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SVETLANKA909090 [29]
3 years ago
6

Calculate the unit rate. Label your work properly. Show your fraction work.

Mathematics
2 answers:
likoan [24]3 years ago
5 0

Answer:

(9/10) of a pizza per hour.

Step-by-step explanation:

(3/4)*4=3

(5/6)*4= 3hr 20 mins

[3 (1/3)] / [3 (1/3)]=1

3 / [3 (1/3)]= 0.9

yawa3891 [41]3 years ago
4 0
3/4. 5/6 hr
x. 1hr
x=3/4 •1 ÷ 5/6
x=3/4 • 6/5
x=18/20
x=9/10
Rate is 9/10 of pizza in one hour
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<u>18 of the books are science fiction.</u>

Step-by-step explanation:

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3.In 1995, the Educational Testing Service in Princeton, New Jersey (which administers SAT exam) re-centered the scores so that
Travka [436]

Answer:

38.22% probability that of 10 randomly selected students, lessthan four will be between 900 and 1,100

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they score between 900 and 1,100, or they score outside this range. The probability of a student scoring between 900 and 1,100 is independent from other students. 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.

About 40 percent of these students’ scores were between 900 and 1,100.

This means that p = 0.4.

a)Based on this estimate, what is the probability that of 10 randomly selected students, lessthan four will be between 900 and 1,100?

This is P(X < 4) when n = 10. So

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

In which

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

P(X = 0) = C_{10,0}.(0.4)^{0}.(0.6)^{10} = 0.0060

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P(X = 2) = C_{10,2}.(0.4)^{2}.(0.6)^{8} = 0.1209

P(X = 3) = C_{10,3}.(0.4)^{3}.(0.6)^{7} = 0.2150

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0060 + 0.0403 + 0.1209 + 0.2150 = 0.3822

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8 0
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Answer:

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Step-by-step explanation:

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