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Doss [256]
3 years ago
6

Write an equation in slope-intercept form for the line with slope -3/4 and y intercept -3

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
7 0
Slope intercept form is simply
y = mx + b

where y and x are the things we see on the graph
m is the slope
and b is the y-intercept

the y-intercept is just what y is equal to when x is 0, so right at the middle of the graph.

so just go ahead and if in!

y =  -  \frac{3}{4} x - 3
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Answer:

38.22% probability that of 10 randomly selected students, lessthan four will be between 900 and 1,100

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they score between 900 and 1,100, or they score outside this range. The probability of a student scoring between 900 and 1,100 is independent from other students. So we use the binomial probability distribution 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.

About 40 percent of these students’ scores were between 900 and 1,100.

This means that p = 0.4.

a)Based on this estimate, what is the probability that of 10 randomly selected students, lessthan four will be between 900 and 1,100?

This is P(X < 4) when n = 10. So

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

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

P(X = 0) = C_{10,0}.(0.4)^{0}.(0.6)^{10} = 0.0060

P(X = 1) = C_{10,1}.(0.4)^{1}.(0.6)^{9} = 0.0403

P(X = 2) = C_{10,2}.(0.4)^{2}.(0.6)^{8} = 0.1209

P(X = 3) = C_{10,3}.(0.4)^{3}.(0.6)^{7} = 0.2150

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0060 + 0.0403 + 0.1209 + 0.2150 = 0.3822

38.22% probability that of 10 randomly selected students, lessthan four will be between 900 and 1,100

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4 years ago
How are the graphs of the functions y=x+7 and y=x-5 related?
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They have the same slope, but different y-intercepts, making them parallel.

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