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3 years ago

Simplify the expression. Give your answer using only positive exponents. Please look at the screenshot!

Mathematics

1 answer:

vovikov84 [41]3 years ago

7 0

Answer:

2\((x^5)(3))

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

Solve for n. 11(12 – 1) + 35 = 311 (0) n = n = -6 n=-3 n = 3 ( n n = 6

xenn [34]

what they are saying is n is 3 so 3+11=14

Step-by-step explanation:

7 0

3 years ago

2. Alex says that to find the volume of a cube he used the formula I.w.h. Julie says that formula she uses is l to the power of

GarryVolchara [31]

Julie is correct because LxWxH only applies to 2 dimensional shapes so therefore you need to use x to the power of 3 formula

8 0

3 years ago

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Anna can buy 3 sweatshirts for a total of $45.How much would it cost if she were to buy 5 sweatshirts at same price?

Lelechka [254]

Answer: Anna could buy 5 sweatshirts for $75.

Step-by-step explanation:

lets figure out the price of one sweatshirt.

45/3 = 15

one sweatshirt is $15

5*15=75

so 5 sweatshirts cost $75

5 0

3 years ago

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How many centimeters are there in 1 yard if there are 2.54 centimeters per inch? Show your work and express your answer without

sasho [114]

Answer: 91.44

Step-by-step explanation:

There are 3 feet in a yard, 12 inches in a foot. 2.54 x 12= 30.48

30.48 x 3= 91.44

I hope this helps!

3 0

3 years ago