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3 years ago

Which of the following statements are true?

Mathematics

1 answer:

bezimeni [28]3 years ago

6 0

Answer:

A, B, and C are all true.

Step-by-step explanation:

A. 6 is neither a perfect square nor a perfect cube. True

B. 16 is a perfect square. True $4^{2}$

C. 27 is a perfect cube. True $3^{3}$

OD. 1,331 is both a perfect square and a perfect cube. False

E. 9 is a perfect cube. False

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Which sample size out of a population of 1,000 is most likely to lead to a valid conclusion?

Klio2033 [76]

200, because the more samples you have the more correct you will be.

5 0

3 years ago

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The volume of a rectangular prism is represented by the function x3 + 11x2 + 20x – 32. The width of the box is x – 1 while the h

Oksi-84 [34.3K]

we know that

the volume of a rectangular prism is equal to

$V=L*W*H$

where

L is the length of the box

W is the width of the box

H is is the height of the box

in this problem we have

$V=x^{3\ }+11x^2+20x-32$

$W=x-1$

$H=x+8$

$L=?$

Find the length of the box

Using a graph tool-------> we will determine the roots of the equation of volume

see the attached figure

the roots are

$x=-8\\x=-4\\ x=1$

$x^{3\ }+11x^2+20x-32=(x+8)*(x+4)*(x-1)$

therefore

the answer is

the length of the box is equal to $(x+4)$

8 0

2 years ago

Read 2 more answers

Given the formula A = 5h (B + b); solve for B. 2

stellarik [79]

Answer:

B = A/5h - b; You could use

B = (A - 5hb)/5h This just puts everything over a common denominator.

Step-by-step explanation:

A = 5h (B + b) Divide both sides by 5h

A/5h = B + b Subtract b from both sides.

A/5h - b = B

6 0

3 years ago

5#The distribution of scores on a standardized aptitude test is approximately normal with a mean of 480 and a standard deviation

kirza4 [7]

We want to find the value that makes

$P(X\ge x)=0.2$

To find it we must look at the standard normal table, using the complementary cumulative table we find that

$P(Z\ge z)=0.20045\Leftrightarrow z=0.84$

Then, using the z-score we can find the minimum score needed, remember that

$z=\frac{x-\mu}{\sigma}$

Where

σ = standard deviation

μ = mean

And in our example, x = minimum score needed, therefore

$\begin{gathered} 0.84=\frac{x-480}{105} \\ \\ x=0.84\cdot105+480 \\ \\ x=568.2 \end{gathered}$

Rounding to the nearest integer the minimum score needed is 568, if you get 568 you are at the top 20.1%.

7 0

1 year ago

Express 6 cups to 4 quarts as a fraction in simplest form.

natulia [17]

3/2 because you divide both by 2

8 0

2 years ago