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2 years ago

Which equation correctly represents the line graphed below?

Mathematics

1 answer:

Galina-37 [17]2 years ago

6 0

Answer:

C. y=3/2 x + 12

Step-by-step explanation:

lets find slope,

fr that first lets point out some coordinates passing the line: ( 0, 12 ), ( 2,15 )

now find slope using the equation : y -y1/ x - x1

= 15 - 12 / 2 -0 = 3/2

use any coordinates now to find the equation of line using formula:

y - y1 = m ( x - x1 )

y - 12 = 3/2 ( x - 0 )

y -12 = 3/2 x - 0

y = 3/2 x + 12

Therefore, y = 3/2 x + 12 is the equation of the line.

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Solve for t 4/3 = t/7

Mumz [18]

Answer:

$\frac{28}{3}=t$

Step-by-step explanation:

$\frac{4}{3}=\frac{t}{7}$

Use cross products to simplify the equation. Multiply the denominator of the second fraction by the numerator of the first fraction, and the denominator of the first fraction by the numerator of the second,

$(4)(7) = (3)(t)$

Simplify,

$28=3t$

Inverse operations,

$\frac{28}{3}=t$

4 0

2 years ago

A survey of 80 randomly selected companies asked them to report the annual income of their presidents. Assuming that incomes are

Artyom0805 [142]

Answer:

The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

Step-by-step explanation:

The information provided is:

$n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%$

The critical value of z for 90% confidence level is, 1.645.

Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)$

Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.

4 0

2 years ago

11. A dog is 9.5 meters from the base of a tree. It looks up at an angle of 40° and spots

ASHA 777 [7]

Answer: 10.0 I'm sure

4 0

3 years ago

A player on a school baseball team reaches first base 3/10 of the time he is at bat.Out of 80 times at bat,about how many times

Cerrena [4.2K]

Set up a proportion: 3/10= x/80. Then if you multiply 10 by 8, you get 80 on both sides, But, If you do it to the top, you also have to do it to the bottom, so the anser is 3 x 8 , or 24.

3 0

2 years ago

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The ratio of length to width in a rectangle is 3 to 1. If the perimeter of the rectangle is 136 feet, what is the length of the

Goshia [24]

Add the ratios 3:1 = 4
divide perimeter 128 by 4 = 32
multiply this by each ratio so 3:1 becomes 96length:32width
remember there are two lengths and two widths in the perimeter so divide by 2 to find the length = 48

8 0

2 years ago

Read 2 more answers