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muminat
3 years ago
15

IN number 14 it should be in fraction form PLSS help and explain i will give alot of points and Brainlist

Mathematics
1 answer:
nikklg [1K]3 years ago
6 0

Answer: 8/9

Step-by-step explanation:

3x/7 = 8/21, find x

Step 1: cross multiply the equation

3x × 21 = 8×7

63x = 56

Divide both sides by 63; retain in fraction.

x = 56/ 63

x = 8/9

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There is a bag filled with 5 blue, 2 red and 3 green marbles,
nikdorinn [45]

Answer:

0.62

Step-by-step explanation:

There are a total of 10 marbles in the bag.

P(blue and not blue) = 5/10 × 5/10 = 25/100

P(red and not red) = 2/10 × 8/10 = 16/100

P(green and not green) = 3/10 × 7/10 = 21/100

P = 25/100 + 16/100 + 21/100

P = 62/100

P = 0.62

Alternatively, you can calculate it this way:

P(both blue) = (5/10)² = 25/100

P(both red) = (2/10)² = 4/100

P(both green) = (3/10)² = 9/100

P = 1 − (25/100 + 4/10 + 9/100)

P = 1 − 38/100

P = 62/100

P = 0.62

5 0
2 years ago
A 500-page book contains 250 sheets of paper. The thickness of the paper used to manufacture the book has mean 0.08 mm and stand
LenaWriter [7]

Answer:

10.20% probability that a randomly chosen book is more than 20.2 mm thick

Step-by-step explanation:

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.

In this problem, we have that:

250 sheets, each sheet has mean 0.08 mm and standard deviation 0.01 mm.

So for the book.

\mu = 250*0.08 = 20, \sigma = \sqrt{250}*0.01 = 0.158

What is the probability that a randomly chosen book is more than 20.2 mm thick (not including the covers)

This is 1 subtracted by the pvalue of Z when X = 20.2. So

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

Z = \frac{20.2 - 20}{0.158}

Z = 1.27

Z = 1.27 has a pvalue of 0.8980

1 - 0.8980 = 0.1020

10.20% probability that a randomly chosen book is more than 20.2 mm thick

7 0
3 years ago
A hotel manager found that his gross Receipts for the day including a 3% sales tax were $1,551.18 find the amount of sales tax c
IrinaK [193]
The total percentage of the equation is 1,597.72
6 0
3 years ago
When rounded to the hundreds place, which of the numbers below round to 23,400? Select all that apply.
nevsk [136]

Answer:

I think the answer is B 23,345

7 0
2 years ago
What is the distance around a figure?
podryga [215]

The distance around a figure is called the perimeter.

Hope this helps :)

4 0
3 years ago
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