HELP PLEASE ! What is 8x^3+3+6x^2+4x factored? (Show steps please !)

The weights of ice cream cartons are normally distributed with a mean weight of 1313 ounces and a standard deviation of 0.50.5 o

asambeis [7]

Answer:

a) We are interested on this probability

$P(X>13.17)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>13.17)=P(\frac{X-\mu}{\sigma}>\frac{13.17-\mu}{\sigma})=P(Z>\frac{13.17-13}{0.5})=P(z>0.34)=0.367$

b) $P(\bar X >13.17)$

The new z score is given by:

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

And replacing we got:

$P(\bar X >13.17)=P(Z> \frac{13.17-13}{\frac{0.5}{\sqrt{36}}})= P(Z>2.04) =0.0207$

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".

Part a

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(13,0.5)$

Where $\mu=13$ and $\sigma=0.5$

We are interested on this probability

$P(X>13.17)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>13.17)=P(\frac{X-\mu}{\sigma}>\frac{13.17-\mu}{\sigma})=P(Z>\frac{13.17-13}{0.5})=P(z>0.34)=0.367$

Part b

Since the distribution for X is normal then we can conclude that the distribution for the sample mean $\bar X$ is given by:

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

And we want this probability:

$P(\bar X >13.17)$

The new z score is given by:

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

And replacing we got:

$P(\bar X >13.17)=P(Z> \frac{13.17-13}{\frac{0.5}{\sqrt{36}}})= P(Z>2.04) =0.0207$

3 0

4 years ago

Number of Bars

Montano1993 [528]

Answer: Disagree. 1 in 8 bars are cinnamon.

Step-by-step explanation:

There are a total of 8 bars in the pack. Cinnamon is 1 of the 8. Therefore, for every 8 bars, one is cinnamon.

7 0

3 years ago

A piece for a board game is shaped like a triangular prism. The piece is 18 millimeters long. The base of the piece is an equila

Bogdan [553]

We can solve for the surface area of the triangular prism using the formula below:
SA=bh + (s1+s2+s3) H
where b for the base, h and H for the height while s1, s2 and s3 for the length of the sides of the equilateral triangles.
Solution is shown below:
SA=10*9+(10*10*10) *18
SA=90+(1000*18)
SA=1,620,000 u²

6 0

3 years ago

If segment ST is 5x +1 and segment TQ is 2(x+5) what is the measure of SQ. (ST and TQ are congruent)

yaroslaw [1]

Sq is equal to 27 you have to set St and tq equal to find x then substitute it in

6 0

4 years ago

Help and quick I really need this

jeka57 [31]

-3(4x - 2) - 2x

-12x + 6 - 2x

-14x + 6

The correct answer is D. -14x + 6

8 0

3 years ago