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3 years ago

The ratio of two numbers is 1 to 5, and the sum of the numbers is 36. What is the smaller number?

2 answers:

7 0

Here is how to work it out: 1 + 5 = 6 36 / (1+5) meaning 36 / 6 = 6 6 * 1 = 6 the smaller number 6 * 5 = 30 the larger number 6 the smaller number + 30 the larger number = 36 The smaller number is 6

babunello [35]3 years ago

6 0

The answer is 6. Hope it helps! :)

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Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of

Olin [163]

Answer:

$P(16.5$

And using the normal standard table or excel we find the probability:

$P(-1.768< Z< 1.768) = P(Z$

Step-by-step explanation:

Previous concepts

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:

$X \sim N(17.5,4)$

Where $\mu=17.5$ and $\sigma=4$

Since the distribution for X is normal then, the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu= 17.5, \frac{\sigma}{\sqrt{n}}= \frac{4}{\sqrt{50}}=0.566)$

We select a sample of n =50 people. And we want to find the following probability

$P(16.5$

And using the normal standard table or excel we find the probability:

$P(-1.768< Z< 1.768) = P(Z$

4 0

4 years ago

What is the slope of the line that passes through the points (-10, 9) and (-12, 7)

Iteru [2.4K]

$\text{Given that,}~~\\\\(x_1, y_1) = (-10,9)~~\text{and}~~ (x_2,y_2) = (-12,7)\\\\\\\text{Slope,}~~ m = \dfrac{y_2 - y_1}{x_2 -x_1}= \dfrac{7-9}{-12+10} =\dfrac{-2}{-2} = 1$

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2 years ago

20 POINTS. Given cos θ=4/5, find cot(θ).

nydimaria [60]

$\displaystyle\\\cos\theta=\frac{4}{5}\\\\ \sin\theta=\sqrt{1-\cos^2\theta}=\sqrt{1-\left(\frac{4}{5}\right)^2} =\sqrt{1-\frac{16}{25}} =\sqrt{\frac{9}{25}} =\frac{3}{5}~~\text{(If } \theta \in \text{quadrant 1)}}\\\\\\ \cot(\theta)=\frac{\cos\theta}{\sin\theta}=\frac{~~\dfrac{4}{5}~~}{\dfrac{3}{5}}=\frac{4}{5}\times\frac{5}{3}=\frac{4}{3}\\\\\\\boxed{\cot(\theta)=\frac{4}{3}}$

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3 years ago

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Vlad [161]

Do you need me to give you word problems?

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Katarina [22]

Answer:

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