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denis23 [38]
3 years ago
8

How many powers of 4 are in range of 4 through 1,000

Mathematics
1 answer:
vodomira [7]3 years ago
3 0

Only four of them.

4⁰ = 1 . . . too small

4¹ = 4
4² = 16
4³ = 64
4⁴ = 256

4⁵ = 1,024 . . . too big


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Express the recurring decimal 0.042 as a fraction in its simplest form.
rodikova [14]

Answer:

7/165

Step-by-step explanation:

This is a mixed recurring decimal (the zero is not repeating)

We take number after the decimal point     042

then we subtract  the non repeating.In this case is 0 so we not subtract anything

This will be the numerator  42

Now ,the denominator:

For each repeating decimal we write a 9 (in this case 2 nines)

For each non repeating decimal we write a zero

Denominator is 990

42/990  =  7/165

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Simplify. (-2)-3 -8 - 8 user: simplify. 6x-2
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US average math SAT scores follow a normal distribution with a mean of 505 and a standard deviation of 112. A sample of 64 enter
Hitman42 [59]

Answer:

The claim that the scores of UT students are less than the US average is wrong

Step-by-step explanation:

Given : Sample size = 64

           Standard deviation = 112

           Mean = 505

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To Find : Test the claim that the scores of UT students are less than the US average at the 0.05 level of significance.

Solution:

Sample size = 64

n > 30

So we will use z test

H_0:\mu \geq 477\\H_a:\mu < 477

Formula : z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

z=\frac{505-477}{\frac{112}{\sqrt{64}}}

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Refer the z table for p value

p value = 0.9772

α=0.05

p value > α

So, we accept the null hypothesis

Hence The claim that the scores of UT students are less than the US average is wrong

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