In a writing competition, the first place winner receives 1/2 of the prize money. The second runner up receives 1/4 of what the
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A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank 1/3 of the remaining water.
How much water, in milliliters, does the student have left in the bottle?
Answer:
the amount of water the student have left in the bottle is 250 milliliters
Step-by-step explanation:
A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank 1/3 of the remaining water.
How much water, in milliliters, does the student have left in the bottle?
Before the soccer practice, she drank 25 % of the water
25% of the water = 25% of 500
= 25% × 500
= × 500
At the right hand-side of the equation, the two zeros will cancel-out the other two zeros, hence;
= 25 × 5
=125
25% of the water = 125 milliliters
From the question, it was said that drank 25% of the water before soccer, this implies that she drank 125 milliliters from the water bottles.
If she drank 125 milliliters of from a 500 milliliters water contain in the water bottle, then the amount of water left will be 500 ml - 125 ml = 375 ml
This implies that before the soccer practice she had 375 milliliters of water left in the water bottle.
After the practice, she drank 1/3 of the remaining water, which means after the practice she drank 1/3 of 375
1/3 of 375 = × 375 =
= 125
After the practice she drank 125 milliliters of water from her 375 milliliters water.
The amount of water she have left after the practice will be;
375 milliliters - 125 milliliters = 250 milliliters
Therefore, the amount of water the student have left in the bottle is 250 milliliters
THIS IS THE COMPLETE QUESTION BELOW;
In Littletown, the probability that a baseball team goes to the city playoffs is 0.30. the probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.20.
What is the probability that a randomly selected team from Littletown goes to the city and state playoffs?
A. 0.10
B.0.50
C. 0.66
D. 0.06
Answer:
OPTION D is correct
d)0.06
the probability that a randomly selected team from Littletown goes to the city and state playoffs is
Step-by-step explanation:
The probability that a baseball team goes to city playoffs is 0.30.
P(baseball team goes to city playoffs)=0.30
The probability that the team goes to state playoffs given that the team goes to the city playoffs is 0.20.
P(team goes to state playoffs given that the team goes to the city playoffs)=0.20
From our knowledge of set, we know that
P(A | B)= P(A ∩ C)/P(C)
where A= city playoffs
B= state playoffs
P(State play off | city play off)=0.20
P(State play off ∩ city play off)/P(city play off,)=0.20
P(State play off ∩ city play off)/0.30 =0.20
P(State play off ∩ city play off)= 0.30 × 0.20
= 0.06
Hence,the probability that a randomly selected team from Littletown goes to the city and state playoffs is 0.06