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3 years ago

One number is one-fifth of another number. The two numbers total 18. Find the numbers

Mathematics

1 answer:

Masja [62]3 years ago

8 0

Answer:

One number is 17 and the other is 85.

Step-by-step explanation:

Let the numbers be m and n. Let m = (1/5)n. Note that m+n = 18.

Substituting (1/5)n for m in the 2nd equation, we get (1/5)n + (5/5)n = 18. Multiplying all three terms by 5 to remove fractions, we get n + 5 = 90, so that n = 85. m is (1/5) of 85, or m = 17.

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This is 10 points plz help ( ONLY ANSWER THIS IF YOU HAVE AN EXPLANATION AND IF YOU KNOW WHAT THE ANSWER IS)

Alenkinab [10]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

If angle KLJ~angle VWU. Find the x value

Alenkasestr [34]

Answer:

Step-by-step explanation:

Since angle KLJ~angle VWU are similar :

KL / WV = KJ/ UV

(25 / 20) = (4x - 23 / 2x + 2)

Cross multiply :

25(2x + 2) = 20(4x - 23)

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5 0

3 years ago

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population pro

Gnom [1K]

Answer:

A sample of 1068 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?

We need a sample of n.

n is found when M = 0.03.

We have no prior estimate of $\pi$ , so we use the worst case scenario, which is $\pi = 0.5$

Then

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.03\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.03}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}$

$n = 1067.11$

Rounding up

A sample of 1068 is needed.

8 0

3 years ago

How is 3 divided by 1.4 ...2.14? Working please!

musickatia [10]

Turn 1.4 into a whole number. Which makes 1.4 to 14. We know that 3 has a decimal point at the end. So move the decimal point of 3 to the right, making it 30. Now do 30/14. You will get...

30/14 = 2.14

GG ;)

5 0

4 years ago

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zimovet [89]

The answer should be t=-24

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3 years ago