What is the quotient? −4 1/2÷(−2 2/3)

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B28%7D%20%2B%20%5Cfrac%7B1%7D%7B70%7D%20%2B%20%5Cfrac%7B1%7D%7B130%7D%20%2B%20

malfutka [58]

Considering the least common multiple of the denominators, it is found that the result of the expression is given by:

$\frac{9100}{138320}$

<h3>How do we add fractions?</h3>

We place all the terms of the addition in "equivalent" fractions, with the same denominator, found from the last common multiple of all the denominators.

In this problem, the denominators are as follows: 28, 70, 130, 208, 304. Using a calculator, their lcm is of 138,320.

Considering equivalent fractions(the numerators are the division of the lcm by the previous denominator), the expression is:

$\frac{4940}{138320} + \frac{1976}{138320} + \frac{1064}{138320} + \frac{665}{138320} + \frac{455}{138320} = \frac{4940 + 1976 + 1064 + 665 + 455}{138320} = \frac{9100}{138320}$

More can be learned about the addition of fractions at brainly.com/question/78672

#SPJ1

5 0

1 year ago

it takes allison ten minutes to fill a dozen water balloons she wants to calculate how long it will take her to fill all the wat

nadezda [96]

Well you need an equation because how many friends were at the party? x*12x10=w thats your equation or however you want to put it. the letters are your variables

4 0

2 years ago

Read 2 more answers

Do all triangles have a hypotenuse, or only right triangles have a hypotenuse?

Nadusha1986 [10]

Only Right triangles

8 0

3 years ago

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Find the slope of the line which goes through the given points.<br> d<br> A(2,8) and B(2,6)

KATRIN_1 [288]

Answer:

Undefined

Step-by-step explanation:

A slope is found using the formula rise (change in y) over run (change in x). The change in x is 0, and the change in y is -2. The answer is -2/0, but dividing by 0 gives you undefined. Don't believe me? Look at the attached image.

Hope this helps!

7 0

3 years ago

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A research study investigated differences between male and female students. Based on the study results, we can assume the popula

garri49 [273]

Using the <u>normal distribution and the central limit theorem</u>, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

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

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

It 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, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

In this problem:

The mean is of $\mu = 3.5$ .

The standard deviation is of $\sigma = 0.5$ .

Sample of 100, hence $n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05$

The interval that contains 95.44% of the sample means for male students is <u>between Z = -2 and Z = 2</u>, as the subtraction of their p-values is 0.9544, hence:

Z = -2:

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

By the Central Limit Theorem

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