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Vesna [10]
4 years ago
6

Write an equation in slope-intercept form using the two points

Mathematics
1 answer:
puteri [66]4 years ago
8 0
To find the slope you want to use the formula:

m = y2–y1/x2–x1
m = (3–1)/(-5–1)
m = 2/-6

To find the y-intercept:
Substitute the y part of the point and solve for b

Y = mx + b
1 = (2/-6) + b
1–(2/-6) = (2/-6) – (2/-6) + b
4/3 = b

Slope-intercept form is:
Substitute in slope and y-intercept

Y = mx + b
Y = 2/-6x + 4/3
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Read 2 more answers
A baseball player has a batting average of 0.25. What is the probability that he has exactly 2 hits in his next 7 at bats
marissa [1.9K]

Answer:

The probability that he has exactly 2 hits in his next 7 at-bats is 0.3115.

Step-by-step explanation:

We are given that a baseball player has a batting average of 0.25 and we have to find the probability that he has exactly 2 hits in his next 7 at-bats.

Let X = <u><em>Number of hits made by a baseball player</em></u>

The above situation can be represented through binomial distribution;

P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,......

where, n = number of trials (samples) taken = 7 at-bats

            r = number of success = exactly 2 hits

            p = probability of success which in our question is batting average

                   of a baseball player, i.e; p = 0.25

SO, X ~ Binom(n = 7, p = 0.25)

Now, the probability that he has exactly 2 hits in his next 7 at-bats is given by = P(X = 2)

          P(X = 2) =  \binom{7}{2}\times 0.25^{2} \times (1-0.25)^{7-2}

                        =  21 \times 0.25^{2} \times 0.75^{5}

                        =  <u>0.3115</u>

5 0
4 years ago
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