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2 years ago

Tiffany is filling her daughter's pool with water from a hose. She can fill the pool at a rate of 1/10 gallons per second.

1 answer:

8 0

At first I assumed you were asking for 3 different ratios equivalent to 1/10, which could be 2/20, 10/100, or 5/50. But it seems you are asking for ratios equivalent to 1/10 gallons to second. For this, you could change both the 'gallons' and the 'seconds' to get different unit with the same ratio. 1/10 gallon / second * 60 seconds / 1 minute gallons / minute 1/10 gallon / second * 1 gallon / 4 quarts = 1/40 quarts / second combining these two conversions we can do 1/10 gallon / second * 60 second / 1 minute * 1 gallon / 4 quarts = 3/2% 3D

Final answer: 1/10 gallons / second = 6 gallons / minute = 1/40% 3D quarts / second = 3/2 quarts / minute Hope I helped :)

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Give the value of the digit 8 in each number.

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1) Hundreadth

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Write the doubles plus one fact for 7+7.

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7 + 8 = 7 + 7 + 1.

Step-by-step explanation:

We know that, 'double plus one facts' is used to make the addition of numbers easy.

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3 years ago

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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

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