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3 years ago

.Write the equation of the line that passes through (5,0) and is perpendicular to the line y = 5x + 55.

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

6 0

Answer:

y=-1/5 x+c

0=-1/5(5)+c

0=-1+c

1=c

y=-1/5x+1

Step-by-step explanation:

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You are curious about the average number of yards Matthew Stafford throws for each game for the Detroit Lions. You randomly sele

Damm [24]

Answer:

The margin of error for this estimate is of 14.79 yards per game.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.093

The margin of error is:

$M = T\frac{s}{\sqrt{n}}$

In which s is the standard deviation of the sample and n is the size of the sample.

You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.

This means that $n = 20, s = 31.61$

What is the margin of error for this estimate?

$M = T\frac{s}{\sqrt{n}}$

$M = 2.093\frac{31.61}{\sqrt{20}}$

$M = 14.79$

The margin of error for this estimate is of 14.79 yards per game.

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3 years ago

Slope= -1/2 Line passes through the point (9,8). Write equation with point slope form

irina1246 [14]

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3 years ago

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andre [41]

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8 0

3 years ago

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Write the equation of the circle whose center is (-5, -8) with diameter 12

lora16 [44]

Answer:

(x + 5)^2 + (y + 8)^2 = 6^2

Step-by-step explanation:

A circle formula: (x - h)^2 + (y - k)^2 = r^2

We are given diameter. To find the radius divide diameter by 2.

d = 12

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I have plot this equation to confirm my answer is correct where the origin is (-5 , -8) and has a radius of 6.

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2 years ago

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 54:32 Because the lid of a marker is wider than the marker itself, a set of markers can be p

tia_tia [17]

Answer:

10 Square Inches

Step-by-step explanation:

Trapezoid

Base =12 inches

Height =10 inches

Top side= 10 inches.

Area of a Trapezoid $=\frac{1}{2}(a+b)h, $where a and b are the lengths of the base and top respectively$$

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Area of the Trapezoid=110 Square Inches

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Base = 12 inches

Height =10 inches.

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=120-110

=10 Square Inches

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3 years ago

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.Write the equation of the line that passes through (5,0) and is perpendicular to the line y = 5x + 55.​

.Write the equation of the line that passes through (5,0) and is perpendicular to the line y = 5x + 55.