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elena55 [62]
3 years ago
6

A trapezoid has an area of 35 square inches. It has a base of 8 inches and 6

Mathematics
1 answer:
Liula [17]3 years ago
5 0

the height of the trapezoid of 5, i think.

my work:

i used this formula: 2 x a + b / A

so, you plug in what you know.

2 x 8+6 / 35 = 5

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A new security system needs to be evaluated in the airport. The probability of a person being a security hazard is 4%. At the ch
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Denote the events a follows:

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H = a person is a security hazard

Given:

P (H) = 0.04,\ P(P^{c}|H^{c})=0.02\ and\ P(P|H)=0.01

Then,

P(H^{c})=1-P(H)=1-0.04=0.96\\P(P|H^{c})=1-P(P|H)=1-0.02=0.98\\

(a)

Compute the probability that a person passes the security system using the total probability rule as follows:

The total probability rule states that: P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})

The value of P (P) is:

P(P)=P(P|H)P(H)+P(P|H^{c})P(H^{c})\\=(0.01\times0.04)+(0.98\times0.96)\\=0.9412

Thus, the probability that a person passes the security system is 0.9412.

(b)

Compute the probability that a person who passes through the system is without any security problems as follows:

P(H^{c}|P)=\frac{P(P|H^{c})P(H^{c})}{P(P)} \\=\frac{0.98\times0.96}{0.9412} \\=0.9996\\\approx1

Thus, the probability that a person who passes through the system is without any security problems is approximately 1.

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