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schepotkina [342]
3 years ago
12

K is the midpoint of VW. If KV = 3x and KW = 5x-10, what is VW? 22.5 15 7.5 30

Mathematics
1 answer:
LekaFEV [45]3 years ago
5 0

Answer:

15

Step-by-step explanation:

just took the test. x=5 and the answer to the equation is 15

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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
Which is greater, 5 centimeters or 5 millimeters???
Cerrena [4.2K]
5 centimiters is greater because 10 milimeters make a centimeter
4 0
3 years ago
Read 2 more answers
List 3 values that would make this inequality true 3n > 12 a line is supposed to be under it >
Marizza181 [45]

Answer: n≥4

Step-by-step explanation:

If you put the value of 4 as n and multiply it by three you will get twelve which satisfies the inequality. Anything larger than 4 will also satisfy the inequality. I really hope this answer helped tell me in the comments.

3 0
3 years ago
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Need help with number 7
tatyana61 [14]

Since she runs 6\frac{1}{2} miles each day and there 7 days per week, you will have to multiply 6\frac{1}{2} times 7.

But since you have to use distributive properties, multiply like this (6\frac{1}{2})(7)

6\frac{1}{2} is equal to \frac{13}{2}

Now turn 7 into a fraction, so its \frac{7}{1}

Now multipy (6\frac{1}{2})(\frac{7}{1})

Multiply the numerators, so its 7 * 13 which gives you 91 and multiply the denominators so its 1 * 2 which gives you 2.

Put that back into a fraction as \frac{91}{2}

Divde it to change it to a mixed number and the answer is 45\frac{1}{2}

8 0
3 years ago
First to answer will get marked brainliest
I am Lyosha [343]
Answer:
3000 x 1.02^10 = 3656.98.. = 3656 people
7 0
3 years ago
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