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2 years ago

Write an equation for each line.

Mathematics

1 answer:

Effectus [21]2 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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Choose the correct right-hand side to make the equation an identity.<br><br> cotx/secx=?

mojhsa [17]

Cot(x)sec(x) =
(cos(x)/sin(x))(1/cos(x))=
cos(x)/(sin(x)cos(x)) =
1/sin(x) =
csc(x)

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3 years ago

In how many ways can 7 people line if A needs to be first or last and B needs to be in the middle

12345 [234]

Answer:

<em>Assuming person A and person B are part of the 7 people</em>, there are 10 ways the 7 people can line up if A needs to be first or last and B needs to be in the middle.

Step-by-step explanation:

There are 2 places for A (first, last) and 5 places for B (anywhere but first or last). 2 x 5 = 10.

8 0

3 years ago

If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Alex17521 [72]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And for this case we want to find this probability:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

3 0

3 years ago

Read 2 more answers

Sally painted a picture that has an area of 480 square inches. The length of the painting is 1 1/5 as long as it is wide. What a

marishachu [46]

So Length * Width = 480 in. sq.
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w*w= 400
W²=400
square root of both sides
Width = 20 inches
Length= (1.2width) or (20*1.2)
Length=24 inches

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3 years ago

Which table represents a linear function?

horsena [70]

Answer:

Step-by-step explanation:

Do you have any answer choices for this or I can’t answer it

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3 years ago