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1 year ago

15

Darnell is constructing a rectangle window frame. He measured the length, the width, and the diagonal as 26 inches, 32 inches, a

nd √1700 inches.
Use the drop-down menus to answer the following questions of Darnell’s window frame.

What is the longest side?

What is the square of the longest side?

What is the sum of the squares of the two shorter sides?

Does the window frame form right triangles?

2 answers:

OleMash [197]1 year ago

8 0

Answer:

What is the longest side?

square root of 1700

What is the square of the longest side?

1700

What is the sum of the squares of the two shorter sides?

1700

Does the window frame form right triangles?

Yes, the sum of the square of the two shorter sides equals the square of the longest side.

Wittaler [7]1 year ago

7 0

Answer:

D

D

D

A

Step-by-step explanation: I did it and I got it right

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the time taken by a student to the university has been shown to be normally distributed with mean of 16 minutes and standard dev

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Answer:

a) 2.84% probability that he is late for his first lecture.

b) 5.112 days

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:

$\mu = 16, \sigma = 2.1$

a. Find the probability that he is late for his first lecture.

This is the probability that he takes more than 20 minutes to walk, which is 1 subtracted by the pvalue of Z when X = 20. So

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

$Z = \frac{20 - 16}{2.1}$

$Z = 1.905$

$Z = 1.905$ has a pvalue of 0.9716

1 - 0.9716 = 0.0284

2.84% probability that he is late for his first lecture.

b. Find the number of days per year he is likely to be late for his first lecture.

Each day, 2.84% probability that he is late for his first lecture.

Out of 180

0.0284*180 = 5.112 days

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1 year ago

Jacob has a bag of his favorite marbles. It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange. What is t

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Answer:

$P(1\ and\ 2) = 0.3309$

Step-by-step explanation:

Given

$Red = 3$

$Blue = 4$

$Orange=10$

Required

Probability of selecting 2 orange marbles

The total number of marbles is:

$Total = Red + Blue + Orange$

$Total = 3 + 4 + 10$

$Total = 17$

The probability that the first selection is orange is:

$P(1) = \frac{10}{17}$

Because it is a selection without replacement, the number of orange marbles and the total number of marbles would decrease by 1, respectively.

So, the probability that the selection is orange is:

$P(2) = \frac{10-1}{17-1}$

$P(2) = \frac{9}{16}$

The required probability is:

$P(1\ and\ 2) = P(1) * P(2)$

$P(1\ and\ 2) = \frac{10}{17} * \frac{9}{16}$

$P(1\ and\ 2) = \frac{10*9}{17*16}$

$P(1\ and\ 2) = \frac{90}{272}$

$P(1\ and\ 2) = 0.3309$

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1 year ago

What is the value of n in the equation –negative StartFraction one-half EndFraction left-parenthesis 2 n plus 4 right-parenthesi

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Answer:

Solution to equation: $n = 1$

Step-by-step explanation:

We are given the following equation:

$-\dfrac{1}{2}(2n + 4) + 6 = -9 + 4(2n + 1)$

We have to solve the equation to find the value of n.

Solving the equation, we get,

$-\dfrac{1}{2}(2n + 4) + 6 = -9 + 4(2n + 1)\\\\-\dfrac{1}{2}(2n + 4)-4(2n+1) = -9-6\\\\-n-2-8n-4 = -15\\\Rightarrow -9n = -15 + 6\\\Rightarrow -9n = -9\\\Rightarrow n = 1$

Thus, value of n is 1.

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