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3 years ago

5, - 13 4 , -3, 16 5 Order this set of numbers from LEAST to GREATEST.

Mathematics

1 answer:

Talja [164]3 years ago

7 0

Answer:

-13,-3,4,5,5,16

Step-by-step explanation:

-13 and -3 are negative, meaning the larger the negative, the lower the actual value.

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If c(x) = 5/(x - 2) d(x) = x + 3 , what is the domain of (co)(x) ?

frosja888 [35]

Answer:

Domain of (cd)(x) is all real numbers values except 2.

The value of (f/g)(5) is 270

Step-by-step explanation:

4 0

2 years ago

Finn changes his mind and, from now on, decides to take the normal route to work everyday. On any given day, the time (in minute

Margaret [11]

Answer:

The 33rd percentile of the time it takes Finn to get to work on any given day is 31.04 minutes.

There is a 61.92% probability that Finn took more than 40.5 minutes to get to work on the first day or more than 38.5 minutes to get to work on the second day.

Step-by-step explanation:

This can be solved by the the z-score formula:

On a normaly distributed set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a value X is given by:

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

Each z-score value has an equivalent p-value, that represents the percentile that the value X is:

The problem states that:

Mean = 35, so $\mu = 35$

Variance = 81. The standard deviation is the square root of the variance, so $\sigma = \sqrt{81} = 9$ .

Find the 33rd percentile of the time it takes Finn to get to work on any given day. Do not include any units in your answer.

Looking at the z-score table, $z = -0.44$ has a pvalue of 0.333. So what is the value of X when $z = -0.44$ .

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

$-0.44 = \frac{X - 35}{9}$

$X - 35 = -3.96$

$X = 31.04$

The 33rd percentile of the time it takes Finn to get to work on any given day is 31.04 minutes.

Over the next 2 days, find the probability that Finn took more than 40.5 minutes to get to work on the first day or more than 38.5 minutes to get to work on the second day.

$P = P_{1} + P_{2}$

$P_{1}$ is the probability that Finn took more than 40.5 minutes to get to work on the first day. The first step to solve this problem is finding the z-value of $X = 40.5$ .

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

$Z = \frac{40.5 - 35}{9}$

$Z = 0.61$

$Z = 0.61$ has a pvalue of 0.7291. This means that the probability that it took LESS than 40.5 minutes for Finn to get to work is 72.91%. The probability that it took more than 40.5 minutes if $P_{1} = 100% - 72.91% = 27.09% = 0.2709$

$P_{2}$ is the probability that Finn took more than 38.5 minutes to get to work on the second day. Sine the probabilities are independent, we can solve it the same way we did for the first day, we find the z-score of

$X = 38.5$

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

$Z = \frac{38.5 - 35}{9}$

$Z = 0.39$

$Z = 0.39$ has a pvalue of 0.6517. This means that the probability that it took LESS than 38.5 minutes for Finn to get to work is 65.17%. The probability that it took more than 38 minutes if $P_{1} = 100% - 65.17% = 34.83% = 0.3483$

So:

$P = P_{1} + P_{2} = 0.2709 + 0.3483 = 0.6192$

There is a 61.92% probability that Finn took more than 40.5 minutes to get to work on the first day or more than 38.5 minutes to get to work on the second day.

7 0

3 years ago

Leo went to the store to buy ingredients for his vegetable stew.He purchased 1.79 Lbs of potatoes and 2.34 Lbs of carrots for th

natta225 [31]

He purchased 4.13 pounds of vegetables.

7 0

3 years ago

the graph of f(x) can be compressed vertically and shifted to the left to produce the graph of g(x). if f(x)=x^3 which of the fo

Paul [167]

Answer:

Example: g(x) = 0.5(x+2)^3

Step-by-step explanation:

The correct answer choice should match the following:

A vertical compression means x^3 is multiplied by a number less than 1. Look for a fraction or decimal less than 1 as the leading coefficient.
A shift to the left it produced by adding values inside the operation to the input. Look for (x+2)^3 or (x+12)^3.

5 0

3 years ago

What is the standard form polynomial that represents this product? (-2m^3 + 3m^2 - m)(4m^2 + m - 5)

Svetach [21]

Answer:

-2m^3+12m^2-5

Step-by-step explanation:

if it's wrong I'm sorry

8 0

3 years ago

Read 2 more answers