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3 years ago

Is this sum rational or irrational? Explain.

Mathematics

1 answer:

Lemur [1.5K]3 years ago

3 0

Answer:

First answer:

"The sum is rational because both 1.12 and 18 are rational, and the sum of rational numbers is rational."

Step-by-step explanation:

Both 1.12 and 18/7 are rational numbers (meaning that they can be written as a quotient of integer numbers:

1.12 = 112/100

Then, since the addition of rational numbers is also a rational number, their sum is another rational number.

Then the correct answer is:

The sum is rational because both 1.12 and 18 are rational, and the sum of rational numbers is rational.

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The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,608 kilowatt hours (kWh

Marat540 [252]

Answer:

The calculated value Z = 1.4460 < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

A local power company believes that residents in their area use more electricity on average than EIA's reported average

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 10,608 kWh of electricity this year.

Given that the size of the sample n = 187

Given that mean of sample x⁻ = 10737 kWh

The Standard deviation of the Population = 1220kWh

Level of significance = 0.05

The critical value (Z₀.₀₅)= 1.96

Step(ii):-

Null Hypothesis: H₀:μ > 10608 kWh

Alternative Hypothesis: H₁: μ < 10608kWh

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{10737- 10608 }{\frac{1220}{\sqrt{187} } }$

Z = 1.4460

Final answer:-

The calculated value Z = 1.4460 < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

A local power company believes that residents in their area use more electricity on average than EIA's reported average.

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