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Natasha_Volkova [10]
2 years ago
14

What is the missing numerator?

Mathematics
2 answers:
Scorpion4ik [409]2 years ago
7 0

Answer:

The missing numerator is 2.

Step-by-step explanation:

when you plug in 2 as the missing numerator and simplify you get 18/35.

\frac{4}{5} -\frac{2}{7}=\frac{18}{35}

the subtraction turns into 28/35 minus 10/35 which equals to 18/35

fgiga [73]2 years ago
5 0

4/5 - /7 =

4/5 - 2/7

5 * 7 = 35

7 * 4 = 28

5 * 2 = 10

28/35 - 10/35 = 18/35

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We conclude that children in district are brighter, on average, than the general population.

Step-by-step explanation:

We are given the following data set:

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Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

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Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1117}{10} = 111.7

Sum of squares of differences = 642.1

S.D = \sqrt{\frac{642.1}{49}} = 8.44

We are given the following in the question:  

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Alpha, α = 0.05

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First, we design the null and the alternate hypothesis

H_{0}: \mu = 106\\H_A: \mu > 106

We use one-tailed(right) t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{111.7 - 106}{\frac{8.44}{\sqrt{10}} } = 2.135

Now,

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We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

We conclude that children in district are brighter, on average, than the general population.

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