Answer:
Step-by-step explanation:
Total number of students =100
Number who bought pop corn = 62
Number who bought drinks = 47
Number who bought both =38
Hence number who did not purchase anything = 100-(62+47-38)
=29
Prob that students buys a drink = 47/100 = 0.47
PROB THAT THE student buys a drink/he purchsaed pop corn
= Number for both/number of pop corn
=38/62 =0.613
P(buying pop corn) = 0.62 and P(drink) = 0.47
Product of these = 0.62*0.37=0.2356
Thus we find product is not equal to Prob of purchsing both
Hence cannot be independent
Answer:
11 hours
Step-by-step explanation:
I came up with this answer by dividing the IV infiltrate in the bag by the rate. This gave the completion time.
Volume of IV infiltrate = 330ML
Rate at which it was running = 30 ML/hour
The IV completion time = volume/rate
= 330 ML/30 ML
= 11 hours
Therefore the IV completion time is 11 hours.
Answer:
9
Step-by-step explanation:
The number of darts that failed to hit the bulls eye is 40% of 15 subtracted from 15
Since 40% of the darts hit the bulls eye .
Therefore
40% of 15
40/100 x 15
0.4 x 15
6
This means that 6 darts hit the bulls eye.
Therefore,number of darts that did not hit the bulls eye is
15 - 6 = 9
9 darts failed to hit the bulls eye
Given expression is
![\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%5Cfrac%7B16x%5E%7B11%7Dy%5E8%7D%7B81x%5E7y%5E6%7D%7D)
Radical is fourth root
first we simplify the terms inside the radical
So the expression becomes
![\sqrt[4]{\frac{16x^4y^2}{81}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%5Cfrac%7B16x%5E4y%5E2%7D%7B81%7D%7D)
Now we take fourth root
![\sqrt[4]{16} = 2](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D%20%3D%202)
![\sqrt[4]{81} = 3](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%7D%20%3D%203)
![\sqrt[4]{x^4} = x](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E4%7D%20%3D%20x)
We cannot simplify fourth root (y^2)
After simplification , expression becomes
![\frac{2x\sqrt[4]{y^2}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%5Csqrt%5B4%5D%7By%5E2%7D%7D%7B3%7D)
Answer is option B
