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enyata [817]
3 years ago
15

Given that f(x)=x^2-3x+3 and g(x)=x-1/4 slove for f(g(x)) when x=5

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
6 0
When x=5, f(g(x)) would be (x-1/4)^2 - 3(x-1/4) + 3 which when you plug 5 in for x, you get 11.3125 as an answer
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3 0
3 years ago
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Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw
iren2701 [21]

Answer:

(1) The correct option is (A).

(2) The probability that Aadi will get Tails is \frac{2}{5}.

Step-by-step explanation:

It is provided that:

  • Eric throws a biased coin 10 times. He gets 3 tails.
  • Sue throw the same coin 50 times. She gets 20 tails.

The probability of tail in both cases is:

  • P(\text{Tail})=\frac{3}{10}
  • P(\text{Tail})=\frac{20}{50}=\frac{2}{5}

(1)

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

In this case we need to compute the proportion of tails.

Then according to the Central limit theorem, Sue's estimate is best because she throws it <em>n = </em>50 > 30 times.

Thus, the correct option is (A).

(2)

As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:

P(\text{Tail})=\frac{20}{50}=\frac{2}{5}

Thus, the probability that Aadi will get Tails is \frac{2}{5}.

7 0
3 years ago
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Simplify to create an equivalent expression.<br> 8(10 - 6q) + 3(-7q- 2)<br> Choose 1 answer:
eduard
Answer: -69q+74

Step by step:
1. Use distributive property.

8⋅10+8(−6q) + 3(−7q − 2)

Multiply 8 • 10 then -6 • 8

80 - 48q + 3(-7q - 2)

2. Use distributive property again.

80 - 48q + 3(-7q - 2)

Multiply -7 • 3 then 3 • -2

80 - 48q -21q - 6

3. Simplify

Subtract 6 from 80 then subtract 21q from -48q.

-69q + 74


8(10 - 6q) + 3(-7q - 2) = -69q + 74
———
I hope this answers your question. :)

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If two angles are supplementary and one of them is 30°, what is the measurement of the second angle?
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