IN this question, it is given that
For all real numbers b and c such that the product of c and 3 is b.
That is

Solving for c by dividing both sides by 3

And we have to find an expression , that represents the sum of c and 3 in terms of b. And sum of c and 3 is

Substituting the value of c

So the correct option is the last option .
The new balance on Jane Hilman's account is the answer when we add up all the previous balance, the credit, and the negative of the amount she withdrew. This gives us,
new balance = $1009.88 + $6.19 - $130
The numerical answer to the equation above is $886.07.
Answer:
The probability that the diagnosis is correct is 0.95249.
Step-by-step explanation:
We are given that the American Diabetes Association estimates that 8.3% of people in the United States have diabetes.
Suppose that a medical lab has developed a simple diagnostic test for diabetes that is 98% accurate for people who have the disease and 95% accurate for people who do not have it.
Let the probability that people in the United States have diabetes = P(D) = 0.083.
So, the probability that people in the United States do not have diabetes = P(D') = 1 - P(D) = 1 - 0.083 = 0.917
Also, let A = <u><em>event that the diagnostic test is accurate</em></u>
So, the probability that a simple diagnostic test for diabetes is accurate for people who have the disease = P(A/D) = 0.98
And the probability that a simple diagnostic test for diabetes is accurate for people who do not have the disease = P(A/D') = 0.95
<u>Now, the probability that the diagnosis is correct is given by; </u>
Probability = P(D)
P(A/D) + P(D')
P(A/D')
= (0.083
0.98) + (0.917
0.95)
= 0.08134 + 0.87115
= 0.95249
Hence, the probability that the diagnosis is correct is 0.95249.
Center of circle = (5,-6)
equation = (x-5)^2+ (x+6)^2 = 3^2