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3 years ago

How do you write an equation in slope intercept form for (-8.5,6.75), (3.33,-9.75)

1 answer:

8 0

M = y2 - y1 / x2 - x1
= - 9.75 - 6.75 / 3.33 - ( -8.5 )
= - 16.5 / 11.83

=> y= - 16.5 / 11.83x +b
6.75 = - 16.5 / 11.83 ( -8.5) +b
6.75 = 11.86 +b
=> b = - 5.11

Answer : y= - 16.5 / 11.83x - 5.11

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A.The probability that exactly six of Nate's dates are women who prefer surgeons is 0.183.

B. The probability that at least 10 of Nate's dates are women who prefer surgeons is 0.0713.

C. The expected value of X is 6.75, and the standard deviation of X is 2.17.

Step-by-step explanation:

The appropiate distribution to us in this model is the binomial distribution, as there is a sample size of n=25 "trials" with probability p=0.25 of success.

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$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{25}{k} 0.25^{k} 0.75^{25-k}\\\\\\$

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B. P(x≥10)

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$P(x=7) = \dbinom{25}{7} p^{7}(1-p)^{18}=480700*0.000061*0.005638=0.1654\\\\\\P(x=8) = \dbinom{25}{8} p^{8}(1-p)^{17}=1081575*0.000015*0.007517=0.1241\\\\\\P(x=9) = \dbinom{25}{9} p^{9}(1-p)^{16}=2042975*0.000004*0.010023=0.0781\\\\\\$

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