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3 years ago

100 pts question

Mathematics

1 answer:

bixtya [17]3 years ago

4 0

Let x be the width

Lenght = 10x + 8.1

(10x + 8.1)2 + 2x = 515.6

22x = 499.4

x = 22.7

Area = l*w

= 22.7*235.1

= 5336.77

= 5340( nearest tens)

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 12

melamori03 [73]

Answer:

98.75% probability that every passenger who shows up can take the flight

Step-by-step explanation:

For each passenger who show up, there are only two possible outcomes. Either they can take the flight, or they do not. The probability of a passenger taking the flight is independent from other passenger. So the binomial probability distribution is used to solve this question.

However, we are working with a large sample. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

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

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

The probability that a passenger does not show up is 0.10:

This means that the probability of showing up is 1-0.1 = 0.9. So $p = 0.9$

Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets

This means that $n = 125$

Using the approximation:

$\mu = E(X) = np = 125*0.9 = 112.5$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{125*0.9*0.1} = 3.354$

(a) What is the probability that every passenger who shows up can take the flight

This is $P(X \leq 120)$ , so this is the pvalue of Z when X = 120.

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

$Z = \frac{120 - 112.5}{3.354}$

$Z = 2.24$

$Z = 2.24$ has a pvalue of 0.9875

98.75% probability that every passenger who shows up can take the flight

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3 years ago

What is an inequality for this graph?

shtirl [24]

Answer:

B. y ≤ |x – 2| + 4

Step-by-step explanation:

Shading is below the solid line, so the appropriate relation symbol is "less than or equal to" (≤).

Shading is below when y values less than those on the line are part of the solution set.

The line is solid when it is part of the solution set (dashed, otherwise). It is part of the solution set when y-values equal to those on the line are solutions to the inequality.

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3 years ago

The length of a rectangle is 3 m longer then it’s width the area of the rectangle is 154 m^2 what is the width of the rectangle

Alenkasestr [34]

The width is 11.

You can get this by setting up an equation that says:

x (x - 3) = 154

Then distribute and use the quadratic equation to solve.

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3 years ago

A machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produce

Jobisdone [24]

Answer:

Option B, would be the correct answer: 75 labels per minute

Step-by-step explanation: