8 cm What is the area of the circle
1 answer:
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Answer:
a)
H - H - H
H - H - T
H - T - H
H - T - T
T - H - H
T - H - T
T - T - H
T - T - T
b)
0.125 = 12.5% probability that all three coins come up heads.
0.875 = 87.5% probability that there will be at least one tail.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Question a:
Considering H for heads, T for tails:
H - H - H
H - H - T
H - T - H
H - T - T
T - H - H
T - H - T
T - T - H
T - T - T
(b) What is the probability that all three coins come up heads?
One outcome(H - H - H) out of 8, so:
0.125 = 12.5% probability that all three coins come up heads.
Notice that the complement of the event "3 heads" is "at least one tail." Use this information to compute the probability that there will be at least one tail.
Sum of these probabilities is 100%, so:
1 - 0.125 = 0.875
0.875 = 87.5% probability that there will be at least one tail.
Answer:
<u>Question 1:</u>
5 pints per hour
<u>Question 2:</u>
480 tons per day
<u>Question 3:</u>
12 miles per gallon of gasoline
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Step-by-step explanation:
<u>Question 1:</u>
<h2><em>In the morning;</em></h2>A farm worker packed 3 pints of grapes every 4 minutes.
1 minute = hours
Packing rate in pints per hour = 3 pints ÷ hours = 45 pints per hour
She packed 2 pints of grapes every 3 minutes.
Packing rate in pints per hour = 2 pints ÷ hours = 40 pints per hour.
The difference between her morning and afternoon packing rates (in pints per hour) = 45 pints per hour - 40 pints per hour = 5 pints per hour
<u>Question 2:</u>
A recycling plant processes an average of tons of glass each minute.
1 hour = 60 minutes
The number of tons of glass processed in 1 hour is:
× 60 = 20 tons of glass in 1 hour.
1 day = 24 hours
Number of tons of glass processed in a day = 20 tons × 24 = 480 tons
<u>Question 3:</u>
A vehicle uses 1 gallons of gasoline to travel 13
miles.
Per 1 gallon of gasoline the vehicle will travel:
1 × 13 ÷ 1
= 12 miles