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3 years ago

Write an equation for each line.

Mathematics

1 answer:

Effectus [21]3 years ago

3 0

Answer:

y = -x+2

Step-by-step explanation:

We know the y intercept is 2 ( where it crosses the y axis)

We know two points on the line

(0,2) and (2,0), so we can find the slope

m = ( y2-y1)/(x2-x1_

= (0-2)/(2-0)

= -2/2

= -1

The slope intercept form of the line is

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

y = -1x +2

y = -x+2

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The synthesis of a large collection of information that contains well-tested and verified hypotheses about certain aspects of th

djyliett [7]

Answer:

it's a B because it's the best answer for this quistion like they are saying IF I do this Then this should happen

6 0

3 years ago

A rectangular prism that has a length of 8 feet, width of 6 feet, and height of 12 feet. What is the volume of the prism? ft3

Lady bird [3.3K]

Answer:

The volume of the prism is 576 cubic feet

Step-by-step explanation:

Length of rectangular prism = 8 feet

Width of rectangular prism = 6 feet

Height of rectangular prism = 12 feet

Volume of rectangular prism = $Length \times Breadth \times Height$

Volume of rectangular prism = $8 \times 6 \times 12$

Volume of rectangular prism = $576 feet^3$

Hence the volume of the prism is 576 cubic feet

6 0

4 years ago

Read 2 more answers

Let f(x)=49 -x^2, g(x)=7-x. Find (f-g)(x)

Karolina [17]

F(x) = -x² + 49
g(x) = -x + 7

(f - g)(x) = (-x² + 49) - (-x + 7)
(f - g)(x) = (-x² + 49) + (x - 7)
(f - g)(x) = -x² + x + 49 - 7
(f - g)(x) = -x² + x + 42

5 0

3 years ago

Read 2 more answers

The shuttle bus from your parking lot and your office building operates on a 15 minute schedule. You arrive at the parking lot a

mylen [45]

Answer:

(a) The standard deviation of your waiting time is 4.33 minutes.

(b) The probability that you will have to wait more than 2 standard deviations is 0.4227.

Step-by-step explanation:

Let X = the waiting time for the bus at the parking lot.

The random variable X is uniformly distributed with parameters a = 0 to b = 15.

The probability density function of X is given as follows:

$f_{X}(x)=\frac{1}{b-a};\ a$

(a)

The standard deviation of a Uniformly distributed random variable is given by:

$SD=\sqrt{\frac{(b-a)^{2}}{12}}$

Compute the standard deviation of the random variable X as follows:

$SD=\sqrt{\frac{(b-a)^{2}}{12}}$

$=\sqrt{\frac{(15-0)^{2}}{12}}$

$=\sqrt{\frac{225}{12}}$

$=\sqrt{18.75}\\=4.33$

Thus, the standard deviation of your waiting time is 4.33 minutes.

(b)

The value representing 2 standard deviations is:

$X=2\times SD=2\times4.33=8.66$

Compute the value of P (X > 8.66) as follows:

$P(X>8.66)=\int\limits^{10}_{8.66} {\frac{1}{15-0}}\, dx\\$

$=\frac{1}{15}\times \int\limits^{10}_{8.66} {1}\, dx\\$

$=\frac{1}{15}\times |x|^{15}_{8.66}\\$

$=\frac{15-8.66}{15}\\$

$=0.4227$

Thus, the probability that you will have to wait more than 2 standard deviations is 0.4227.

4 0

3 years ago

Help!! Truth Table Thank you!!

34kurt

Answer:

Step-by-step explanation:

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3 years ago