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polet [3.4K]
3 years ago
13

What is 2x (to the second power)y (to the fourth power ) times 4x (squared) y (to the fourth power) times 3x over 3x (negative t

hird power) y(squared)
Mathematics
1 answer:
Oxana [17]3 years ago
5 0
2x^2y^4*4x^2y^4*\frac{3xy^2}{3x^{-3}}= 8x^4y^8* \frac{3xy^2}{1}*\frac{3x^3}{1}= \\\\ =8x^4y^8*9x^4y^2= \\\\ =\boxed{72x^8y^{10}}
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Use a net of the square pyramid, if necessary, to find the surface area of the pyramid.
katen-ka-za [31]

Answer:

128 if it wants the whole thing than 192

Step-by-step explanation:

8 0
2 years ago
Factor 1/7 out of 1/7x+27/7
Vera_Pavlovna [14]
<span>1/7(x) +27/7
= 1/7 (x + 27)

hope it helps</span>
7 0
3 years ago
Read 2 more answers
The mean annual income for people in a certain city is 37 thousand dollars, with a standard deviation of 28 thousand dollars. A
Aloiza [94]

Answer:

P( 31 < \bar X< 41)

And we can ue the z score formula given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using this formula we got for the limits:

z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515

z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01

So we want to find this probability:

P(-1.515

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the annual income of a population, and for this case we know the following info:

\mu=37 and \sigma=28  and we are omitting the zeros from the thousand to simplify calculations

We select a sample size of n=50>30.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want to find this probability:

P( 31 < \bar X< 41)

And we can ue the z score formula given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using this formula we got for the limits:

z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515

z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01

So we want to find this probability:

P(-1.515

4 0
2 years ago
The video game store charges 30$ for 4 used games. Which equation could the store use to find how many dollars d they should cha
Lilit [14]

Answer:30 divided by 4 equals 7.5

Step-by-step explanation:

4 0
3 years ago
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The table below shows the number of hours some college athletes in two states spend on indoor sports each week:
svet-max [94.6K]
Arrange the data set in ascending order:
State A:   4,   5,    6,   6,   7,    8,   9,  21,  25
State B: 10, 11, 12, 13, 14, 14, 15, 15,  16

5 number summary:
                             State A         State B
minimum                 4                  10
Q1                            5.5               11.5
median                    7                  14
Q3                          15                  15
maximum              25                 16
IQR                         9.5                  3.5

The box plot are not symmetric. The distance of the median from each Q1 and Q3 should be equal for the box plot to be symmetric.
5 0
3 years ago
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