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3 years ago

I need help with this question!!

Mathematics

1 answer:

erica [24]3 years ago

7 0

Hope this helps. If you have any further question, ask in comments.

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What part of a check is the LEAST important?

dalvyx [7]

The memo line hope it helps.

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3 years ago

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

The smith family is shopping for a new car

Alenkasestr [34]

Answer:

Sample response: The Smith family has 2 choices to make, color and style. By the fundamental counting principle, the product of the number of choices of color and style must equal 8. So, there could be 1 color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles, or 8 colors and 1 style.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A gardener is planting two types of trees. Type A is three feet and grows at a rate of 15 inches per year. Type B is four feet t

4vir4ik [10]

Answer:

2.4 years

Step-by-step explanation:

We can write two equations for each Type and equate and solve for unknown variable.

First, we need to make the initial height (in ft) to inches.

3 feet = 3 * 12 = 36 inches

4 feet = 4 * 12 = 48 inches

Let "t" be the number of years

For Type A, the equation would be:

36 + 15t [36 inches already and 15 inches per year]

For Type B, the equation would be:

48 + 10t [48 inches and 10 inches per year]

Now we equate and solve for "t", the time when both are same height:

$36 + 15t = 48 + 10t\\15t-10t=48-36\\5t=12\\t=\frac{12}{5}\\t=2.4$

Hence, after 2.4 years, both trees' heights would be same

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4 years ago

You conduct a statistical test of hypotheses and find that the null hypothesis is statistically significant at level α = 0.05. Y

viktelen [127]

Answer:

Neither options one or two is true

Step-by-step explanation:

When we test a statistical hypothesis, we must specify a level of significance. It is this level of significance that presents the maximum probability at which we are willing to risk committing a type one error.

Therefore, it is independent of any other level of significance used.

Hence, we conclude that neither options one or two is true.

7 0

3 years ago