An expression is shown.

svet-max [94.6K]

It looks like the ∩ sign may be missing from the question. If you mean to find A∩C, called the intersection, you're looking for elements that are both in A and C.

{0, 2} qualifies.

6 0

3 years ago

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The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. What is the probability that,

professor190 [17]

Answer:

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Mean of 0.6 times a day

7 day week, so $\mu = 7*0.6 = 4.2$

What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-4.2}*(4.2)^{0}}{(0)!} = 0.0150$

$P(X = 1) = \frac{e^{-4.2}*(4.2)^{1}}{(1)!} = 0.0630$

$P(X = 2) = \frac{e^{-4.2}*(4.2)^{2}}{(2)!} = 0.1323$

So

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0150 + 0.0630 + 0.1323 = 0.2103$

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

3 0

3 years ago

Which tool is not needed to construct a perpendicular bisector?

Dafna11 [192]

A compass because youre just making two arcs

8 0

3 years ago

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Whats the answer two -x+4=1

blagie [28]

Its suposed to be-5+4=-1

8 0

3 years ago

The Johnsons are buying their first home. They are contemplating two similar loans. The first is a 30-year loan for $150,000 at

OLEGan [10]

Johnson's will pay by the end of the 20-year loan $326,807.25

Johnson's will pay by the end of the 30-year loan $512,109.68

Step-by-step explanation:

The formula for compound interest, including principal sum is

$A=P(1+\frac{r}{n})^{nt}$ , where:

A is the future value of the investment/loan, including interest
P is the principal investment amount (the initial deposit or loan amount)
r is the annual interest rate (decimal)
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

The Johnson's are buying their first home. They are contemplating

two similar loans

The first is a 30-year loan for $150,000 at an interest rate of 4.1% APT

compounded monthly

∴ P = $150,000

∴ r = 4.1% = (4.1/100) = 0.041

∴ n = 12 ⇒ compounded monthly

∴ t = 30

- Substitute all of these values in the formula above

∴ $A=150,000(1+\frac{0.041}{12})^{(12)(30)}$

∴ A = $512,109.68

Johnson's will pay by the end of the 30-year loan $512,109.68

The second is a 20-year loan for a $150,000 at an interest rate of 3.9%

APR compounded monthly

∴ P = $150,000

∴ r = 3.9% = (3.9/100) = 0.039

∴ n = 12 ⇒ compounded monthly

∴ t = 20

- Substitute all of these values in the formula above

∴ $A=150,000(1+\frac{0.039}{12})^{(12)(20)}$

∴ A = $326,807.25

Johnson's will pay by the end of the 20-year loan $326,807.25

Learn more:

You can learn more about interest in brainly.com/question/12773544

#LearnwithBrainly

7 0

3 years ago