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3 years ago

What is the LCD of 1/2 and 2/17? A.1 B.17 C.19 D.34

Mathematics

2 answers:

12345 [234]3 years ago

7 0

The lcd is 34. So D would be your answer

FrozenT [24]3 years ago

6 0

Answer:

Its 34

Step-by-step explanation:

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Tori uses the greatest common factor and the distributive property to rewrite this sum:

vovikov84 [41]

12(2+7)

12 is the GCF for 24 with 12 x2 =24 and 12 is the GCF for 84 with 12 x7= 84.

6 0

3 years ago

Read 2 more answers

Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size

julsineya [31]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

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

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

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:

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

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 $ME =\pm 0.01$ 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)

For this case we can use as estimator for the proportion $\hat p =0.5$ , since we don't have any other previous info. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

8 0

3 years ago

1. City A has a population of 25,000. The population Increases at 3.5% every year. Find the population size in 10 years.

iren [92.7K]

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6 0

3 years ago

Elsa uses exactly 60 cubes of ice to build a rectangular ice prism. Each cube has side lengths of 1 unit. Enter the dimensions o

GuDViN [60]

Answer:

2, 5, 6

Step-by-step explanation:

The volume of a rectangular prism is given by $V=l\cdot w\cdot h$ , where all variables to the right are dimensions of the prism.

Therefore, we're looking for three numbers that multiply to be 60.

Since the question stipulates that no side length may be 10, we have:

$2\cdot 5\cdot 6=60$

3 0

3 years ago

How many ml of 20 percent acid should be added to pure acid to make 70 ml of 30 percent acid?

Novay_Z [31]

Answer:

61.25%

Step-by-step explanation:

How many ml of 20 percent acid should be added to pure acid

to make 70 ml of 30 percent acid?

let x = amt of 20% mixture

then

(70-x) = amt of pure acid

0.20x + (70-x) =0 .30(70)

0.20x + 70 - x = 21

= 21 - 70

-0.8x =-49

x = 61.25%

x = +61.25 ml of 20% stuff

8 0

3 years ago