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emmasim [6.3K]
2 years ago
14

Find an equivalent ratio in simplest terms: 25:75

Mathematics
1 answer:
Sati [7]2 years ago
5 0

Answer:

1:3

Step-by-step explanation:

Both numbers are divisible by 25:

  • 25 ÷ 25 = 1
  • 75 ÷ 25 = 3

∴ The simplified ratio is 1:3

Hope this helps!

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What is 1/5 times 10x?
grigory [225]

Answer:

2x

Step-by-step explanation:

10x/5 is the same as 1/5 times 10x.

Simplify to get 2x

8 0
3 years ago
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The construction cost for this road ha been estimated at $135 per linear foot. (1 mile = 5280 ft).
Mamont248 [21]
T. Pitagora twice => new street = 2\sqrt{20} = 8.94 miles;
135*8.94 = 1206.9$;
8 0
3 years ago
A manufacturer of nails claims that only 4% of its nails are defective. A random sample of 20 nails is selected, and it is found
irakobra [83]

Answer:

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

Step-by-step explanation:

A manufacturer of nails claims that only 4% of its nails are defective.

At the null hypothesis, we test if the proportion is of 4%, that is:

H_0: p = 0.04

At the alternative hypothesis, we test if the proportion is more than 4%, that is:

H_a: p > 0.04

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.

4% is tested at the null hypothesis

This means that \mu = 0.04, \sigma = \sqrt{0.04*0.96}

A random sample of 20 nails is selected, and it is found that two of them, 10%, are defective.

This means that n = 20, X = 0.1

Value of the test statistic:

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

z = \frac{0.1 - 0.04}{\frac{\sqrt{0.04*0.96}}{\sqrt{20}}}

z = 1.37

P-value of the test and decision:

Considering an standard significance level of 0.05.

The p-value of the test is the probability of finding a sample proportion above 0.1, which is 1 subtracted by the p-value of z = 1.37.

Looking at the z-table, z = 1.37 has a p-value of 0.9147

1 - 0.9147 = 0.0853

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

7 0
3 years ago
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Help me please no links
kirza4 [7]

Answer:

the answer is 4

Step-by-step explanation:

7 0
3 years ago
Silvio earns 10% for each car sale he makes while working at a used car dealership. If he sells a used car for $2,000, what is h
Fynjy0 [20]

Commission = 10%

If the car was sold for $2000

commission = 10% of $2000

commission = 0.1 x $2000

commission = $200

4 0
3 years ago
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