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3 years ago

What is the difference?: 7/8 − 1/3

Mathematics

2 answers:

ad-work [718]3 years ago

5 0

Answer: 13/24

Step-by-step explanation: M A T H W A Y Calculator

ladessa [460]3 years ago

5 0

Answer:

0.54166666666 or 13/24

Step-by-step explanation:

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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

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

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

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

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

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

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

3 0

3 years ago

Find the area of the new figure.<br>

AleksandrR [38]

The side is 3 so it would be 3 times 5, your answer is 15

5 0

2 years ago

Classify the number: -23

fomenos

Wouldn’t the answer be 23?

7 0

3 years ago

Read 2 more answers

Find the amount to which $2,500 will grow if interest of 6.75% is compounded quarterly for 10

andreev551 [17]

Answer:

Part a

For this case n = 4. If we use the future value formula we got:

$A= 2500 (1+ \frac{0.0675}{4})^{4*10}= 4882.506$

Part b

For this case n = 365. If we use the future value formula we got:

$A= 2500 (1+ \frac{0.0675}{365})^{365*10}= 4909.776$

Step-by-step explanation:

We can use the future vaue formula for compound interest given by:

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

Where P represent the present value, r=0.0675 , n is the number of times that the interest is compounded in a year and t the number of years.

Part a

For this case n = 4. If we use the future value formula we got:

$A= 2500 (1+ \frac{0.0675}{4})^{4*10}= 4882.506$

Part b

For this case n = 365. If we use the future value formula we got:

$A= 2500 (1+ \frac{0.0675}{365})^{365*10}= 4909.776$

5 0

3 years ago

Tell whether it’s arithmetic or not reasoning 12,6,0,-6,-12

jekas [21]

Answer:

Yes this is an arithmetic sequence.

Step-by-step explanation:

12 , 6 , 0 , -6, -12

Difference = 2nd term - first term = 6 - 16 = -6

It is an arithmetic sequence and each term is got by adding (-6)

6 0

3 years ago