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4 years ago

Find the simplified form of each expression. (3/2b^4)^3

Mathematics

1 answer:

Aleksandr [31]4 years ago

8 0

Answer:

Step-by-step explanation:

I'm going to assume that you accidentally missed a set of parentheses and that the expression is

Raise 2, , and to the third power:

When a variable raised to a power is raised to another power, the exponents are multiplied:

Negative powers are the positive power in the denominator:

Therefore, the answer is the second option.

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A group of friends go out for a meal and the meal costs £148.

statuscvo [17]

148 x 0.25= 37

you would multiply by the percent off they get.

5 0

3 years ago

Sample annual salaries (in thousands of dollars) for employees at a company are listed. (a) Find the sample mean and sample s

Helen [10]

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

The value is attached in the image file please find it.

In point a:

First, we calculate the find the mean,

Formula:

$\to Mean (\bar{x}) = \frac{( \sum x)}{n}$

$=\frac{540}{13}\\\\ = 41.54$

To calculate the standard deviation, subtract the mean value from all observations then square its value:

$SD = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} \\$ $= \sqrt{ \frac{339.2308}{13-1}}$

$= \sqrt{ \frac{339.2308}{12}}\\\\= \sqrt{28.269}\\\\=5.31$

please find attached file

In point b:

New $x_i = 1 x_i + 0.05 x_i = 1.05 x_i$

Calculate new mean:

$\to \bar{x} = \frac{\sum x}{n} \\$

$=\frac{567}{13} \\\\= 43.62$

calculating the standard deviation:

$SD = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} \\$ $= \sqrt{ \frac{374.0022}{13-1}}$

$= \sqrt{ \frac{374.0022}{12}}\\\\= \sqrt{31.16}\\\\=5.58$

please find attached file

In point C:

Calculate new mean:

$\to \bar{x} = \frac{\sum x}{n} \\$

$=\frac{47.25}{13} \\\\= 3.46$

calculating the standard deviation:

$SD = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} \\$ $= \sqrt{ \frac{2.5975}{13-1}}$

$= \sqrt{ \frac{2.5975}{12}}\\\\= \sqrt{0.216}\\\\=0.46$

please find attached file

In point d:

for b,

New $\bar{x}= 1.05 \bar{x}= 1.05(41.54) =43.62$

New $s= 1.05s= 1.05(5.31)=5.57$

for c,

New $\bar{x}= \frac{ \bar{x}}{12}= \frac{41.54}{12} = 3.46$

New $s = \frac{s}{ 12} = \frac{5.31}{12}= 0.44$

4 0

4 years ago

Mr khan is buys 15 staplers for his office each stapler cost $16.99. What does his final total cos depend upon

ICE Princess25 [194]

The final cost depends on the amount he buys since the 16.99 is the constant. Equation form is 16.99n where n is the amount hence the inconsistent variable

6 0

3 years ago

A. which measure of variation is preferred when the mean is used as a measure ofâ center?

Maurinko [17]

The standard deviation is a measure that is used to quantify the amount of variation or dispersion of a set of data values from the mean.

A low standard deviation indicates that the data points tend to be close to the mean of the set, while a high standard deviation indicates that the data points are spread out over a wider range of values.

Therefore, the <span>measure of variation that is preferred when the mean is used as a measure of center is standard deviation.</span>

8 0

4 years ago

1010,0101,1100,0011,11100............what is next ?

Triss [41]

00111 is next because all your doing is 11100 and twisting it around which is gonna be 0011 example: 1213=3121

6 0

3 years ago

Read 2 more answers