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3 years ago

What is the slope of the line parallel to 3x + y = 12?

Mathematics

2 answers:

Doss [256]3 years ago

8 0

Answer:

slope = -3

Step-by-step explanation:

1) Rearrange eqn into slope intercept form

slope intercept form: y = mx + b

where...

m = the slope

b = the y-intercept (where the line crosses the y axis)

3x + y = 12

y = -3x+12

2) Know parallel rule. A line that runs parallel has the same slope but a different y-intercept

So the slope is: -3

Molodets [167]3 years ago

8 0

Slope is -3 hope this helps :)

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The caffeine content (in mg) was examined for a random sample of 50 cups of black coffee dispensed by a new machine. The mean an

Genrish500 [490]

Answer:

We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 mg .

Step-by-step explanation:

Given -

The sample size is large then we can use central limit theorem

n = 50 ,

Standard deviation $(\sigma)$ = 7.1

Mean $\overline{(y)}$ = 110

$\alpha =$ 1 - confidence interval = 1 - .98 = .02

$z_{\frac{\alpha}{2}}$ = 2.33

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= $110\pm 2.33\frac{7.1}\sqrt{50}$

First we take + sign

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We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 .

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3 years ago

Joe made a scale drawing of the community pool in his town. the pool has a perimeter of 77 meters, what is the length and width

viva [34]

Answer:

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Step-by-step explanation:

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3 years ago

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wariber [46]

Answer:

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Step-by-step explanation:

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2 years ago

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lesantik [10]

Hello,

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$

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3 years ago