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jasenka [17]
2 years ago
10

Mason and Laney run laps. The ratio of the number of laps Mason ran to the number Laney ran was 2:3.

Mathematics
1 answer:
3241004551 [841]2 years ago
3 0

Using proportions, it is found that Mason ran 620 meters.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Considering the ratio, the <em>rule of three</em> is given as follows:

2 laps for Mason - 3 laps for Laney.

n meters for Mason - 930 meters for Mason.

Applying cross multiplication:

3n = 930 x 2

n = 930 x 2/3

n = 620

Mason ran 620 meters.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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Answer:

There is no statistical evidence at 1% level to accept that    the mean net contents exceeds 12 oz.

Step-by-step explanation:

Given that a random sample of ten containers is selected, and the net contents (oz) are as follows: 12.03, 12.01, 12.04, 12.02, 12.05, 11.98, 11.96, 12.02, 12.05, and 11.99.

We find mean = 11.015

Sample std deviation = 3.157

a) H_0: \bar x= 12 oz\\H_a: \bar x >12

(Right tailed test)

Mean difference /std error = test statistic

\frac{11.015-12}{\frac{3.157}{\sqrt{10} } } \\=-0.99

p value =0.174

Since p >0.01, our alpha, fail to reject H0

Conclusion:

There is no statistical evidence at 1% level to accept that    the mean net contents exceeds 12 oz.

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3 years ago
How many centimeters are there in 1 yard if there are 2.54 centimeters per inch? Show your work and express your answer without
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Answer: 91.44

Step-by-step explanation:

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2 years ago
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Answer:

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Step-by-step explanation:

We have the compound inequality:

2(x-1)\geq10\text{ or } 3-4x>15

Let's solve each of them individually first:

We have:

2(x-1)\geq10

Divide both sides by 2:

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Add 1 to both sides:

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We have:

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Subtract from both sides:

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Step-by-step explanation:

A quotient means a ratio or one quantity being divided by another, or in algebraic terms (a/b). In this case, the first quantity is "nine times a number" represented in terms of n as (n). The other quantity is just the number 7.

Dividing the 9 times n by 9 gives us the following:

9n÷7

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