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2 years ago

Answer number 14 please

Mathematics

1 answer:

ale4655 [162]2 years ago

4 0

1 7/12 gallons

5/6 gallons = 1/4 minutes

5/6+3/4= 10/12, 1/4+3/4 = 4/4

19/12 gallons = 4/4 minutes

19/12 = 1 7/12

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Explain how to verify that 3(2x + 5) = 9 + 3x and x = –2 are equivalent equations.

aniked [119]

3 times (2x + 5) is 6x + 15.

6x + 15 = 9 + 3x.

Group by like terms. 6 = -3x

Divide to get x by itself. 6/-3 = -2

Thus -2 = x

6 0

3 years ago

In 1982 Abby’s mother scored at the 93rd percentile in the math SAT exam. In 1982 the mean score was 503 and the variance of the

oksian1 [2.3K]

Answer:

The percentle for Abby's score was the 89.62nd percentile.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation(which is the square root of the variance) $\sigma$ , 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.

Abby's mom score:

93rd percentile in the math SAT exam. In 1982 the mean score was 503 and the variance of the scores was 9604.

93rd percentile. X when Z has a pvalue of 0.93. So X when Z = 1.476.

$\mu = 503, \sigma = \sqrt{9604} = 98$

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

$1.476 = \frac{X - 503}{98}$

$X - 503 = 1.476*98$

$X = 648$

Abby's score

She scored 648.

$\mu = 521 \sigma = \sqrt{10201} = 101$

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

$Z = \frac{648 - 521}{101}$

$Z = 1.26$

$Z = 1.26$ has a pvalue of 0.8962.

The percentle for Abby's score was the 89.62nd percentile.

3 0

3 years ago

Find y' by implicit differentiation √x +√y =1

AleksandrR [38]

Differentiate both sides with respect to x

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3 years ago

Which statement best explains whether the table represents a linear or nonlinear function?

Leni [432]

the bush shelter

can help you well try this method

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4 years ago

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You estimate that a tree is 45 ft tall. It is actually 58 ft tall.

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You are 13 feet below from where you measured to where it actually is.

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