Answer: Expected number of tests = 5.013
Step-by-step explanation:
Define random variable X that marks the number of tests required for some certain
group. Observe that if the test is negative for all the people (which has probability 0.95), we make one and only one test. If some of the people is tested positive, we make ten additional tests for every person in that group separately. Hence, the expected number of tests will be for if they are all negative (1 test) and the case of at least one person testing positive (11 tests).
That Is,
E(X) = 1(0.95^10) + 11(1 - (0.95^10))
E(X) = 0.5987 + 4.414 = 5.013
Draw a line from point Q to point A. Then draw another line segment from point Q to point A'. These lines are marked in red in the attached image (figure 1). Notice we have a 90 degree angle form. To go from A to A', we rotate 90 degrees counterclockwise (green angle in figure 2). Or we can rotate 270 degrees clockwise (gray angle in figure 2).
So that's why the two answers are:
choice B) 90 degrees counterclockwise
choice D) 270 degress clockwise
Side Note: the other points (B, C, and D) will follow a similar rotation path compared to point A. Either rotate those preimage points 90 degrees counterclockwise or 270 degrees clockwise so they match with their respective image points. All rotations are done around point Q.
Answer:
80 blocks
Step-by-step explanation:
since its 5 days of school (mon. , Tues., wed., thurs., fri.,) and he travels 8 blocks to school and from school which would be a total of 16 blocks a day, 5 days of school times 16 blocks a day would be 80 blocks a week (5×16)
Answer:
2³×7
Step-by-step explanation:
Answer a=3f+g/b+x
Step-by-step explanation:
Let's solve for a.
a(x+b)=g+3f
Step 1: Factor out variable a.
a(b+x)=3f+g
Step 2: Divide both sides by b+x.
a(b+x)/b+x=3f+g/b+x
a=3f+g/b+x