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Harman [31]
3 years ago
12

A trapezoid is shown: What is the area of the trapezoid?

Mathematics
2 answers:
Nina [5.8K]3 years ago
8 0

Answer:

Area of trapezoid is:

162 cm²

Step-by-step explanation:

Area(A) of trapezoid is given by:

A=\dfrac{1}{2}\times (sum\ of\ parallel\ sides)\times (Height)

Here, we are given Height=9 cm

One parallel side=6 cm

Other parallel side=(12+6+12) cm

                              = 30 cm

Sum of parallel side=(6+30) cm

                                = 36 cm

Area=\dfrac{1}{2}\times 36\times 9

       = 162 cm²

Hence, Area of trapezoid is:

162 cm²

Novay_Z [31]3 years ago
7 0
A = 1/2(6+30)(9)
A = 1/2(36)(9)
A = 162
answer
162 cm^2
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Answer:

a) 0.98% probability that 17 of the 29 people are men.

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Step-by-step explanation:

For each person chosen by the agency, there are only two possible outcomes. Either it is a man, or it is a woman. The probability of selecting a man or a women in each trial is independent from other trials. 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.

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(a) What is the probability that 17 of the 29 people are men?

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

P(X = 17) = C_{29,17}.(0.78)^{17}.(0.22)^{12} = 0.0098

0.98% probability that 17 of the 29 people are men.

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On the first 7 trials, all men, each with a 78% probability.

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P = (0.78)^{7}*0.22 = 0.0386

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