All categories

3 years ago

Which expression is equivalent to

Mathematics

2 answers:

mojhsa [17]3 years ago

6 0

First choice: m^32n^16

Hope this helps!

nlexa [21]3 years ago

4 0

Answer:

The correct answer would be m^32n^16.

Step-by-step explanation:

This is because when you have a power inside parenthesis multiplied by a power outside the parenthesis, you are simply going to multiply the numbers like so:

8 • 4 = 32

4 • 4 = 16

m^32n^16

Hope this helps,

♥A.W.E.S.W.A.N.♥

You might be interested in

Use the drawing tools to form the correct answers on the graph. Draw the lines representing the vertical and horizontal asymptot

-BARSIC- [3]

Answer:

vertical asymptote X=-1

horizontal asymptote Y=2

Step-by-step explanation:

7 0

3 years ago

(a)

mamaluj [8]

Answer:

10=16[ by cost]

Step-by-step explanation: the cost of 10 chairs is x.

the cost 16 chairs is also x. 10x = 16x

4x is loss.

Profit or Gain = Selling price – Cost price. Loss = Cost price – Selling price. Profit Percentage = [Profit/C.P.]×100. Percentage Loss = [Loss/C.P.]×100.

In simple way, we can say that sp- cp[ when it is a gain], cp -sp[ when it is a loss]. here it is a loss as well as a gain. so do both according to the formula

3 0

3 years ago

A house was bought for $50000 and was sold 15 years later for $95000. find the effective yield.

11Alexandr11 [23.1K]

Answer:

If we divide that by 15 years, we get an annual yield of

$3,000 per year.

Step-by-step explanation:

welcome :)

8 0

2 years ago

"A manufacturer of automobile batteries claims that the average length of life for its grade A battery is 55 months. Suppose the

STALIN [3.7K]

Answer:

$\\ P(z>-2) = 0.97725$ or P(x>49) is about 97.725% (or being less precise 97.5% using the empirical rule).

Step-by-step explanation:

We solve this question using the following information:

We are dealing here with normally distributed data, that is "the frequency distribution of the life length data is known to be mound-shaped".
The normal distribution is defined by two parameters: the population mean ( $\\ \mu$ ) and the population standard deviation ( $\\ \sigma$ ). In this case, we have that $\\ \mu = 55$ months, and $\\ \sigma = 3$ months.
To find the probabilities, we have to use the standard normal distribution, which has $\\ \mu = 0$ and $\\ \sigma = 1$ . The probabilities for this distribution are collected in the standard normal table, available in Statistics books or on the Internet. We can also use statistics programs to find these probabilities.
For most cases, we need to use the cumulative standard normal table, and for this we have to previously "transform" a raw score (x) into a z-score using the next formula: $\\ z = \frac{x - \mu}{\sigma}$ [1]. A z-score tells us the distance from the mean that a raw score is from it in standard deviations units. If this value is negative, the raw score is below the mean. Conversely, a positive value indicates that it is above the mean.
The cumulative standard normal table is made for positive values of z. Since the normal distribution is symmetrical around the mean, we can find the negative values of z using this formula: $\\ P(z$ [2].

Having all this information, we can solve the question.

<h3>The percentage of the manufacturer's grade A batteries that will last more than 49 months</h3>

First Step: Use formula [1] to find the z-score of the raw score x = 49 months.

$\\ z = \frac{49 - 55}{3}$

$\\ z = \frac{-6}{3}$

$\\ z = -2$

This means that the raw score is represented by a z-score of $\\ z = -2$ , which tells us that it is two standard deviations below the population mean.

Second Step: Consult this value in the cumulative standard normal table for z = 2 and apply the formula [2] to find the corresponding probability.

For a z = 2, the probability is 0.97725.

Then

$\\ P(z$

$\\ P(z2)$

But we are not asked for P(z<-2) but for P(z>-2) = P(x>49). This probability is the complement of the previous result, that is

$\\ P(z>-2) = 1 - P(z$

$\\ P(z>-2) = 1 - 0.02275$

$\\ P(z>-2) = 0.97725$

That is, the "percentage of the manufacturer's grade A batteries will last more than 49 months" is

$\\ P(z>-2) = 0.97725$ or about 97.725%

A graph below shows this result.

Notice that if we had used the 68-95-99.7 rule (also known as the empirical rule), that is, in a normal distribution, the interval between one standard deviation below and above the mean contains, approximately, 68% of the observations; the interval between two standard deviations below and above the mean contains, approximately, 95% of the observations; and the interval between three standard deviations below and above the mean contains, approximately, 99.7% of the observations, we could have concluded that 2.5 % of the manufacturer's grade A batteries will last less than 49 months, and, as a result, 1 - 0.025 = 0.975 or 97.5% will last more than 49 months.

We can conclude that with a less precise answer (but faster) because of the symmetry of the normal distribution, that is, 1 - 0.95 = 0.05. At both extremes we have 0.05/2 = 0.025 or 2.5% and we were asked for P(x>49) = P(z>-2) (see the graph below).

6 0

3 years ago

Simplify This Radical Expression

balandron [24]

Answer:

The answer is: -0.5198

Step-by-step explanation:

CUBERT(8) – CUBERT(16) is the cube root of 8 - cube root of 16:

CubeRT(8) - CubeRT(16) =

2 - 2.5198 = -0.5198

Hope this helps! Have an Awesome day!! :-)

5 0

2 years ago