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Dovator [93]
3 years ago
13

Slope of (-4, 1) and ( 2, 1)

Mathematics
1 answer:
fredd [130]3 years ago
6 0

Answer:

Check explanation

Step-by-step explanation:

I think that you might be missing a negative in one of your values because it comes out to 0 if you put both y's as 1...

m = (y2 - y1) / (x2 - x1)

m = (1 - 1) / (2 - (-4) )

m = 0 / 6

m = 0

but if one of the ones is negative then it would be

m = (y2 - y1) / (x2 - x1)

m = (1 - (-1)) / (2 - (-4) )

m = 2 / 6

m = 1 / 3

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3 years ago
According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mou
Margarita [4]

Answer:

a.  P(X=8)=0.0277

b.  P(X<4)=0.3460

c. No. P(X<8)=0.9605

Step-by-step explanation:

a. Let x denote the event.

This is a binomial probability distribution problem expressed as

P(X=x)={n\choose x}p^x(1-p)^{n-x}

Where

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  • p is the probability of a success
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Given that n=16, p=0.267, the probability of exactly 8 people not covering their mouths is calculated as:

P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\\\P(X=8)={16\choose 8}0.267^8(1-0.267)^8\\\\\\=0.0277

Hence, the probability of exactly 8 people not covering their mouths is 0.0277

b. The probability of fewer than 4 people covering their mouths is calculated as:

-We calculate and sum the probabilities of exactly 0 to exactly 3:

P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X

Hence, the probability of x<4 is 0.3460

c. Would you be surprised if fewer than half covered their mouths:

The probability  of fewer than half covering their mouths is calculated as:

P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X

No. The probability of fewer than half is 0.9605 or 96.05%. This a particularly high probability that erases any chance of doubt or surprise.

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Solve x^2+2x+1=0 by graphing
klio [65]
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