Answer:
1) .65 --> 13/20 --> 65%
2) .14 --> 7/50--> 14%
3) .05 --> 1/20 --> 50%
4) .76 --> 19/25 --> 76%
5) .05
6) C .125
7) B
8) 1/8 --> .125 --> 12.5%
9) do 8 squares and 6 colored --> 6/8 --> .75 --> 75%
Try the rest by yourself ask for help if needed
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
9514 1404 393
Answer:
4
Step-by-step explanation:
The 10 non-yellow counters in the bag represent 5/7 of the total number of counters, c.
10 = (5/7)c
10(7/5) = c = 14
There are 14 counters in the bag, of which 14-10 = 4 are yellow.
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<em>Alternate solution</em>
Let y represent the number of yellow counters in the bag. The probability of drawing a yellow counter is the number of yellow counters divided by the total number of counters:
y/(y +3 +7) = 2/7
Multiply both sides of this equation by 7(y+10) to get ...
7y = 2(y +10)
7y = 2y +20 . . . . eliminate parentheses
5y = 20 . . . . . . . . subtract 2y
y = 20/5 = 4 . . . . divide by the coefficient of y
There are 4 yellow counters in the bag before any are taken.
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<em>Another alternate solution</em>
If the probability of yellow is 2/7, the ratio of yellow (y) to non-yellow is ...
yellow : non-yellow = 2 : (7-2) = 2 : 5 = y : (3+7) = y : 10 = 4 : 10
⇒ y = 4
There are 4 yellow counters in the bag.
Volume of the conical tank = 1/3pi*r^2 * h = 1/3pi * (10/2)^2 * 15 = 125pi cubic feet or 392.7 cubic feet = 392.7 * 7.48 gallons = 2937 gallons.
Volume of the hemispherical tank = 2/3pi * r^3 = 2/3pi * (5.5)^3 = 348.5 cubic feet = 348.5 * 7.8 gallons = 2606 gallons
Hence the conical tank will contain more chemicals
Answer:
P=152
A=79
Step-by-step explanation:
add all the sides
