Answer:
B.
Step-by-step explanation:
Volume of the model of moon = 4/3(πr³)
= 4/3(π)(1)³
= 4.2 feet³
Volume of cylinder = πr²h
= (3.14)(0.5)²(0.5)
= 0.39 feet³
Cylindrical clay boxes to be used = 4.2/0.39
=10.7 ≈ 11
2b^2 - 2b
2b(b - 1) is your answer
hope this helps
H = 45 - 35sin (2 pi T/3)
H = rider's height above the ground, in feet
T = time since the ride started, in minutes.
Note:
The first time the ride stops to take passengers on or let them off, the equation crumbles.
9514 1404 393
Answer:
136
Step-by-step explanation:
The attached chart shows the result of using the numbers in the problem statement to calculate the percentage of the population in each category.
95% accuracy on infected individuals is assumed to mean that 95% of the 2% who are infected return a positive test result. The other 5% return a negative test result.
Similarly, 90% accuracy on uninfected individuals is assumed to mean that 90% of the 98% who are not infected will return a negative test result, and the remaining 10% of those 98% will return a (false) positive test result.
Then of the 11.7% who return a positive test result, only 1.9% are actually infected. This fraction is a/b = 19/117, so ...
a + b = 19 + 117 = 136
_____
<em>Additional comment</em>
When forming ratios of percentages, one must be very clear about the base of the percentage. Above, the base for every percentage is the entire population of mathletes. The fraction 19/117 is the fraction of those who tested positive that are actually infected (about 16.2% of positives).