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Answer:
0.36 = 36% probability that the land has oil and the test predicts it
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
45% chance that the land has oil.
This means that 
He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil.
This means that 
What is the probability that the land has oil and the test predicts it?
This is
. So


0.36 = 36% probability that the land has oil and the test predicts it
Answer:
5cm
Step-by-step explanation:
Find the diagram attached.
From ΔBCD, ∠BCD = 90-∠ACD
∠BCD = 90-60
∠BCD = 30°
Also tan60 = CD/BD
tan 60 = CD/5
CD = 5tan60
CD = 5√3 cm
Similarly from ΔACD, tan30 = CD/AD
tan30 = 5√3/AD
AD = 5√3/tan30
AD = 5√3/(1/√3)
AD = 5√3 * √3/1
AD = 5 cm
Hence the length of side AD is 5cm
Given that Andre rode his bike at a constant speed.
Number of miles driven = 1 mile
Time taken to drive 1 mile = 5 minutes.
Then speed can be calculated using formula:
Speed = Distance / Time
Now we have to find the amount of time t (in minutes) taken by him to right distance d so we can again use same formula.
Speed = Distance / Time
or
Time = Distance / Speed
Plug the given values
t = 5d