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VashaNatasha [74]
3 years ago
7

PLEASE SOLVE AND SHOW WORK Find the equation of the line that passes through the points (-1,-5) and (-7,-6) in slope intercept f

orm
Mathematics
1 answer:
Lynna [10]3 years ago
4 0
The way that you find this problem is to first find the slope, and then input one of your points into your equation to find b.
The slope-intercept form of a line is: y=mx+b, where m is the slope and b is the y-intercept.

To find the slope, you must use the following equation:
\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this equation, this would be equivalent to:\frac{-6-(-5)}{-7-(-1)} which, when simplified, is \frac{1}{6}. This is your slope.

To find the Y-intercept, you just plug all variables that you currently have solved for into the equation. You may use either point for the x and y variables, but you must use \frac{1}{6} for the m term.

-6 = (\frac{1}{6})(-7) + b leads to -6 = \frac{-7}{6} +b which leads to \frac{-29}{6} = b. You have now solved for the y-intercept and aare ready to form your final equation.

The final equation is:y=\frac{1}{6}x -\frac{29}{6}
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A farmer takes 1 week to fill 3 bins of squash. At this rate, how long will it take to fill 240 bins?
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Answer:

It will take 80 weeks to fill 240 bins full of squash.

Step-by-step explanation:

First we have to divide 3 by 240

3÷240=80

And Voila! That's our answer.

It will take 80 weeks to fill 240 bins full of squash.

Thanks! Mark me brainliest if this could help!

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Read 2 more answers
Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract
lisov135 [29]

Answer:

P(X = 0) = 0.03125

P(X = 1) = 0.15625

P(X = 2) = 0.3125

P(X = 3) = 0.3125

P(X = 4) = 0.15625

P(X = 5) = 0.03125

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which means that the binomial probability distribution is used to solve this question.

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 combinations 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.

Fair coin:

Equally as likely to be heads or tails, so p = 0.5

5 tosses:

This means that n = 5

Probability distribution:

Probability of each outcome, so:

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

P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125

P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625

P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125

P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125

P(X = 4) = C_{5,4}.(0.5)^{4}.(0.5)^{1} = 0.15625

P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125

5 0
2 years ago
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