Answer:
The problem has no real solution, because the area of inside of the frame is bigger than the total area of the frame.
Step-by-step explanation:
Any way here is the mathematical explanation/solve to this statement.
As show in the graphic, there is a representation of the situation stated in the problem. So in order to calculate the area we have the next equation as a function of x.
Area:

Solving the equation to find the roots (values of x):

So mathematically there is no real answer, since x is a width must be positive number. And practically the outer area must be bigger than the inner area, and the inner area is given by 6 times 11, or 66
.
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.
Probability=desired outcomes/total possible outcomes
so
desired outcomes is the 'not wedding' photos
there are 4 vacation and 8 holiday
so 12 'not wedding' photos
12=desired outcomes
total outcomes is 13+4+8=25
so the probablity would be 12/25 or about 48%
Answer:
Step-by-step explanation:
its volume is h.r^2.ℼ
r = radius
h = height
5 x (5x5) x ℼ = 125ℼ
125ℼ is approximately 392.7