Step-by-step explanation:
As seen from the graph, f(x) and g(x) intersect each other when x = 3.
Hence, f(3) = g(3).
Answer:
39.17% probability that a woman in her 60s who has a positive test actually has breast cancer
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test.
Event B: Having breast cancer.
3.65% of women in their 60s get breast cancer
This means that 
A mammogram can typically identify correctly 85% of cancer cases
This means that 
Probability of a positive test.
85% of 3.65% and 100-95 = 5% of 100-3.65 = 96.35%. So
What is the probability that a woman in her 60s who has a positive test actually has breast cancer?
39.17% probability that a woman in her 60s who has a positive test actually has breast cancer
MARK BRAINLIEST!!
So your solution is.
=−5
Answer:
3V
r = ∛ ( ---------- )
4π
Step-by-step explanation:
Please, enclose the fraction 4/3 inside parentheses, to eliminate any possibility of misreading this fraction. Also note that this formula MUST include "pi," symbolized by π.
V = (4/3) π r³ This formula does NOT include "m," which is a unit of measurement, not a variable.
Our task is to solve this formula for the radius, r.
Divide both sides by (4/3) π, to isolate r³. This results in:
v (4/3) π r³
------------- = -----------------
(4/3) π (4/3) π
V 3V
Then r³ = -------------- = --------
(4/3) π 4π
and r is found by taking the cube root of the above result:
3V
r = ∛ ( ---------- )
4π
Answer D. 51
Step-by-step explanation:
Sum of the interior angles of a triangle is up to 180
.: 32+(2x-15) + (x-5) = 180
Group like terms
2x+x =180 - 32 + 15 + 5
When - and + sign cross equal sign it turns to the opposite
3x = 168
x= 168/3
.: X =56
Now put x = 56 in (x - 5)
Angle ABC = 51
