Jason inherited a piece of land from his great-uncle. owners in the area claim that there is a 45% chance that the land has oil. jason decides to test the land for oil. he buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. what is the probability that the land has oil and the test predicts it?

0.09 or 9%.            

Step-by-step explanation:  

We have been given that Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil.

We will use conditional probability formula to get our answer.

We have been given that probability that land has oil is 45% or 0.45.

Let us find the probability that test predicts an inaccurate result. As probability of predicting an accurate test is 80%, so probability that test will be inaccurate will be 100%-80%=20% or 0.20.  

Therefore, the probability that the land has oil and the test predicts it will be 0.09 or 9%.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse