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aleksley [76]
1 year ago
8

At a school book fair, 3/5 of the books are nonfiction books. of the nonfiction books, 1/4 are animal books. what fraction of th

e book fair books are animal books? move numbers to the boxes to show the fraction.
Mathematics
1 answer:
bulgar [2K]1 year ago
5 0

Answer:

Animal books make up (3/20) of all books

Step-by-step explanation:

Let X be the total number of books, made up of nonfiction, animal, and all others.

(3/5)X are nonfiction books.

Of the nonfiction books, 1/4 are animal books:  (3/5)*(1/4)X = (3/20)X are animal books

[This means that Nonfiction, less animal books is:  (3/5)X - (3/20)X]

Animal books make up (3/20) of all books.

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A missing fraction on a number line is located exactly halfway between 3/6 and 5/6. what is the missing fraction
andrezito [222]
Hello! I believe the missing fraction is 4/6 because that is between the two numbers that would most likely be missing. I hope this helps! :)
6 0
3 years ago
Read 2 more answers
There are 100 gumdrops. 78 of them are large, and the rest are small. 33 of them are red, and the rest are other colors. 16 of t
g100num [7]
Large red ones= 16/78
33-16=17 small gumdrops

22 gumdrops are small
small red ones=17/22

Probability of large and small red ones:
prob. of large red ones:     16/78+22/22= 38/100=38%
prob. of small red ones:    17/22+78/78= 95/100=95%
3 0
3 years ago
Write the equation in function form<br> 6y - 4x = 24
k0ka [10]

Answer:

f(x) = (2/3)x + 4

Step-by-step explanation:

An equation in function is found by isolating y, and changing "y" to "f(x)".

Isolate y by moving everything else to the other side

What is done to one side must be done to the other

6y - 4x = 24

6y - 4x + 4x = 24 + 4x          (add 4x to both sides. -4x +4x cancels out)

6y = 24 + 4x

6y/6 = 24/6 + 4x/6             (divide both sides by 6)

y = 4 + (2/3)x          (simplify)

y = (2/3)x + 4        (rearrange to a familiar format "y=mx+b")  

f(x) = (2/3)x + 4        (replace y with f(x))

6 0
2 years ago
Please can someone help me??? Please
Sindrei [870]

A. A Plus Plumbing company charges $60 per hour and $80 as a one-time fee cause 320-140/4-1 equals 180/3 equals 60 and y-140=60(x-1)

y=60x-60+140

y=60x+80

5 0
3 years ago
The mean number of words per minute (WPM) read by sixth graders is 97 with a standard deviation of 19 WPM. If 75 sixth graders a
andrey2020 [161]

Answer:

0.0174 = 1.74% probability that the sample mean would be greater than 101.63 WPM

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 normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, 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.

In this problem, we have that:

\mu = 97, \sigma = 19, n = 75, s = \frac{19}{\sqrt{75}} = 2.1939

What is the probability that the sample mean would be greater than 101.63 WPM?

This is 1 subtracted by the pvalue of Z when X = 101.63. So

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

By the Central Limit Theorem

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

Z = \frac{101.63 - 97}{2.1939}

Z = 2.11

Z = 2.11 has a pvalue of 0.9826.

1 - 0.9826 = 0.0174

0.0174 = 1.74% probability that the sample mean would be greater than 101.63 WPM

5 0
3 years ago
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