Answer:
probability that an athlete who tests positive is actually a user
= 0.2177
Step-by-step explanation:
To solve this problem, we create a table that relates the test results and the status of the athletes.
We arbitrarily take a sample of 10000 atheletes to work with whole numbers.
Out of that, 300 are users (3% on the average), and 9700 are non users.
Of the users, 270 users will test positive (90% accuracy) and 30 will test negative.
Similarly, of the non-users, 970 will test positive, and 8730 will test negative.
This gives 1240 positive tests, and 8760 negative tests.
Of the 1240 who test positive, 270 are actually users.
Therefore the probability of the positive test results are actually users
= 270/1240 = 0.2177
Answer:
The factored form is
.
Step-by-step explanation:
Given :
We have to write the given expression in factored form.
Factor form of an expression is writing the expression in lower power form such that the product of factors given the original expression
Consider the given expression .
We know the algebraic identity
Here .
Comparing with identity stated above , we have x= a , b = 11 , thus, we get
.
Thus, the factored form is
.
Answer : option C, 5x2 + 32x − 21
In the rectangle, the length = 5x - 3 and width = x + 7
We know the formula for area of rectangle = length * width
Area of rectangle = (5x-3)(x+7)
WE multiply it using FOIL method
F - First terms, 5x * x =
O- Outer terms, 5x * 7 = 35x
I - Inner terms, -3 * x= -3x
L - Last terms, -3 * 7 = -21
Now we add all the terms
combine like terms
So area of a rectangle =