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Snowcat [4.5K]
3 years ago
11

The vertex of this parabola is at (3,-2). When the x-value is 4, the y value is 3. What is the coefficient of the squared term i

n the parabola's equation?
Mathematics
1 answer:
bazaltina [42]3 years ago
6 0

Answer:

the coefficient of the squared expression is 5.

Step-by-step explanation:

the equation of a parabola in its vertex form is y=a(x-h)²+k, where (h, k) is the vertex of the parabola.

in this case, h=3, k=-2, so y=a(x-3)-2

plug (4,3) in the equation: 3=a(4-3)²-2, a=5

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where,

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r is the selected number of adults who believe in reincarnation

p is the of believing in reincarnation = 40% = 0.40

q is 1 – p = 0.60

 

a. What is the probability that exactly 66 of the selected adults believe in​ reincarnation?

So we use r = 66

 

P = [77! / (77 – 66)! 66!] 0.40^66 * 0.60^(77 – 66)

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P = [77! / (77 – 77)! 77!] 0.40^77 * 0.60^(77 – 77)

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So we use r = 66 to 77

 

P (r=66) = 1.32 x 10^-16

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P (r=68) = [77! / (77 – 68)! 68!] 0.40^68 * 0.60^(77 – 68) = 1.42 x 10^-18

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P (r=70) = [77! / (77 – 70)! 70!] 0.40^70 * 0.60^(77 – 70) = 9.38 x 10^-21

P (r=71) = [77! / (77 – 71)! 71!] 0.40^71 * 0.60^(77 – 71) = 6.17 x 10^-22

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P (r=76) = [77! / (77 – 76)! 76!] 0.40^76 * 0.60^(77 – 76) = 2.64 x 10^-29

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