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3 years ago

What is the solution to -4 = 2 - 3/10p + 9

Mathematics

2 answers:

Natasha_Volkova [10]3 years ago

8 0

The answer is 50.

Hope this helps!

Anton [14]3 years ago

5 0

combine like terms: -4 = -3/10p + 11

subtract 11 from both sides: -15 = -3/10p

divide by -3/10 on both sides: 50 = p

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The number of students in the tutoring center was recorded for 47 randomly selected times. The data is summarized in the frequen

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Using the information given, it is found that the class width for this frequency distribution table is of 1.

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

What is DC if AC = 10 cm, BC = 6 cm, and EC = 12 cm? using the options below

NNADVOKAT [17]

The answer is A. Or 5 cm.

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kwrob

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3 years ago

Read 2 more answers

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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