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ankoles [38]
3 years ago
12

Which of the following verbal expression represents the algebraic expression x/2+5

Mathematics
1 answer:
ycow [4]3 years ago
6 0
It would be 5 more than half of a number.
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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
Why do we need to lean stuff that we dont need in the real world???
DanielleElmas [232]

Answer:

Teachers are idiots that's why :)

6 0
3 years ago
Read 2 more answers
I need help i am taking a test i need help
Pachacha [2.7K]

Answer:

91 degrees

Step-by-step explanation:

4 0
3 years ago
A) Addition
SCORPION-xisa [38]

Answer:

3+16 divided by 4 is 4.75

4×7-2×6..... is5.33

168

5 0
3 years ago
What is the value of this expression?30-5*4+2
Anna35 [415]
30 - 5*4 +2 = 12 
30 - 20 +2  = 12
10+2           = 12
12               = 12
6 0
3 years ago
Read 2 more answers
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