Answer:
468.74.
Step-by-step explanation:
We have been given that z varies directly as x and inversely as y. We can represent this information in an equation as:
![z=\frac{kx}{y}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bkx%7D%7By%7D)
First of all, we will find constant of variation using our given equation.
![226=\frac{k\cdot 3}{8}](https://tex.z-dn.net/?f=226%3D%5Cfrac%7Bk%5Ccdot%203%7D%7B8%7D)
![226\cdot \frac{8}{3}=\frac{k\cdot 3}{8}\cdot \frac{8}{3}](https://tex.z-dn.net/?f=226%5Ccdot%20%5Cfrac%7B8%7D%7B3%7D%3D%5Cfrac%7Bk%5Ccdot%203%7D%7B8%7D%5Ccdot%20%5Cfrac%7B8%7D%7B3%7D)
![\frac{1808}{3}=k](https://tex.z-dn.net/?f=%5Cfrac%7B1808%7D%7B3%7D%3Dk)
Upon substituting our given values in our equation, we will get:
![z=\frac{\frac{1808}{3}\cdot 7}{9}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B%5Cfrac%7B1808%7D%7B3%7D%5Ccdot%207%7D%7B9%7D)
![z=\frac{1808\cdot 7}{9\cdot 3}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B1808%5Ccdot%207%7D%7B9%5Ccdot%203%7D)
![z=\frac{12656}{27}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B12656%7D%7B27%7D)
![z=468.740\approx 468.74](https://tex.z-dn.net/?f=z%3D468.740%5Capprox%20468.74)
Therefore, z is approximately 468.74.
Answer:
or 9765625/2 (if it's too small to read)
Step-by-step explanation:
(
) or 25exponent 5/2
I hope this was helpful :/
I believe the answer is A
but i’m not 100% sure
Let A represents the event that DVD has a video effect.
So,
P(A) = 1.5 %
Let B represents the event that DVD has a audio defect.
So,
P(B) = 0.8 %
A ∩ B represents that DVD has both audio and video defect.
So,
P(A∩B) = 0.4%
Part a)
A ∪ B represents that DVD has a video or audio defect.
P(A∪B) = P(A)+P(B)-P(A∩B) = 1.5 + 0.8 - 0.4 = 1.9%
Thus the probability that the DVD purchased by the customer has a video or audio defect is 1.9%.
Part b)
The complement of P(A∩B) will represent the probability that the DVD does not have video or audio defect.
So, the probability that DVD purchased by customer does not have video or audio defect is 1 - 0.4 = 0.96%
Answer:
$7.5
Step-by-step explanation:
Let
Quantity of stickers=x
Price of stickers=y
5 stickers cost $3
12 stickers cost $y
x/y = x/y
5/3 = 12/y
Cross product
5y=12*3
5y=36
Divide both sides by 5
5y/5 = 36/5
y=7.5
12 stickers= $7.5
Therefore, the price of 12 stickers= $7.5