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(Order of Operations with Radicals MC) Simplify the expression. one half cubed − 4 ÷ square root of 64 negative thirty-one over

sixty-four negative three eighths three eighths thirty-one over sixty-four

1 answer:

e-lub [12.9K]1 year ago

8 0

The solution to one half cubed − 4 ÷ square root of 64 is negative three eighth

<h3>How to simplify the expression?</h3>

The expression is given as:

one half cubed − 4 ÷ square root of 64

Rewrite the expression properly as follows:

(1/2)^3 − 4/√64

Take the square root of 64

(1/2)^3 − 4/8

Evaluate the quotient of 2 and 8

(1/2)^3 − 1/2

Take the cube of 1/2

1/8 - 1/2

Evaluate the difference

-3/8

Hence, the solution to one half cubed − 4 ÷ square root of 64 is negative three eighth

Read more about expressions at:

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8. A bag of marbles contains only purple and yellow marbles. The bag has three times as many

Yuliya22 [10]

Answer:

Step-by-step explaA bag of marbles contains only purple and yellow marbles. The bag has three times as many yellow marbles as purple. The bag contains 164 total marbles. Write an equation or system of equations to find out how many of each color of marble is in the bag. Define your variable(s) and expressions. Show how you checked your answer.

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2 years ago

If 50 is 80% , then how many percent is 38 ?

Oksanka [162]

Answer: 1.64

Step-by-step explanation:

80% = 50

20% = 12.5

100% = 62.5

38% = 1.64

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2 years ago

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Eva8 [605]

Substitute $u=\ln x$ , so that $\mathrm du=\dfrac{\mathrm dx}x$ . The integral is then equivalent to

$\displaystyle\int\frac{\mathrm dx}{x\ln^px}=\int\frac{\mathrm du}{u^p}=\begin{cases}\dfrac{u^{p+1}}{p+1}+C&\text{for }p\neq1\\\\\ln|u|+C&\text{for }p=1\end{cases}$

Then transforming back to $x$ gives

$\displaystyle\int\frac{\mathrm dx}{x\ln^px}=\begin{cases}\dfrac{\ln^{p+1}x}{p+1}+C&\text{for }p\neq1\\\\\ln|\ln x|+C&\text{for }p=1\end{cases}$

4 0

3 years ago

The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.' a) What

Tcecarenko [31]

Answer:

$Mean = 0.36$

$SD = 0.5817$

$P(x=3) = 0.003588$

Step-by-step explanation:

Given

Let

A = Event of being a universal donor.

So:

$P(A) = 0.06$

$n = 6$

Solving (a): Mean and Standard deviation.

The mean is:

$Mean = np$

$Mean = 6 * 0.06$

$Mean = 0.36$

The standard deviation is:

$SD = \sqrt{np(1-p)}$

$SD = \sqrt{6*0.06*(1-0.06)}$

$SD = \sqrt{0.3384}$

$SD = 0.5817$

Solving (b): P(x = 3)

The event is a binomial event an dthe probability is calculated as:

$P(x) = ^nC_x * p^x * (1-p)^{n-x}$

So, we have:

$P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^{6-3}$

$P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^3$

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$P(x=3) = 0.003588$

7 0

2 years ago

What is the relationship between the ratios?

Lesechka [4]

Answer:

NOT PROPORTIONAL

Step-by-step explanation:

The given two fractions are: $\frac{5}{8}$ and $\frac{8}{10}$ .

Proportional fractions are those which have the same value when to reduced to the simplest form.

Consider two fractions $\frac{p}{q}$ and $\frac{x}{y}$ .

We say they are proportional if $p : q = x : y$ .

Or, if $py = qx$ then we can say the fractions are proportional.

Here the fractions are: $\frac{5}{8}$ and $\frac{8}{10}$ .

LHS: 5 X 10 = 50.

RHS: 8 X 8 = 64.

Clearly they are not equal. So, we can say these two fractions are not proportional.

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2 years ago