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2 years ago

24+82 rounding or compatible numbers to estimate the sum

Mathematics

1 answer:

allsm [11]2 years ago

4 0

Answer:

106

Step-by-step explanation:

you take 82 and 24 and add them together so it would be like this 2 + 4 = 6 and 8 + 2 = 10 so the 8 is in a tens place so the answer from adding 8 + 2 = 100 because you in the tens place so the final answer would be 106 after adding it all up.

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How many women must be randomly selected to estimate the mean weight of women in one age group? We want 90% confidence that the

ki77a [65]

Answer:

155 women must be randomly selected.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The population standard deviation is known to be 28 lbs.

This means that $\sigma = 28$

We want 90% confidence that the sample mean is within 3.7 lbs of the populations mean. How many women must be sampled?

This is n for which M = 3.7. So

$M = z\frac{\sigma}{\sqrt{n}}$

$3.7 = 1.645\frac{28}{\sqrt{n}}$

$3.7\sqrt{n} = 1.645*28$

$\sqrt{n} = \frac{1.645*28}{3.7}$

$(\sqrt{n})^2 = (\frac{1.645*28}{3.7})^2$

$n = 154.97$

Rounding up:

155 women must be randomly selected.

4 0

3 years ago

If a bag contains 10 red,6 yellow,24 blue,and 8 white balloons , what part-to-whole ratio of blue balloons to all balloons

Anna11 [10]

Answer:

A. 1:2.

Step-by-step explanation:

24: 10+6+8+24

24:48

$\frac{24}{24}$ = 1

$\frac{48}{24}$ = 2

1:2

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BabaBlast [244]

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poizon [28]

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Step-by-step explanation:

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3 years ago