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ira [324]
3 years ago
5

Solve. 7 9/16 ÷ 2 3/4

Mathematics
2 answers:
Ahat [919]3 years ago
8 0

Answer:

\frac{11}{4} or 2\frac{3}{4}

Step-by-step explanation:

7 9/16 ÷ 2 3/4

7 \frac{9}{16} =\frac{121}{16}

2 \frac{3}{4} =\frac{11}{4}

Now divide both the fractions. when we divide the fraction , take reciprocal of second fraction and multiply it

\frac{121}{16} \cdot \frac{4}{11}

cancel out 121 and 11. Also cancel out 16 and 4

\frac{11}{4} \cdot \frac{1}{1}

\frac{11}{4}

kotykmax [81]3 years ago
7 0

Answer:

2 3/4

7 9/16 ÷ 2 3/4 = 2.75

so 2.75 as a fraction is 11/4

then we simplify 11/4= 2 3/4

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Answer:

We conclude that the mean Ohio score is below the national average.

Step-by-step explanation:

We are given that a random survey of 1000 students nationwide showed a mean ACT score of 21.1. Ohio was not used.

A survey of 500 randomly selected Ohio scores showed a mean of 20.8. The population standard deviation is 3.

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So, Null Hypothesis, H_0 : \mu \geq 21.1      {means that the mean Ohio score is above or equal the national average}

Alternate Hypothesis, H_A : \mu < 21.1      {means that the mean Ohio score is below the national average}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about population standard deviation;

                    T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n}}}  ~ N(0,1)

where, \bar X = sample mean Ohio score = 20.8

            \sigma = population standard deviation = 3

            n = sample of Ohio = 500

So, <u><em>test statistics</em></u>  =  \frac{20.8-21.1}{\frac{3}{\sqrt{500}}}  

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Therefore, we conclude that the mean Ohio score is below the national average.

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Read more on trapezoid here: brainly.com/question/4758162

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