The number of hours walked varies inversely with the speed of the walker. if it takes sam 12 hours to complete his walking goal
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Answer:
Volume of the hive is 4712.4 square inches.
Step-by-step explanation:
Since hive has the shape of a cone with radius = 15 inches and height = 20 inches
Therefore, volume of the given cone =
Area of the circular base = πr²
Area = π(15)²
= 225π
Volume of the cone =
= 1500π
= 4712.39
≈ 4712.4 square inches
Therefore, volume of the hive is 4712.4 square inches.
Conditional probability is a measure of the probability of an event given that another event has occurred. If the event of interest is A and the event B is known or assumed to have occurred, "the conditional probability of A given B", or "the probability of A under the condition B", is usually written as P(A|B), or sometimes 
.
The conditional probability of event A happening, given that event B has happened, written as P(A|B) is given by
In the question, we were told that there are three randomly selected coins which can be a nickel, a dime or a quarter.
The probability of selecting one coin is
Part A:
To find <span>the probability that all three coins are quarters if the first two envelopes Jeanne opens each contain a quarter, let the event that all three coins are quarters be A and the event that the first two envelopes Jeanne opens each contain a quarter be B.
P(A) means that the first envelope contains a quarter AND the second envelope contains a quarter AND the third envelope contains a quarter.
Thus
</span><span>P(B) means that the first envelope contains a quarter AND the second envelope contains a quarter
</span><span>Thus
Therefore,
Part B:
</span>To find the probability that all three coins are different if the first envelope Jeanne opens contains a dime<span>, let the event that all three coins are different be C and the event that the first envelope Jeanne opens contains a dime be D.
</span><span>
</span><span>
</span><span>
Therefore,
</span>
The conditional probability of event A happening, given that event B has happened, written as P(A|B) is given by
In the question, we were told that there are three randomly selected coins which can be a nickel, a dime or a quarter.
The probability of selecting one coin is
Part A:
To find <span>the probability that all three coins are quarters if the first two envelopes Jeanne opens each contain a quarter, let the event that all three coins are quarters be A and the event that the first two envelopes Jeanne opens each contain a quarter be B.
P(A) means that the first envelope contains a quarter AND the second envelope contains a quarter AND the third envelope contains a quarter.
Thus
</span><span>P(B) means that the first envelope contains a quarter AND the second envelope contains a quarter
</span><span>Thus
Therefore,
Part B:
</span>To find the probability that all three coins are different if the first envelope Jeanne opens contains a dime<span>, let the event that all three coins are different be C and the event that the first envelope Jeanne opens contains a dime be D.
</span><span>
</span><span>
Therefore,