Could someone please help

Amy had homework for math,science,and history.she spent 1/3 of her time working on math and 1/4 of her time working on science.

Alja [10]

First we need to multiply to make the fractions have equal denominators so we can add/subtract.

math: 1/3 x 4/4=4/12
science: 1/4 x 3/3=3/12

Now we can find the time she spent on history (I assume this is what you are looking for)

Total time-math time<span>-science time=history time</span>
12/12-4/12-3/12
=5/12

Amy spent 5/12 of her time working on history.

8 0

2 years ago

Read 2 more answers

Write an equation.

schepotkina [342]

Given:

y is proportional to x.

y=10 and x=8.

To find:

The constant of proportionality and the equation for the proportional relationship.

Solution:

y is proportional to x.

$y\propto x$

$y=kx$ ...(i)

Where, k is the constant of proportionality.

Putting y=10 and x=8, we get

$10=k(8)$

$\dfrac{10}{8}=k$

$\dfrac{5}{4}=k$

Putting $k=\dfrac{5}{4}$ in (i), we get

$y=\dfrac{5}{4}x$

Therefore, the contestant of proportionality is $k=\dfrac{5}{4}$ and the equation for the proportional relationship is $y=\dfrac{5}{4}x$ .

5 0

2 years ago

Please help :)

amm1812

The answer is 294 i know cause i just took it

6 0

3 years ago

Based on historical data, your manager believes that 37% of the company's orders come from first-time customers. A random sample

fomenos

Answer:

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

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 estabilishes 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 $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$