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3 years ago

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Find the value of the variable.

1 answer:

erica [24]3 years ago

3 0

X=pen ies
Y s97
Brats the

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Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probabi

QveST [7]

Answer:

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

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 $\sigma$ , 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:

$\mu = 387.20, \sigma = 68.50$

What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?

This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So

X = 425

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

$Z = \frac{425 - 387.20}{68.50}$

$Z = 0.55$

$Z = 0.55$ has a pvalue of 0.7088

X = 325

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

$Z = \frac{325 - 387.20}{68.50}$

$Z = -0.91$

$Z = -0.91$ has a pvalue of 0.1814

0.7088 - 0.1814 = 0.5274

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

7 0

3 years ago

Can someone pleaseeeeeehelp me

Effectus [21]

the answer will be bbcuz

7 0

4 years ago

Area rectangle of 9/10 x3/4

4vir4ik [10]

.675 square units is the answer

7 0

3 years ago

Help me with this easy problem If you answer correctly you will get brainliest and I wll draw you something. whaterver you like!

hjlf

Answer: 620

Step-by-step explanation:

$40 x 5.5 hrs = $220 This means that she earned $220 tutoring the first student.

$40 x 10 hrs = $400 She earned $400 tutoring the second student.

$220 + $400 = $620 She earned $620 in total that week.

7 0

2 years ago

Read 2 more answers

A city council consists of seven Democrats and five Republicans. If a committee of four people is selected, find the probability

Hoochie [10]

Answer:

The probability of selecting two Democrats and two Republicans is 0.4242.

Step-by-step explanation:

The information provided is as follows:

A city council consists of seven Democrats and five Republicans.
A committee of four people is selected.

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!\times (n-k)!}$

Compute the number of ways to select four people as follows:

${12\choose 4}=\frac{12!}{4!\times (12-4)!}=495$

Compute the number of ways to selected two Democrats as follows:

${7\choose 2}=\frac{7!}{2!\times (7-2)!}=21$

Compute the number of ways to selected two Republicans as follows:

${5\choose 2}=\frac{5!}{2!\times (5-2)!}=10$

Then the probability of selecting two Democrats and two Republicans as follows:

$P(\text{2 Democrats and 2 Republicans})=\frac{21\times 10}{495}=0.4242$

Thus, the probability of selecting two Democrats and two Republicans is 0.4242.

6 0

3 years ago