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ikadub [295]
3 years ago
11

One number is 3 times another. If the sum of the two numbers is 15, find the two numbers.

Mathematics
2 answers:
gregori [183]3 years ago
8 0

Answer:

15/4 and 45/4

Step-by-step explanation:

Let x and y be the numbers

x = 3y

x+ y = 15

Substitute the first equation in to the second equation

3y+y = 15

4y = 15

y = 15/4

x = 3(15/4)

x = 45/4

The two numbers are 15/4 and 45/4

Vinvika [58]3 years ago
6 0
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A test is used to assess readiness for college. In a recent​ year, the mean test score was 20.3 and the standard deviation was 4
Vlada [557]

Answer:

\mu = 20.3

\sigma = 4.9

And we can find the limits in order to consider values as significantly low and high like this:

Low\leq \mu -2 \sigma= 20.3- 2*4.9 = 10.5

High\geq \mu +2 \sigma= 20.3+ 2*4.9 = 30.1

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".

Solution to the problem

For this case we can consider a value to be significantly low if we have that the z  score is lower or equal to - 2 and we can consider a value to be significantly high if its z score is  higher tor equal to 2.

For this case we have the mean and the deviation given:

\mu = 20.3

\sigma = 4.9

And we can find the limits in order to consider values as significantly low and high like this:

Low \leq \mu -2 \sigma= 20.3- 2*4.9 = 10.5

High\geq \mu +2 \sigma= 20.3+ 2*4.9 = 30.1

6 0
3 years ago
A 50-foot ladder leans against a building. If the base of the ladder is 6 feet from the base of the building, what is the angle
adell [148]

Answer:

The angle between the building and the ladder \theta = 6.9°

Step-by-step explanation:

Given data

AB = 50 ft = length of the building

BC = 6 ft

\theta = Angle between the ladder & building

From Δ ABC

\sin \theta = \frac{BC}{AB}

\sin \theta= \frac{6}{50}

\theta = 6.9°

This is the angle between the building and the ladder.

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3 years ago
A person who weighs 120 pounds on Earth weighs 20 pounds on the Moon. How much does a 93-pound person weigh on the Moon?
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93 * 20 / 120 = 15.5

<span>a 93-pound person weighs on the Earth will weigh 15.5 lbs on Moon</span>
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4 years ago
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levacccp [35]
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Z varies jointly with x and y. when x=2 and y=3, z=60. what is the value of z when x=4 and y=9?
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<span>Z $ xy then Z = Kxy. When x = 2 and y = 3, and Z = 60, our constant of variation becomes 60 = K * 2 * 3 K = 10. Our constant of proportionality equals 10. We would need that in the second part of the equation. When x = 4 and y = 9, we have Z = 10 * 4 * 9 = 360</span>
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3 years ago
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