1011.59 rounded off to 1011.6 (OPTION THREE)
The volume of the gallon is 6000 gallon
the rate of water flow per min is f(t)=300t^2
a] amount of water that flowed in the first 7 minutes=7/60 hours will be:
f(7)=300(7/60)^2
solving the above we get
f(7)=7/12 gallons
b] The time taken for the tank to be empty will be as follows:
amount of water that will flow out for the tank to be empty will be 6000 gallons
thus,
6000=300t^2
this can be simplified to
20=t^2
t^2-20=0
solving this we get:
t=-2√5 or 2√5
the time taken for the tank to be empty will be t=2√5 hours=5.4721 hours
Answer:
Easy-peasy.
Step-by-step explanation:
2.45/2.10 = 1.167 (rounded to the nearest tenth of a cent).
That is, 2.45 is 116.7% of 2.10
Since $2.10 is 100% of 2.10,
2.45 is a 16.7 increase.
Answer:
38.485(correct to 5 significant figure)/ 12.25π
Step-by-step explanation:
=38.485(cor. to 5 sig.fig.)/ 12.25π
to find arc length of sector,we need to π(radius²)(sector's degree divided by 360 degree)
Answer:
1500p
Step-by-step explanation:
The spinner A has 4 possible values, and the spinner B has 3 possible values, so the total number of possibilities for both spinners is the product of these number of possibilities:
4 * 3 = 12
From these 12 possible pair of values, the ones that give a sum of 7 are:
(6,1), (4,3) and (2,5).
We have 3 cases where the sum is 7, so the probability of having a sum of 7 is 3/12 = 25%. Therefore, the probability of not having a sum of 7 is 75%
To find the expected value, we multiply the probability of each case by the value it would give. If the player wins, the school loses 10p (the player paid 20p and earned 30p), and if the player loses, the school wins 20p. So the expected value of 120 games is:
120 * (0.25 * (-10) + 0.75 * (20)) = 1500p
