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3 years ago

Points (1,3), (-4,7), and (-29,K) are collinear. Find K. How do i solve this?

1 answer:

3 0

Co linear points have same slope
Points (1,3), (-4,7), and (-29,K)
m1,2=7-3/-4-1=-4/5

m2,3=K-7/-29+4
m2,3=K-7/-25

-4/5=K-7/-25
4/5=K-7/25
4=K-7/5
20=K-7
K=27

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3 years ago

Question #1

alukav5142 [94]

Answer:

x = sandwiches
y = wraps
y = -3/4x +420
y-intercept = 420
m = -3/4

Step-by-step explanation:

This is a reading comprehension question. The problem statement tells you ...

"x number of sandwiches" and "y number of wraps."

You should be able to deduce that ...

x represents the number of sandwiches

y represents the number of wraps

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The equation 3x+4y=1680 is put into slope-intercept form by solving for y.

4y = -3x +1680 . . . . . subtract 3x

y = (-3/4)x + 420 . . . .divide by 4

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y-intercept = 420

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3 years ago

1 and 1/2 - 5/8 pls help me now

Alenkinab [10]

I got u bud!

1 1/2-5/8= 7/8

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5 0

4 years ago

Read 2 more answers

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Anestetic [448]

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Step-by-step explanation:

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3 years ago

For each of the following binomial random variables, specify n and p. (a) A fair die is rolled 50 times. X = number of times a 5

Keith_Richards [23]

Answer:

a) $n = 50, p = \frac{1}{6}$

b) $n = 16, p = \frac{1}{100}$

c) $n = 26, p = 0.25, \mu = 6.5$

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

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

And $p$ is the probability of X happening.

(a) A fair die is rolled 50 times. X = number of times a 5 is rolled

The die is rolled 50 times, so $n = 50$ .

Each roll can have 6 outcomes. So the probability that 5 is rolled is $p = \frac{1}{6}$

(b) A company puts a game card in each box of cereal and 1/100 of them are winners. You buy sixteen boxes of cereal, and X = number of times you win.

You buy 16 boxes of cereal, so $n = 16$ .

1 of 100 are winners. So $p = \frac{1}{100}$ .

(c) Jack likes to play computer solitaire and wins about 25% of the time. X = number of games he wins out of his next 26 games.

He plays 26 games, so $n = 26$ .

He wins 25% of the time, so $p = 0.25$

We have that $\mu = np$ . So $\mu = 26*0.25 = 6.5$

6 0

4 years ago