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klemol [59]
3 years ago
13

Find the power of

rac{3}{8} " align="absmiddle" class="latex-formula">³
Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
7 0
\sf Hello!

\sf Since,

(\dfrac{\sf a}{\sf b})^{\sf n} = \dfrac{\sf a^{n}}{\sf b^{n}}

\sf Then,

(\dfrac{\sf 3}{\sf 8})^{\sf 3} = \dfrac{\sf 3^{3}}{\sf 8^{3}} = \dfrac{\sf 27}{\sf 512}

~ \sf iCarl
Ulleksa [173]3 years ago
6 0

If is \dfrac{3^3}{8} then your answer is

\dfrac{3\cdot3\cdot3}{8}=\dfrac{27}{8}

If is \left(\dfrac{3}{8}\right)^3 then your answer is

\dfrac{3}{8}\cdot\dfrac{3}{8}\cdot\dfrac{3}{8}=\dfrac{27}{512}

Other method.

Use \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}

\left(\dfrac{3}{8}\right)^3=\dfrac{3^3}{8^3}=\dfrac{27}{512}

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What is the simplified answer to this problem 12 > -3x + 6
Verdich [7]

In this question, you're simplifying the inequality by solving for x.

Solve for x:

12 > -3x + 6

<em>flip the equation:</em>

-3x + 6 < 12

<em>subtract 6 from both sides</em>

-3x < 6

<em>divide both sides by -3, while also flipping the inequality</em>

x > -2

Answer:

x > -2

8 0
3 years ago
Use your calculator to work out this equation
alisha [4.7K]

Answer:

2.123842852 is the first answer

for part b it'll be 2.12

hope that helps

Step-by-step explanation:

4 0
3 years ago
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Please help me with this question:)!
Georgia [21]

Answer:

i think so option b is the correct option.

Step-by-step explanation:

because 3+7=10 not 11.

6 0
3 years ago
How do you subtract 4 4/9 - 2 7/9=
Daniel [21]
You would need to turn 4 4/9 and 2 7/9 into mix numbers. This would leave you with 50/9 - 25/9. Since the denominators are the same  you just need to subtract the numerators 50 - 25 = 25. So the answer is 25/9
5 0
3 years ago
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To study the output of a machine that fills boxes with cereal, a quality control engineer weighed 150 boxes of Brand X cereal. T
scoundrel [369]

Answer:

\sigma = 0.07770

Step-by-step explanation:

Given

The above table

Required

The standard deviation

First, calculate the class mid-point. This is the average of the class interval.

The mid-point x is:

x_1 = \frac{1}{2}(15.3 + 15.6) =\frac{1}{2} * 30.9 = 15.45

x_2 = \frac{1}{2}(15.6 + 15.9) =\frac{1}{2} * 31.5 = 15.75

x_3 = \frac{1}{2}(15.9 + 16.2) =\frac{1}{2} * 32.1 = 16.05

x_4 = \frac{1}{2}(16.2 + 16.5) =\frac{1}{2} * 32.7 = 16.35

x_5 = \frac{1}{2}(16.5 + 16.8) =\frac{1}{2} * 33.3 = 16.65

So, we have:

\begin{array}{cccccc}x & {15.45} & {15.75} & {16.05} & {16.35} & {16.65} \ \\ f & {14} & {25} & {84} & {18} & {9} \ \end{array}

Calculate mean

\bar x = \frac{\sum fx}{\sum f}

\bar x = \frac{15.45 * 14 + 15.75 * 25 + 16.05 * 84 + 16.35 * 18 + 16.65 * 9}{14 + 25 + 84 + 18 + 9}

\bar x = \frac{2402.4}{150}

\bar x = 16.016

The standard deviation is:

\sigma = \sqrt{\frac{\sum(x_i - \bar x)^2}{\sum f}}

\sigma = \sqrt{\frac{(15.45 - 16.016)^2+ (15.75  - 16.016)^2+ (16.05  - 16.016)^2+ (16.35   - 16.016)^2+ (16.65  - 16.016)^2}{14 + 25 + 84 + 18 + 9}}

\sigma = \sqrt{\frac{0.90578}{150}}

\sigma = \sqrt{0.00603853333}

\sigma = 0.07770

4 0
2 years ago
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