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slava [35]
2 years ago
9

Find the slope of the line that passes through (-64, -2) and (-29, 38).

Mathematics
1 answer:
ioda2 years ago
3 0
The slope
m = (y2 - y1)/(x2 - x1)
m = ( 38 - -2)/ (-29 - -64)
m = 40/35
simplify
m = 8/7

Hope this helps 
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Natasha_Volkova [10]

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2 years ago
The heights of North American women are nor-mally distributed with a mean of 64 inches and a standard deviation of 2 inches. a.
serious [3.7K]

Answer:

0.1587

Step-by-step explanation:

Given the following :

Mean (m) of distribution = 64 inches

Standard deviation (sd) of distribution = 2 inches

Probability that a randomly selected woman is taller than 66 inches

For a normal distribution :

Z - score = (x - mean) / standard deviation

Where x = 66

P(X > 66) = P( Z > (66 - 64) / 2)

P(X > 66) = P(Z > (2 /2)

P(X > 66) = P(Z > 1)

P(Z > 1) = 1 - P(Z ≤ 1)

P(Z ≤ 1) = 0.8413 ( from z distribution table)

1 - P(Z ≤ 1) = 1 - 0.8413

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3 years ago
The height of a rocket, launched from the ground, is given by the function y = 30t - 5t^2, where y is in meters and t is in seco
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Step-by-step explanation:

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What is the area of the parallelogram shown below in square units? 9 units 20 units
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Step-by-step explanation:

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Read 2 more answers
Prove that triangle with side lengths of x^2-1, 2x, x^2+1 is a right triangle.
Brrunno [24]
Right triangles must follow the pythagorean theorem, so a^2+b^2=c^2.

Let's find a^2 and b^2 by squaring the first 2 side lengths.

(x^2-1)^2= x^4-2x^2+1
(2x)^2= 4x^2

Then add the two to find c^2
x^4+ 2x^2 +1= c^2

Root both sides
x^2+1=c

Since the side lengths can be plugged into the pythagorean theorem, the side lengths must represent a right triangle.
Hope this helps!
7 0
2 years ago
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