 × 7.22 = 173.28 units³

- The volume of the rectangular prism equals the volume of the

  triangular prism

∴ Volume A = Volume B

mixas84 [53]4 years ago
4 0

Answer: Volume A = Volume B

Step-by-step explanation: Took the test

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What is the HCF of 1280 and 630
tatuchka [14]

Given:

The two numbers are 1280 and 630.

To find:

The HCF of the given numbers.

Solution:

First write the given numbers in prime factorization form.

1280=2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 5

630=2\cdot 3\cdot 3\cdot 5\cdot 7

Now the product of all the common prime factors is known as the HCF of 1280 and 630.

HCF=2\cdot 5

HCF=10

Therefore, the HCF of 1280 and 630 is 10.

4 0
3 years ago
In a large population, 60% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that A
gulaghasi [49]

Answer:

0.9744 probability that AT LEAST ONE of them has been vaccinated

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have been vaccinated, or they have not. The probability of a person having been vaccinated is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

60% of the people have been vaccinated.

This means that p = 0.6

If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

This is

P(X \geq 1) when n = 4.

We have that

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{4,0}.(0.6)^{0}.(0.4)^{4} = 0.0256

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0256 = 0.9744

0.9744 probability that AT LEAST ONE of them has been vaccinated

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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