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3 years ago

12

Fiona spent $13.70 to travel across the city in a taxi. It cost her $3.25 to get the taxi and $2.75 each mile she traveled. Writ

e an equation to find m the total onnumber of miles Fiona traveled.

2 answers:

Goryan [66]3 years ago

8 0

$2.75m+3.25=13.70$

$2.75m=13.70-3.25\\\\2.75m=10.45\ \ \ /:2.75\\\\m=\frac{10.45}{2.75}\\\\m=\frac{1045}{275}\\\\m=3.8\ (miles)$

marishachu [46]3 years ago

4 0

Answer:

3.8

Step-by-step explanation:

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Step-by-step explanation:

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Binomial probability distribution

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Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

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The standard deviation of the binomial distribution is:

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Normal probability distribution

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.

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100 tosses, so $n = 100$

Two outcomes, both equally as likely. So $p = \frac{1}{2} = 0.5$

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$E(X) = np = 100*0.5 = 50$

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.5*0.5} = 5$

Estimate the approximate probability that the number of tails is between 40 and 60.

Using continuity correction.

$P(40 - 0.5 \leq X \leq 60 + 0.5) = P(39.5 \leq X \leq 60.5)$

This is the pvalue of Z when X = 60.5 subtracted by the pvalue of Z when X = 39.5. So

X = 60.5

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$Z = 2.1$

$Z = 2.1$ has a pvalue of 0.9821

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$Z = -2.1$ has a pvalue of 0.0179

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96.42% probability that the number of tails is between 40 and 60.

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3 years ago

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Answer:

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