WILL CHOOSE BRAINLIEST

2x-y=4 <br> 3y-3x=6<br> How do I graph this

bezimeni [28]

Step-by-step explanation:

Put y's on the one side and divided by what they have in the front so it would be

y=2x-4

and

y=x+2

and they y intercept for first one is -4

and slope is 2 which it goes up twice and goes right once because its positive

second one, y intercept is 2

and slope is 1 goes one up and one right because it is positive

4 0

3 years ago

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Keats Library purchases a number of new books, all in the category of biography; the library does not acquire any other books. W

PtichkaEL [24]

Answer:

$\large \boxed{87.5 \, \%}$

Step-by-step explanation:

Let x = the original number of books

Then 0.375x = the total number of biographies

and 0.20 x = the original number of biographies

$\text{Percent increase} = \dfrac{\text{ New number - Old number }}{\text{Old number }} \times 100\, \%\\\\= \dfrac{0.375x - 0.20x}{0.20x} \times 100\, \% = \dfrac{0.175x}{0.20x} \times 100\, \% = 0.875 \times 100\, \% = \mathbf{87.5 \, \%}\\\\\text{The number of biographies has increased by $\large \boxed{\mathbf{87.5 \, \%}}$}$

7 0

3 years ago

If the dot product of two nonzero vectors v1 and v2 is nonzero, what does this tell us?

vredina [299]

ANSWER

A) v1 is not perpendicular to v2

EXPLANATION

Two non-zero vectors are orthogonal or perpendicular if their dot product is zero.

In other words,if two non-zero vectors are not orthogonal or perpendicular then their dot product is not equal to zero.

From the question v1 and v2 are non-zero vectors and their dot product is not equal to zero.

This tells us that, the two vectors are not perpendicular.

The correct choice is A.

6 0

3 years ago

The ratio of people who walk home from school to people who ride the bus home is 2 : 7. The number of bus riders is how many tim

Strike441 [17]

The number of bus riders is 3.5 times the number of walkers.

6 0

3 years ago

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Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 144 millimeters,

kkurt [141]

Answer:

0.0524 = 5.24% probability that the sample mean would differ from the population mean by more than 2 millimeters.

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 normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean diameter of 144 millimeters, and a variance of 49.

This means that $\mu = 144, \sigma = \sqrt{49} = 7$

Sample of 46:

This means that $n = 46, s = \frac{7}{\sqrt{46}}$

Wat is the probability that the sample mean would differ from the population mean by more than 2 millimeters?

Above 144 + 2 = 146 or below 144 - 2 = 142. Since the normal distribution is symmetric, these probabilities are equal, which means that we find one of them and multiply by two.

Probability the sample mean is below 142:

p-value of Z when X = 142, so:

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

By the Central Limit Theorem

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