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Natalka [10]
3 years ago
9

AP Statistics

Mathematics
1 answer:
Ksivusya [100]3 years ago
5 0

A) For this problem, we will need to use a normal calculation, in that we find the z-score and the area to the right using Table A.

z = (10 - 7.65) / 1.45

z = 1.62

area to the left for a z-score of 1.62 = 0.9474

area to the right for a z-score of 1.62 = 0.0526

The probability that a randomly selected ornament will cost more than $10 is 0.0526 or 5.26%.

B) For this problem, we will use the binomial probability formula since the problem is asking for the probability that exactly 3 ornaments cost over $10. There are two forms of this equation. One is <em>nCr x p^r x q^n-r</em> and the other is <em>(n r) x p^r x (1 - p)^n-r</em>. I will show both formulas below.

8C3 x 0.0526^3 x 0.9474^5

(8 3) x 0.0526^3 x 0.9474^5

With both equations, the answer is the same. Whichever you are more familiar or comfortable with is the one I would recommend you use.

The probability that exactly 3 of the 8 ornaments cost over $10 is 0.00622 or 0.622%.

Hope this helps!! :)

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Yuliya22 [10]

Answer:

1/2

Step-by-step explanation:

Simple probability is a ratio of the number of ways the thing we want to happen can to the total possible outcomes.

(For example, we flip a coin and want heads, but it can land on heads or tails. Our probability of getting heads is 1/2, one way to get heads over the 2 possible outcomes)

So for this problem, there's  20 possible things that CAN happen (3 + 7 + 10) and 10 ways we get what we want (a green marble).

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Determine if (-1,9) and (-2,6) are solutions to the system of equations: x + y = 8 x2 + y = 10 A) Both are solutions B) Neither
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Answer:

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Step-by-step explanation:

x+y =8

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Lets check the first point (-1,9)

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This works

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This works

Lets check the second point (-2,6)

Put in x =-2 y =6

x+y =8

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This  does not work

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