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3 years ago

2.1 repeating as a mixed number?

Mathematics

1 answer:

Schach [20]3 years ago

6 0

Answer:

2 1/10

Step-by-step explanation:

"Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over $10^{1}$ 1 (10). Next, add the whole number to the left of the decimal.

$2\frac{1}{10}$ "

quote desmos

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Read 2 more answers

Sample Size for Proportion As a manufacturer of golf equipment, the Spalding Corporation wants to estimate the proportion of gol

Dima020 [189]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56$

And rounded up we have that n=2663

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$t_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We can assume an estimated proportion of $\hat p =0.5$ since we don't have prior info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56$

And rounded up we have that n=2663

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4 years ago

Eli wants to plant 45 sunflower plants, 81 corn plants and 63 tomato plants in his garden. If he put the same number of plants i

Lynna [10]

Answer:

Step-by-step explanation:

For this problem, you would use the GCF

Find the GCF of 45, 81, 63

GCF(45, 81, 63) = 9

45 = 9 * 5

81 = 9 *9

63= 9 * 7

Since 5, 9, 7 have no common factors, the GCF has to be 9.

This means that the greatest number of plants he can put in each row is 9.

The number of rows he uses for each plant will (obviously) vary.

4 0

3 years ago