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2 years ago

Evaluate the expression (2.5)^3

Mathematics

2 answers:

sergejj [24]2 years ago

7 0

Answer:

15.625

Step-by-step explanation:

(2.5)^3 = 2.5 · 2.5 · 2.5
2.5 · 2.5 · 2.5 = 6.25 · 2.5
6.25 · 2.5 = 15.625

Therefore, (2.5)^3 = 15.625.

pychu [463]2 years ago

7 0

please mark this answer as brainlist

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If a/\2+1/a/\2=11, then a+1/a=?

Nadya [2.5K]

Answer:

$\pm \sqrt{13}$

Step-by-step explanation:

$\bigg(a + \frac{1}{a} \bigg)^{2} = {a}^{2} + \frac{1}{ {a}^{2} } + 2 \times a \times \frac{1}{a} \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 11 + 2 \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 13 \\ \\ \bigg(a + \frac{1}{a} \bigg) = \pm \sqrt{13}$

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3 years ago

Many artists incorporate geometric shapes into their art. An artist wants to make a sculpture shaped like a cone with a height o

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Answer:D

Step-by-step explanation:

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2 years ago

A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only

Semenov [28]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: Number of people that support the candidate.

You need to calculate the sample size to estimate the population proportion of supporters given a confidence level of 99% and a margin of error of 4%

The margin of error of the confidence level for the population proportion is

d= $Z_{1-\alpha /2}$ * $\sqrt{\frac{p'(1-p')}{n} }$

From this formula you have to clear the value of n:

$\frac{d}{Z_{1-\alpha /2}}$ = $\sqrt{\frac{p'(1-p')}{n} }$

$(\frac{d}{Z_{1-\alpha /2}})^2$ = $\frac{p'(1-p')}{n}$

$n*(\frac{d}{Z_{1-\alpha /2}})^2$ = $p'(1-p')$

n= $p'(1-p') * (\frac{Z_{1-\alpha/2}}{d} )^2$

$Z_{1-\alpha/2}= Z_{0.995}= 2.586$

sample proportion "p'" since there is no sample information, nor any previous information is known, you have to consider it as the "worse case scenario" and use the value of p'= 0.50

d= 0.04

$n= p'(1-p') * (\frac{Z_{1-\alpha/2}}{d} )^2= 0.5*0.5*(\frac{2.586}{0.04} )^2= 1044.9= 1045$

She has to take a sample of 1045 people to estimate the population proportion of her supporters with a confidence level of 99% and a margin of error of 4%

I hope this helps!

4 0

2 years ago

a student is reading a fictional book at about 300 words per a minute. convert this rate to words per second

NeTakaya

300words/min
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6 0

3 years ago

The sum of three consecutive odd integers is 87. Which equation could you use to find the three

Alexandra [31]

Answer:

$k+(k+2)+(k+4)=87$

The largest integer is 31.

Step-by-step explanation:

Hi there!

Let <em>k</em> be equal to the smallest of the integers.

Let (<em>k</em>+2) be the next odd integer.

Let (<em>k</em>+4) be the final odd integer.

We're given that the sum of these three integers is 87. Construct an equation:

$k+(k+2)+(k+4)=87$

Combine like terms:

$k+k+2+k+4=87\\3k+6=87\\3k=81\\k=27$

Therefore, the smallest integer is 27. Because the largest integer is k+4, the largest integer is therefore 31.

I hope this helps!

7 0

3 years ago