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3 years ago

Determine the slope for a line that passes through points (2,5) and (3, 1).

Mathematics

1 answer:

xxMikexx [17]3 years ago

3 0

Answer: -4

Step-by-step explanation:

To find the slope, you want to use the formula $m=\frac{y_2-y_1}{x_2-x_1}$ .

$m=\frac{1-5}{3-2} =\frac{-4}{1}=-4$

Now, we know the slope is -4.

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1 At the post office 55% of the packages ship as priority mail. If 160 packages are

ziro4ka [17]

Answer:

Step-by-step explanation:

45% did not get shiped so 160*.45=72

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3 years ago

The average weight of the entire batch of the boxes of cereal filled today was 20.5 ounces. A random sample of four boxes was se

zhenek [66]

Answer:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s= 0.286$

And then the estimator for the standard error is given by:

$SE= \frac{0.286}{\sqrt{4}}= 0.143$

Step-by-step explanation:

For this case we have the following dataset given:

20.05, 20.56, 20.72, and 20.43

We can assume that the distribution for the sample mean is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error for this case would be:

$SE= \frac{\sigma}{\sqrt{n}}$

And we can estimate the deviation with the sample deviation:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s= 0.286$

And then the estimator for the standard error is given by:

$SE= \frac{0.286}{\sqrt{4}}= 0.143$

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3 years ago

Jamie drives to the dance to pick up his younger brother Mike. Because of the dance's

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Answer:

Because of traffic, she averaged only 15 miles per hour on the way there but ... If the total travel time was 2 hours how long does it take her to drive to ...

Step-by-step explanation:

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3 years ago

PLS HELP! GIVING BRAINLIST!

svlad2 [7]

Answer:

We conclude that (4, 2) is NOT a solution to the system of equations.

Step-by-step explanation:

Given the system of equations

$y = x - 2$

$y = 3x + 4$

Important Tip:

In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.

Let us solve the system of equations using the elimination method.

$\begin{bmatrix}y=x-2\\ y=3x+4\end{bmatrix}$

Arrange equation variables for elimination

$\begin{bmatrix}y-x=-2\\ y-3x=4\end{bmatrix}$

Subtract the equations

$y-3x=4$

$-$

$\underline{y-x=-2}$

$-2x=6$

Now, solve -2x = 6 for x

$-2x=6$

Divide both sides by -2

$\frac{-2x}{-2}=\frac{6}{-2}$

Simplify

$x=-3$

For y - x = -2 plug in x = -3

$y-\left(-3\right)=-2$

$y+3=-2$

Subtract 3 from both sides

$y+3-3=-2-3$

Simplify

$y=-5$

The solution to the system of equations is:

(x, y) = (-3, -5)

Checking the graph

From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.

Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.

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3 years ago

How to describe an inequality in your own words

emmasim [6.3K]

An inequality: a number sentence with ≤, ≥, <, >, = or ≠
≤ means: "less than or equal to"
≥ means: "greater than or equal to"
< means: "less than"
> means: "greater than"
≠ means: "not equal to"
= means: "equals"

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3 years ago