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3 years ago

Factor completely x3 - y3

Mathematics

1 answer:

stealth61 [152]3 years ago

8 0

Answer:

$(x-y)(x^2+xy+y^2)$

Step-by-step explanation:

$x^3 - y^3=(x-y)(x^2+xy+y^2)$

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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.

3 0

3 years ago

How do I do this!!!!!

Readme [11.4K]

The expected values of the binomial distribution are given as follows:

1. 214.

2. 21.

3. 31.

<h3>What is the binomial probability distribution?</h3>

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

For item 1, the parameters are:

p = 3/7, n = 500.

Hence the expected value is:

E(X) = np = 500 x 3/7 = 1500/7 = 214.

For item 2, the parameters are:

p = 0.083, n = 250.

Hence the expected value is:

E(X) = np = 250 x 0.083 = 21.

For item 3, the parameters are:

p = 1/13, n = 400.

Hence the expected value is:

E(X) = np = 400 x 1/13 = 31.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

6 0

2 years ago

The ratio of boys to girl in a certain class is 4:7. if there are 33 students in the class, how many of them are girls.

Elden [556K]

Your answer is that 21 are girls

7 0

3 years ago

Choose an angle or point from the preimage and name its image

Ksenya-84 [330]

From the preimage, the angle or point I choose is P and I name its image as: P maps to P’.

The set of all elements of the domain that map to the members of S is the inverse image or preimage of a particular subset S of the codomain of a function.

4 0

3 years ago

In 2000, U.S. trade with Saudi Arabia totaled $20.6 billion. Of this total,

xxMikexx [17]

Answer:

30.1%

Step-by-step explanation:

Find the percent that was US exports by dividing 6.2 by 20.6, then multiplying it by 100

(6.2/20.6) x 100

= approximately 30.1

So, approximately 30.1% of the trade was US exports

8 0

3 years ago