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sweet-ann [11.9K]
2 years ago
11

Paige earns $15.50 per hour and works 20 hours each week. She gets a 10% raise and decides to save 20% of her paycheck for a new

phone. How much money will Paige have saved after 4 weeks?
A. 297.60
B. 68.20
C. 136.40
D. 272.80​
Mathematics
1 answer:
Sindrei [870]2 years ago
7 0

Answer: b

Step-by-step explanation:

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If a distribution has a mean of 25 and a standard deviation of 2, what value would be −4 standard deviations from the mean?
Harlamova29_29 [7]
25 +(-4)*2 = 17

A value of 17 is -4 standard deviations from the mean.
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3 years ago
At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper
Korvikt [17]

Answer:

90.67% probability that John finds less than 7 golden sheets of paper

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it contains a golden sheet of paper, or it does not. The probability of a container containing a golden sheet of paper is independent of other containers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper containers.

This means that p = 0.3

14 of these containers of paper.

This means that n = 14

What is the probability that John finds less than 7 golden sheets of paper?

P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{14,0}.(0.3)^{0}.(0.7)^{14} = 0.0068

P(X = 1) = C_{14,1}.(0.3)^{1}.(0.7)^{13} = 0.0407

P(X = 2) = C_{14,2}.(0.3)^{2}.(0.7)^{12} = 0.1134

P(X = 3) = C_{14,3}.(0.3)^{3}.(0.7)^{11} = 0.1943

P(X = 4) = C_{14,4}.(0.3)^{4}.(0.7)^{10} = 0.2290

P(X = 5) = C_{14,5}.(0.3)^{5}.(0.7)^{9} = 0.1963

P(X = 6) = C_{14,6}.(0.3)^{6}.(0.7)^{8} = 0.1262

P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0068 + 0.0407 + 0.1134 + 0.1943 + 0.2290 + 0.1963 + 0.1262 = 0.9067

90.67% probability that John finds less than 7 golden sheets of paper

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2 years ago
How many 2-letter combinations can be made from the letters A, B, C, and D?
yulyashka [42]

Answer:

12

Step-by-step explanation:

each letter can be used with each other 3 times and there are 4 letters so 12

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An ant walks 30 feet in 6 minutes.How long would it take the ant to walk 35 yards
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You need to multiply 30 by 6 so 30times6 =your answer
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The base and height of triangle MNP are 3 times as long as the base and height of triangle JKL.
77julia77 [94]
Answer is b hope this helps
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