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2 years ago

(-5z)^3 using only positove exponents

Mathematics

1 answer:

Elena L [17]2 years ago

8 0

Answer:

Shown below

Step-by-step explanation:

First allocate the power of three to every number

$-5^{3} * z^{3}$ = $-125 * z^{3}$

not sure what you mean by positive exponents, the exponents already are positive. Maybe you mean positive exponents and integers?

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A school authority claims that the average height of students is 178 cm. A researcher has taken a well-designed survey and his s

Hunter-Best [27]

Answer:

d) The difference exists due to chance since the test statistic is small

Step-by-step explanation:

From the given information:

Population mean = 178 cm

the sample mean = 177.5 cm

the standard deviation = 2

the sample size = 25

The null hypothesis and the alternative hypothesis can be computed as:

Null hypothesis:

$H_o: \mu = 178$

Alternative hypothesis:

$H_1: \mu \neq 178$

The t-test statistics is determined by using the formula:

$t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$t = \dfrac{177.5 - 178}{\dfrac{2}{\sqrt{25}}}$

$t = \dfrac{-0.5}{\dfrac{2}{5}}}$

$\mathbf{t= -1.25}$

Degree of freedom df = n- 1

Degree of freedom df = 25 - 1

Degree of freedom df = 24

At the level of significance ∝ = 0.05, the critical value = 2.064

Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance

Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small

5 0

2 years ago

I WILL GIVE 5 STARS SAY THANKS AND MARK BRAINLIEST FOR RIght While training for a marathon, Jan lost 4.2% of her mass. If she lo

daser333 [38]

Answer:

50 kg

Step-by-step explanation:

3 0

2 years ago

2. Help ASAP!!!!!!!!!!!!!!!!

ch4aika [34]

ANSWER

$2 \times 2$

EXPLANATION

The dimensions of a matrix is of the form:

$Row \times Column$

The dimensions of the first matrix is

$2 \times 3$

The dimensions of the second matrix is

$3 \times 2$

Since the inner products are the same,the outer products give the dimensions of the product of the two matrices.

$(2 \times 3)(3 \times 2) = 2 \times 2$

Therefore the dimensions of the product is a 2×2 matrix.

8 0

2 years ago

Read 2 more answers

Someone help please? thanks.

alina1380 [7]

Answer:

The answer is spread from 1 to 6! This is because the dots are spread through numbers 1-6 and there are no gaps.

6 0

2 years ago

Chan deposited money into his retirement account that is compounded annually at an interest rate of 7%. Chan thought the equival

dedylja [7]

Answer:

No, equivalent quarterly rate will be approx 1.75%

Step-by-step explanation:

Given that Chan deposited money into his retirement account that is compounded annually at an interest rate of 7%.

We know that there are 4 quarters in 1 year.

So to find that equivalent quarterly we will divide given yearly rate by number of quarters.

That means divide 7% by 4.

which gives 1.75%.

But that is different than Chan's though of 2% quarterly interest.

Hence Chan is wrong.

4 0

3 years ago