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Brums [2.3K]
3 years ago
13

If the tournament is 195 miles away how many gallons of gas will she have to purchase

Mathematics
1 answer:
likoan [24]3 years ago
3 0
The number of gallons of gas she will need to go to the tournament
and then return to her home is

           (390) / (the number of miles her car drives on one gallon of gas) .
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6/40=3/20

Step-by-step explanation:

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Step-by-step explanation:

1 .1 ( .1 repeating) = \frac{10}{9}

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4 0
3 years ago
A set of data values is normally distributed with a mean of 90 and a standard deviation of 4. Give the standard score and approx
vampirchik [111]

Answer:

Standard score of -0.25.

A data value of 89 is approximately in the 40th percentile.

Step-by-step explanation:

Problems of normally distributed samples can be solved using 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 problem, we have that:

\mu = 90, \sigma = 4

Give the standard score and approximate percentile for a data value of 89.

Z when X = 89

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

Z = \frac{89 - 90}{4}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013.

So a data value of 89 is approximately in the 40th percentile.

4 0
3 years ago
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