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Ilya [14]
3 years ago
12

I need the volume of this triangular prism as soon as possible

Mathematics
1 answer:
IceJOKER [234]3 years ago
7 0

Answer:

7200 cubic feet

Step-by-step explanation:

The volume of a prism can be found using the formula V = Bh, where B is the area of the base and h is the height. In this case the base is a triangle, and the area of a triangle can be found by the formula \frac{1}{2} bh. Since the base is 20 and the height is 30, the area of the base is \frac{1}{2} (20)(30) = 300   ft^{2}. So, now we know both the area of the base and the height of the prism, which was already given to us by the diagram (24 feet). And, all we have to now is to multiply them together! So:

V = Bh

V = 300(24)

V = 7200 ft{^{3} }

Hope that helped! :)

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3. Assume that the likelihood of a child under the age of ten watching PBS is 0.76. Three children are
natta225 [31]

Using the binomial distribution, the probabilities are given as follows:

a) 0.4159 = 41.59%.

b) 0.5610 = 56.10%.

c) 0.8549 = 85.49%.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

For this problem, the values of the parameters are:

n = 3, p = 0.76.

Item a:

The probability is P(X = 2), hence:

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

P(X = 2) = C_{3,2}.(0.76)^{2}.(0.24)^{1} = 0.4159

Item b:

The probability is P(X < 3), hence:

P(X < 3) = 1 - P(X = 3)

In which:

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

P(X = 3) = C_{3,3}.(0.76)^{3}.(0.24)^{0} = 0.4390

Then:

P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.

Item c:

The probability is:

P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4159 + 0.4390 = 0.8549

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

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2 years ago
Tyler has 3 times as many books as Mai. How many books does Mai have<br> if Tyler has x books?
arlik [135]
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3 years ago
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kow [346]

Answer:

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  Change in height of the parasail = 200.6 - 120.8 = 79.8 feet.

   Change in height of the parasail after 5 minutes = 79.8 feet.

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