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Fiesta28 [93]
2 years ago
12

What is the slope of the line that passes through the points (5, -11) and (-9, 17)?

Mathematics
1 answer:
Sergeeva-Olga [200]2 years ago
8 0

Answer:

A

Step-by-step explanation:

The formula for the slope of the line is:

m = \frac{y_{1}-y_{2}}{x_{1}-x_{2}}

Assuming that y1 is 17, y2 is -11, x1 is -9 and x2 is 5, we can plug it in the equation:

m={17-(-11)}/{-9-5}

m=28/-14

m=-2

Therefore, A

<em>I hope this helps! :)</em>

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The commercial for the new Meat Man Barbecue claims that it takes 10 minutes for assembly. A consumer advocate thinks that the c
Andrews [41]

Answer:

There is enough evidence to make the conclusion that the population mean amount of time to assemble the Meat Man barbecue is not equal to 10 minutes (P-value=0.009).

Step-by-step explanation:

We have to perform an hypothesis test on the mean.

The null and alternative hypothesis are:

H_0: \mu=10\\\\H_1: \mu \neq 10

The significance level is \alpha=0.05.

The test statistic t can be calculated as:

t=\frac{M-\mu}{s/\sqrt{N} } =\frac{11.2-10}{3.1/\sqrt{50} }=2.737

The degrees of freedom are:

df=N-1=50-1=49

The P-value (two-tailed test) for t=2.737 and df=49 is P=0.00862.

This P-value (0.009) is smaller than the significance level, so the effect is significant. The null hypothesis is rejected.

There is enough evidence to make the conclusion that the population mean amount of time to assemble the Meat Man barbecue is not equal to 10 minutes.

7 0
3 years ago
The equation (2x^2 - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2) is an example
Nookie1986 [14]

The method used is Distributive Property.

<h3>What is Distributive property?</h3>

The Distributive Property is an algebraic property that is used to multiply a single value and two or more values within a set of parenthesis.

Given:

(2x² - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2)

Here the property used is Distributive property.

Because distributive property in this way

a*(b+c)= a*b+ a*c

This is how a is being multiplied by with b and c.

Learn more about this Distributive property here:

brainly.com/question/4136433

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8 0
1 year ago
Find an equation for the line that passes through the points (-5,-3) and (1,-1)
Hatshy [7]

Answer:

y = 1/3x - 4/3

Step-by-step explanation:

slope is change in y over the change in x

-1 +3/ 1+5= 2/6= 1/3

y+1 = 1/3(x-1)

y + 1 = 1/3x - 1/3

y = 1/3x - 4/3

5 0
2 years ago
A 4-cup bottle of vegetable oil costs 2.80. What is the price per pint
german

Answer:

$1.40 per pint

Step-by-step explanation:

4 cups is the same as 2 pints.

If 2 pints cost $2.80

divide $2.80 by 2

and get $1.40 per pint

8 0
2 years ago
What is the longest line segment that can be drawn in a right rectangular prism that is 15cm​ long, 13cm​ wide, and 8cm​ tall?
Effectus [21]

Answer:

15cm long

Step-by-step explanation:

8 0
2 years ago
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