Answer:
For two fractions to be proportional, they must be equivalent. 32=1.5 and 188=2.25 , so these fractions are not proportional.
Step-by-step explanation:
A rectangle has four sides. We know that two of those sides are 10 inches long. Had what mean that those two sides are 20 inches long. That leaves 40 inches of perimeter left. If we divide that by two we get 20. That means that the two remaining sides are 20 inches long. To check your answer add each side together.
20+20+10+10=60
The rectangle is 20 inches long.
Draw 4 squares. The perimeter is 10 because the width is 4 and the length is 1. So 4 x 2 is 8 and 1 x 2 is 2. And 8 + 2 = 10.
Answer:
![-0.674 = \frac{X -0.904}{0.295}](https://tex.z-dn.net/?f=%20-0.674%20%3D%20%5Cfrac%7BX%20-0.904%7D%7B0.295%7D)
![X= 0.904 -0.674*0.295 = 0.705](https://tex.z-dn.net/?f=%20X%3D%200.904%20-0.674%2A0.295%20%3D%200.705)
![0.674 = \frac{X -0.904}{0.295}](https://tex.z-dn.net/?f=%200.674%20%3D%20%5Cfrac%7BX%20-0.904%7D%7B0.295%7D)
![X= 0.904 +0.674*0.295 = 1.103](https://tex.z-dn.net/?f=%20X%3D%200.904%20%2B0.674%2A0.295%20%3D%201.103)
So we expect about 50% of the middle values within 0.705 and 1.103 g
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 amounts of nicotine in a certain brand of a population, and for this case we know the distribution for X is given by:
Where
and
And the best way to solve this problem is using the normal standard distribution and the z score given by:
We want to find a two values that accumulates the middel 50% of the data. So we need to find a quantile who accumulates (1-0.5)/2 = 0.25 of the area on each tail and we got:
![z = \pm 0.674](https://tex.z-dn.net/?f=%20z%20%3D%20%5Cpm%200.674)
Since P(Z<-0.674) = 0.25 and P(Z>0.674) =0.25. And using this value we can find the possible values of X
![-0.674 = \frac{X -0.904}{0.295}](https://tex.z-dn.net/?f=%20-0.674%20%3D%20%5Cfrac%7BX%20-0.904%7D%7B0.295%7D)
![X= 0.904 -0.674*0.295 = 0.705](https://tex.z-dn.net/?f=%20X%3D%200.904%20-0.674%2A0.295%20%3D%200.705)
![0.674 = \frac{X -0.904}{0.295}](https://tex.z-dn.net/?f=%200.674%20%3D%20%5Cfrac%7BX%20-0.904%7D%7B0.295%7D)
![X= 0.904 +0.674*0.295 = 1.103](https://tex.z-dn.net/?f=%20X%3D%200.904%20%2B0.674%2A0.295%20%3D%201.103)
So we expect about 50% of the middle values within 0.705 and 1.103 g
Answer:
y=3x-14
Step-by-step explanation:
if its parallel
they it must be y=3x+b
and plug in x and y
you get the answer
Hope this help ya
<3
Red