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saveliy_v [14]
3 years ago
13

Ben is 39 years old and Ishaan is 3 years old. How many years will it take until Ben is only 4 times as old as Ishaan?

Mathematics
1 answer:
Evgen [1.6K]3 years ago
4 0

Answer:

9\ years

Step-by-step explanation:

Let

x------> the number of years

we know that

(39+x)=4(3+x)

Solve for x

39+x=12+4x

4x-x=39-12

3x=27

x=9\ years

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A grocery store sells Swiss cheese for $5.90 a pound. To the nearest cent, what is the cost per ounce of Swiss cheese? Round you
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Answer:

37 cents

Step-by-step explanation:

Given that a grocery store sells Swiss cheese

Rate per pound = 5.90 dollars

1 pound =16 oz,

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SO cost of one ounce of Swiss cheese =\frac{5/90}{16} =0.36875

Or 36.875 cents

Round off to nearest cent as

37 cents since after decimal digit 8 is more than 5.

Hence answer is 37 cents

8 0
3 years ago
Simplify √ 144x2 <br><br> A. 8x2√ 6 <br> B. 2x2√ 2 <br> C. 8√ 6x <br> D. 12x
Stella [2.4K]
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3 0
3 years ago
Read 2 more answers
A garden is 4 yards 24 inches wide and 4 yards long. Write the ratio of the width to the length as a fraction in simplistic form
Lana71 [14]

Answer:

7/6

Step-by-step explanation:

The width to length ratio is ...

... width / length = (4 2/3 yards)/(4 yards) = (14/3)/4 = 14/12

... width/length = 7/6

8 0
3 years ago
The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the propor
melisa1 [442]

Answer:

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Step-by-step explanation:

Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: H_{0}: p = 0.7

And the alternate hypothesis is: H_{a}: p > 0.7

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that \mu = 0.7, \sigma = \sqrt{0.7*0.3}

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that n = 500, X = \frac{375}{500} = 0.75

Value of the z-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}

z = 2.44

P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

1 - 0.9927 = 0.0073

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

8 0
3 years ago
5) Plot these coordinates and determine the resulting figure. (0, 2) (4, 6) (10, 12) (18, 20) A) circle B) curve C) line D) para
Delicious77 [7]

Answer:

Resulting figure after plotting the given coordinates (0, 2) (4, 6) (10, 12) (18, 20) is a LINE.

Step-by-step explanation:

Please find the attached document for figure plotted.


3 0
3 years ago
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