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3 years ago

If f(x) = x 2 + 1 and g(x) = 3x + 1, find [f(2)-g(1)] 2. 1 2 9

1 answer:

8 0

Put the argument value where the variable is, then evaluate.
For f(x), you want f(2).
f(2) = 2² + 1 = 4+1 = 5

For g(x), you want g(1).
g(1) = 3·1 +1 = 4

For [f(2) - g(1)] you want the difference of the above values.
[f(2) - g(1)] = [5 - 4] = 1

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"a pollster wishes to estimate the number of left-handed scientists. how large of a sample is needed in order to be 98% confiden

nadezda [96]

The sample size should be 250.

Our margin of error is 4%, or 0.04. We use the formula

$\text{ME}=z\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

To find the z-score:
Convert 98% to a decimal: 0.98
Subtract from 1: 1-0.98 = 0.02
Divide both sides by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value has a z-score of approximately 2.33. Using this, our margin of error and our proportion, we have:

$0.04=2.33\sqrt{\frac{0.08(1-0.08)}{n}}
\\
\\0.04=2.33\sqrt{\frac{0.08(0.92)}{n}}$

Divide both sides by 2.33:
$\frac{0.04}{2.33}=\sqrt{\frac{0.08(0.92)}{n}}$

Square both sides:
$(\frac{0.04}{2.33})^2=\frac{0.08(0.92)}{n}$

Multiply both sides by n:
$(\frac{0.04}{2.33})^2n=0.08(0.92)$

Divide both sides to isolate n:
$\frac{0.08(0.92)}{(\frac{0.04}{2.33})^2}=n
\\
\\249.73=n
\\n\approx 250$

4 0

3 years ago

Combine the like terms to simplify the expression. 9x^2+8y^2+4y^2-3x

Novay_Z [31]

what is question is (C)

7 0

3 years ago

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Bag contains 5 blue, 12 black, 6 red, and 7 green marbles. If one marble is chosen at random the probablity that it is NOT blue

Alex Ar [27]

Answer:

D. 5/6

Step-by-step explanation:

There are 30 marbles

If you add the black, red, and green marbles together, you get 25

25/30 is equivalent to 5/6

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2 years ago

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rewona [7]

Answer: a,b,d,e are all right beacuse they all relate to the question

Step-by-step explanation:

c how ever is no shown on the graph and is therefor wrong

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3 years ago

Create a word problem using addition<br> your problem should include tress grown in UAE

Alborosie

Answer:

Practice the worksheet on word problem on addition and subtraction.

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2 years ago

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