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3 years ago

What is an equation of the the line that passes through the point (3,6)and is parallel to the line 4x-3y=21

Mathematics

1 answer:

disa [49]3 years ago

7 0

Answer:

y=4x/3+9/3

Step-by-step explanation:

slop is 4x/3

and the point is 3,6

so y-6 = 4x/3(x-3)

sove the you will have y=4x/3+9/3

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What is the slope of the line that passes through the points (3,-2) and (9,-2)?

djyliett [7]

Answer:

Step-by-step explanation:

slope= (y2-y1)/(x2-x1)

= [-2-(-2)]/[9-3]

=[-2+2]/6

=0/6

Hope it helps:)

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3 years ago

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Arthur took out a $12,000 personal loan. The monthly payments 0/

Brrunno [24]

Answer:

Answer C, Arthur will pay about $918 less in interest if he chooses the 3-year loan.

Step-by-step explanation:

(370.53 x 12) x 3 = 13,339.08

(237.61 x 12) x 5 = 14,256.60

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3 years ago

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3 years ago

Complete the congruence statement for the figure shown. If the triangles cannot be shown congruent, type na in each blank.

Serjik [45]

Answer:

ΔABC≅ΔDEF by AAS (Angle-Angle-Side) Theorem

Step-by-step explanation:

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3 years ago

A fast food restaurant executive wishes to know how many fast food meals teenagers eat each week. They want to construct a 99% c

Lana71 [14]

Answer:

The minimum sample size required to create the specified confidence interval is 2229.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

What is the minimum sample size required to create the specified confidence interval

This is n when $M = 0.06, \sigma = 1.1$

$0.06 = 2.575*\frac{1.1}{\sqrt{n}}$

$0.06\sqrt{n} = 2.575*1.1$

$\sqrt{n} = \frac{2.575*1.1}{0.06}$

$(\sqrt{n})^{2} = (\frac{2.575*1.1}{0.06})^{2}$

$n = 2228.6$

Rounding up

The minimum sample size required to create the specified confidence interval is 2229.

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3 years ago