Which graph shows the rule: output = 5 times the input ? explain please!!

astraxan [27]

Steven gained 100 points.

To calculate the gain or lose of any 2 numbers, always do

Final - Initial

So,

-50 - -150

Is like saying

I have negative 50, and I take away negative 150.

Taking away negative numbers is just addition.

-50 + 150 = 100

7 0

2 years ago

A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 33.9 wee

MArishka [77]

Answer:

P(35.3 < M < 35.4) = 0.0040.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 33.9, \sigma = 6.7, n = 119, s = \frac{6.7}{\sqrt{119}} = 0.6142$

Find the probability that a single randomly selected value is between 35.3 and 35.4

This is the pvalue of Z when X = 35.4 subtracted by the pvalue of Z when X = 35.3. So

X = 35.4

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

By the Central Limit Theorem

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

$Z = \frac{35.4 - 33.9}{0.6142}$

$Z = 2.44$

$Z = 2.44$ has a pvalue of 0.9927

X = 35.3

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

$Z = \frac{35.3 - 33.9}{0.6142}$

$Z = 2.28$

$Z = 2.28$ has a pvalue of 0.9887

0.9927 - 0.9887 = 0.0040

So the answer is:

P(35.3 < M < 35.4) = 0.0040.

4 0

2 years ago

It is a timed test i will give brainleist

Harlamova29_29 [7]

hhhhhhhhhkkkkkkkkkkkkkkkkh

8 0

2 years ago

What is the result when the number 38 is decreased by 50%?

kolezko [41]

Answer:

19

Step-by-step explanation:

38 - 50% = 19

8 0

2 years ago

HELP? I don’t know the answer

iren [92.7K]

ANSWER

It is horizontally compressed by a factor of 2 and reflected over the y-axis.

EXPLANATION

The parent function given to us is

$y = \sqrt{x}$

The parent function has been transformed to obtain

$y = \sqrt{ - 2x}$

This transformation is of the form:

$y = \sqrt{kx}$

If

$|k| > 1$

then,there is a horizontal compression by a factor of k.

Hence

$y = \sqrt{ - 2x}$

is horizontally compressed by a factor of 2.

Since -2<0, it is a reflection in the y-axis.

The correct choice is the last option.

3 0

2 years ago