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GenaCL600 [577]
3 years ago
10

What is the vertex of the graph of y = 3(x - 1)2 + 2?

Mathematics
1 answer:
kodGreya [7K]3 years ago
3 0

Answer:

0.5

Step-by-step explanation:

vertex point formula= -b/2a

3x-3+2

3/6=0.5

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Assume that the heights of boys in a high school basketball tournament are normally distributed, with mean 70 inches and standar
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Answer: 20

Step-by-step explanation:

We assume that the heights of boys in a high school basketball tournament are normally distributed.

Given : Mean height of boys : \mu=70 inches.

Standard deviation:  \sigma=2.5 inches.

Let x denotes the heights of boys in a high school basketball tournament .

Then the probability that a boy is taller than 70 inches will be :-

P(x> 70)=1-P(x\leq70)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{70-70}{2.5})\\\\=1-P(z\leq0)=1-0.5=0.5\ \ \text{[by using z-value table]}

Now, the expected number of boys in a group of 40 who are taller than 70 inches will be :-

40\times0.5=20

Hence, the expected number of boys in a group of 40 who are taller than 70 inches=20

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3 years ago
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