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stealth61 [152]
3 years ago
14

Which term is used to describe the opposite of distributing?

Mathematics
1 answer:
Vika [28.1K]3 years ago
6 0
That would be factoring ....
lets say u have 5(x + 3)....distribute and u get 5x + 15.
now take 5x + 15.....factor it and u get 5(x + 3).
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Mopeds (small motorcycles with an engine capacity below 50cm3) are very popular in Europe because of their mobility, ease of ope
d1i1m1o1n [39]

Answer:

a) 96.64% probability that maximum speed is at most 50 km/h

b) 24.67% probability that maximum speed is at least 48 km/h

c) 86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 46.8, \sigma = 1.75

A. What is the probability that maximum speed is at most 50 km/h?

This is the pvalue of Z when X = 50. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{50 - 46.8}{1.75}

Z = 1.83

Z = 1.83 has a pvalue of 0.9664

96.64% probability that maximum speed is at most 50 km/h.

B. What is the probability that maximum speed is at least 48 km/h?

This is 1 subtracted by the pvalue of Z when X = 48.

Z = \frac{X - \mu}{\sigma}

Z = \frac{48 - 46.8}{1.75}

Z = 0.685

Z = 0.685 has a pvalue of 0.7533

1 - 0.7533 = 0.2467

24.67% probability that maximum speed is at least 48 km/h.

C. What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?

Z = 1.5 has a pvalue of 0.9332

Z = -1.5 has a pvalue of 0.0668

0.9332 - 0.0668 = 0.8664

86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

6 0
3 years ago
A business could not collect $5,000 that it was owed. The total owed to the business was $100,000. What fraction of the total wa
son4ous [18]

Total owed to the business = $100,000

amount that could not be collected = $5000

Fraction of total not collected

\text{fraction not collected=}\frac{5000}{100000}=\frac{5}{100}=\frac{1}{20}

3 0
1 year ago
The banquet offers beef and chicken meals. Chicken costs $5 and the beef costs $7. There will be 250 people at the banquet. If t
BaLLatris [955]

Answer

125 of each meal are ordered

Step-by-step explanation:

You first multiply 7 x 125, which will get you 875

Next, you multiply 5 x 125 and get 625

Add that together and you get 1500

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If the area of a square is 121cm2 what is it’s side length
joja [24]

Answer:

Step-by-step explanation:

Area of a square

Area = l*l

121=l^2

l=√121

L=11cm

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Who can just finish this crossword for me? one word left... but idk it
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Answer:

glucose that is what i think but it looks not right for your letter.

Step-by-step explanation:

3 0
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