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3 years ago

Pls answer pls fast number 4

Mathematics

1 answer:

avanturin [10]3 years ago

8 0

Answer:

Point C

Step-by-step explanation:

the x has to be negative and the Y has to be negative so choose the one that has both coordinates negative.

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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

ivolga24 [154]

Answer:

(a) 0.9412

(b) 0.9996 ≈ 1

Step-by-step explanation:

Denote the events a follows:

$P$ = a person passes the security system

$H$ = 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.

7 0

3 years ago

Susan made 4 uniform annual deposits of $1800 in a savings account that earned an interest rate of 2% per year. Her last deposit

Norma-Jean [14]

Answer:

"$ 2,880" is the right answer.

Step-by-step explanation:

The given values are:

Annual deposit,

PV = $1,800

Interest rate,

r = 2%

or,

= 0.02

As we know,

⇒ $FV=PV\times (1+r)n$

On substituting the values, we get

⇒ $=1,800\times (1 + 0.02) 4 + 7 + 13$

⇒ $=1,800\times (1.02)24$

⇒ $=1,800\times 1.6$

⇒ $= 2,880$ ($)

5 0

3 years ago

Emily is buying new cold weather gear for her family. She pays $100 for 5 pairs of waterproof gloves that each cost the same amo

inysia [295]

Answer:

A) 100 x (4/5)

Step-by-step explanation:

Spent a total of 100 dollars, all being the same price

Each is 20 dollars.

For 4 pairs it would be 80.

100 x (4/5) = 80

4 0

2 years ago

P is (7, 8) and Q is (-3, 2)

svetlana [45]

Answer:

(2,5)

Step-by-step explanation:

[7+(-3)]/2 = 2

(8+2)/2 = 5

3 0

3 years ago

How do you write add 4 to n then multiply by 5 in algebraic expression

irina [24]

Here is the anwer to your question ,
n+4•5

5 0

4 years ago