Answer:
Y=-2x+5 (3 or C)
Step-by-step explanation:
Replace the value of x
Y= -2x(-1)+5
Solve
Y= 2+5
Y= 7
Answer: It is not enough evidence to support the researcher's claim.
Step-by-step explanation:
Since we have given that
n = 500

So, the hypothesis are as follows:

So, the z value would be

At α = 0.05
z= -1.64
So, 1.64<-1.33
So, we accept the null hypothesis.
Hence, it is not enough evidence to support the researcher's claim.
Answer:
3
Step-by-step explanation:
Answer:

So then the expected value in the long run for this case would be 19 millions
Step-by-step explanation:
Previous concepts
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete. And is defined as:

For 
Solution to the problem
Let's define the random variable X as the expected return for a new drug.
For this case we expected a return of X=750 millions with a probability of 0.14. We assume that p is the probability of success for this case p =0.14.
And the probability of no success on this case would be q = 1-p = 1-0.14 =0.86. And the cost associated for this case would be X= -100 million
If we use the definition of expected value we have this:

So then the expected value in the long run for this case would be 19 millions