QUICKLY HELP! Which relationship between x and y in the equation shows a proportional relationship?

Mathematics

1 answer:

Darina [25.2K]3 years ago

3 0

Y = 12x is a direct variation which is a proportion.
As x increases y also increases.

You might be interested in

Write and solve an equation to answer the question. 14 is what percent of 70?

slamgirl [31]

Answer:

20%

Step-by-step explanation:

An equation is 14=x/100*70 or 14=(x%)*70, either one works

solve for x:

14=x/100*70
14/70=x/100 (Divide each side by 70)
1/5=x/100 (Simplify 14/70)
100/5=x (Multiply each side by 100 to isolate x)
x=20 (Simplify 100/5)
20% (Rewrite as a percent)

hope this helps!!

3 0

3 years ago

The mean height of women in a country (ages 20-29) is 64 4 inches A random sample of 50 women in this age group is selected What

Simora [160]

Answer:

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .