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2 years ago

Write the equation of a line with a slope of -7/2 passing through the point 2,-4

Mathematics

1 answer:

fiasKO [112]2 years ago

5 0

Answer:

y = -7/2x+3

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -7/2 x+b

Substitute the point into the equation

-4 = -7/2(2) +b

-4 = -7+b

Solving for b

-4+7 = -7+b+7

3 = b

The equation is y = -7/2x+3

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Earl runs 75 meters in 30 seconds. How many meters does Earl run per second?

enyata [817]

Average speed: distance traveled/elapsed time

= 75/30

= 2.5 meters per second.

Best of Luck!

5 0

2 years ago

Suppose that an airline uses a seat width of 16.5 in. Assume men have hip breadths that are normally distributed with a mean of

Alexxx [7]

Answer:

a) 0.018

b) 0

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 14.4 in

Standard Deviation, σ = 1 in

We are given that the distribution of breadths is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(breadth will be greater than 16.5 in)

P(x > 16.5)

$P( x > 16.5) = P( z > \displaystyle\frac{16.5 - 14.4}{1}) = P(z > 2.1)$

$= 1 - P(z \leq 2.1)$

Calculation the value from standard normal z table, we have,

$P(x > 16.5) = 1 - 0.982 = 0.018 = 1.8\%$

0.018 is the probability that if an individual man is randomly selected, his hip breadth will be greater than 16.5 in.

b) P( with 123 randomly selected men, these men have a mean hip breadth greater than 16.5 in)

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

P(x > 16.5)

$P( x > 16.5) = P( z > \displaystyle\frac{16.5-14.4}{\frac{1}{\sqrt{123}}}) = P(z > 23.29)$

$= 1 - P(z \leq 23.29)$

Calculation the value from standard normal z table, we have,

$P(x > 16.5) = 1 - 1 = 0$

There is 0 probability that 123 randomly selected men have a mean hip breadth greater than 16.5 in

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3 years ago

What is the volume of the pyramid to the nearest whole unit?

katovenus [111]

Answer:

Step-by-step explanation:

V= lwh/3

V= ((6)(11)(6))/3

V= 132 yd^3

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2 years ago

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PLEASE HELP ASAP! The interior angles of a triangle have measures 100°,(4y+25)degrees and (3y+20) degrees. What is the value of

erastova [34]

100°+(4y+25)+(3y+20)=180°

100+4y+25+3y+20=180

7y+145=180

7y=35

y=5

100°; 45°; 35°

7 0

2 years ago

A linear function has a slope of 7, and when x is 3, the value for y is 22. Use a graph or a table to figure out the equation of

Alex787 [66]

When you are given a point (x1,y1) and slope m the equation is
y-y1=m(x-x1)

given
slope=7
(x,y)
(3,22)
x1=3
y1=22

y-22=7(x-3) is the equation or
y=7x+1

8 0

3 years ago

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