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beks73 [17]
3 years ago
7

if I have a binomial distribution where n equals 8 trials and a probability of success equals 0.40 what is the successes of X is

exactly 2
Mathematics
1 answer:
dlinn [17]3 years ago
5 0
P(success) = 0.4   P(failure) = 0.6

8C2 (0.4)² * (0.6)^6

P(2 success) =0.290
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What is the beat estimate for the quotient? 591.3 device by 29
Sedbober [7]
Hi there!

To estimate, we can round:

591.3 is approximately 600
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Now, we divide:

600 / 30 = 20

Hope this helps!
6 0
4 years ago
Find a and b so that f(x) = x^3 + ax^2 + b will have a critical point at (2,3).
Digiron [165]

Using the critical point concept, it is found that a = -3 and b = 7.

<h3>What are the critical points of a function?</h3>
  • The critical points of a function are the values of x for which:

f^{\prime}(x) = 0

In this problem, the function is:

f(x) = x^3 + ax^2 + b

Hence, the derivative is:

f^{\prime}(x) = 3x^2 + 2ax

Then:

f^{\prime}(x) = 0

3x^2 + 2ax = 0

x(3x + 2a) = 0

x = 0

3x + 2a = 0

3x = -2a

x = -\frac{2a}{3}

Since the critical point is at x = 2, we have that:

-\frac{2a}{3} = 2

-2a = 6

2a = -6

a = -3

Then:

f(x) = x^3 - 3x^2 + b

Critical point at (2,3) means that when x = 2, y = 3, then:

3 = 2^3 - 3(2)^2 + b

8 - 12 + b = 3

b = 7

You can learn more about the critical point concept at brainly.com/question/2256078

4 0
2 years ago
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ololo11 [35]
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3 years ago
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3 years ago
Find the value of x.
Sonbull [250]

Answer:

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