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2 years ago

What is the equation in point-slope form of a line that passes through the points (5, −3)(5, −3) and (−2, 9)(−2, 9) ?

1 answer:

5 0

Point sloe is
y-y1=m(x-x1)
slope=m
a ponint is (x1,y1)

slope=(y2-y1)/(x2-x1)
(x,y)
(5,-3)
(-2,9)
slope=(9-(-3))/(-2-5)=12/-7=-12/7
m=-12/7

a point is (5,-3)
x1=5
y=-3
y-(-3)=-12/7(x-5)
y+3=-12/7(x-5)

2nd one

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2 years ago

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3 years ago

The number of nails of a given length is normally distributed with a mean length of 5 in and a standard deviation of 0.03 find t

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19 nails

Step-by-step explanation:

Let's first determine the z-score by using the formula:

$z=\frac{x-\mu}{\sigma}$

Where x=5.03, μ=5, σ=0.03 and so:

$z=\frac{5.03-5}{0.03}=1$

We can now use a z-score table to determine that 1.00 is synonymous with 0.8413 meaning 84.13%. This means that 84.13% of the nails are less than or equal to 5.03 inches long. Therefore, since we know 100% = 1 in decimals we can determine that the length greater than 5.03 inches is 1-0.8413=0.1587. This means that 15.87% of the 120 nails are greater than 5.03 inches long.

Finally, we can determine how many nails are greater than 5.03 by determining what is 15.87% of 120 which is:

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3 years ago

Expand the binomial using Pascal's triangle<br> (3x+5)

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Answer:

Step-by-step explanation:

0. 1

1. 1 1

2. 1 2 1

3. 1 3 3 1

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3 years ago