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3 years ago

Passes through (-8, 3) and (8, -1).

Mathematics

1 answer:

lawyer [7]3 years ago

5 0

Answer:

Slope = Y2 -Y1 / X2 - X1

Slope = -1 -3 / 8 --8

Slope = -4 / 16

Slope = -1 / 4

To calculate the equation we fill in this equation:

(y - y1) = slope • (x -x1)

We only need to choose 1 point so we'll choose (-8, 3)

(y - 3) = -1 / 4 * (x --8)

So the Equation equals

y = -1 / 4 x -2 + 3

y = -1 / 4x +1

Source:

http://www.1728.org/distance.htm

Step-by-step explanation:

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notsponge [240]

Answer:

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Step-by-step explanation:

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3 years ago

Given that z is a standard normal random variable, compute the following probabilities: a. P(z ≤ −1) b. P(z > .95) c. P(z ≥ −

serg [7]

Answer:

Step-by-step explanation:

Given that Z is a standard normal variate.

We are to calculate the probabilities as given

F(z) represents the cumulative probability i.e. P(Z<z)

a. P(z ≤ −1)

=F(-1)

= 0.158655

b. P(z > .95)

= 1-F(0.95)

= 0.1711

c. P(z ≥ −1.5)

= 1-F(-1.5)

= 0.9332

d. P(−.5 ≤ z ≤ 1.75)

=F(1.75)-F(-0.5)

= 0.6514

e. P(1 < z ≤ 3)

=F(3)-F(1)

=0.1573

8 0

4 years ago

What decimal is being represented by the decimal grid?

denis-greek [22]

Answer:

232

Step-by-step explanation:

232, because each has 100 squares so if you add the 2 filled squares you will get 200. Then if you count the last one only 32 is filled, when u add it it gives you 232

3 0

2 years ago

The amount of money that is left in a medical savings account is expressed by the equation y = negative 24 x + 379, where x repr

klio [65]

Answer: 13 weeks

Step-by-step explanation:

y = -24x + 379

67 = -24x + 379

24x = 379 - 67

x = 312 / 24

x = 13

4 0

4 years ago

Read 2 more answers

Jeff bicycles 126 miles at the rate of r mph. The same trip would have taken 2 hours longer if he had decreased his speed by 4 m

weqwewe [10]

Given Information:

Distance = 160 miles

Required Information:

Rate = r = ?

Answer:

Rate = r = 20 mph

Step-by-step explanation:

Recall that the rate is given by

Rate = distance/time

$r = \frac{d}{t} \\\\t = \frac{d}{r} \\\\t = \frac{160}{r} \\\\$

It is given that the same trip would have taken 2 hours longer if he had decreased his speed by 4 mph.

Mathematically,

$\frac{160}{(r-4)} = \frac{160}{r} + 2 \\\\$

Simplify the equation

$\frac{160}{(r-4)} - \frac{160}{r} = 2 \\\\\frac{160r - 160(r-4)}{r(r-4)} = 2 \\\\\frac{160r - 160r+640)}{r(r-4)} = 2 \\\\160r - 160r+640 = r(r-4) (2) \\\\640 = r(r-4) (2) \\\\640 = (r^2 - 4r) (2) \\\\640 = 2r^2 - 8r \\\\2r^2 - 8r-640 =0 \\\\2(r^2 - 4r-320) =0 \\\\r^2 - 4r-320 =0 \\\\$