Answer:
6 hours and 20 minutes
Step-by-step explanation:
Answer: Side P R corresponds to Side T R.
Step-by-step explanation:
Given, Side P Q is parallel to Side S T.
Triangle PQR is similar to triangle TSR.
Corresponding sides of two similar triangles are proportional .
Here, side PQ corresponds to side TS [first two letters]
side QR corresponds to side SR [Last two letters]
side PR corresponds to side TR [First and last letter]
Hence, the correct option is "Side P R corresponds to Side T R. "
Answer:
the mean high temperature is 71 degrees and the mean low is 31 degrees
Step-by-step explanation:
Answer:
$14.93
Step-by-step explanation:
If the cost is per inch, then we need perimeter otherwise if the cost was per square inch we would have looked for the area.
Total cost=circumference* cost per inch
Circumference of a circle is given by
![C=2\pi r](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r)
Where r is radius. Substituting 4.75 inch for r then
![C=2\pi\times 4.75=29.857142857142\\C\approx 29.86 inch](https://tex.z-dn.net/?f=C%3D2%5Cpi%5Ctimes%204.75%3D29.857142857142%5C%5CC%5Capprox%2029.86%20inch)
Cost=29.86*0.50=$14.93
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).