Answer:
30.25 pi
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
11 pi = 2 * pi *r
divide each side by 2 pi
11/2 = 2 ( pi) * r/ ( 2pi)
11/2 = r
We can find the area by
A = pi * r^2
= pi ( 11/2) ^2
= pi ( 121/4)
= pi ( 121/4)
= 30.25 pi
Answer: The answer is −6p^2-23p-20
Answer:
The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.
Step-by-step explanation:
Mean SAT scores = 1026
Standard Deviation = 209
Mean ACT score = 20.8
Standard Deviation = 4.8
We are given SAT and ACT scores of a student and we have to compare them. We cannot compare them directly so we have to Normalize them i.e. convert them into such a form that we can compare the numbers in a meaningful manner. The best way out is to convert both the values into their equivalent z-scores and then do the comparison. Comparison of equivalent z-scores will tell us which score is higher and which is lower.
The formula to calculate the z-score is:

Here, μ is the mean and σ is the standard deviation. x is the value we want to convert to z score.
z-score for junior scoring 860 in SAT exam will be:

z-score for junior scoring 16 in ACT exam will be:

The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.
Answer:
Train B is traveling faster.
Step-by-step explanation:
To find which train is faster, divide the distance the train traveled by the elapsed time for each train:
Train A:
Distance traveled is 12.5 meters.
Elapsed time is 1 second.
12.5 ÷ 1 = 12.5
Train A travels 12.5 meters per second.
Train B:
Distance traveled is 100 meters.
Elapsed time is 4 seconds.
100 ÷ 4 = 25
Train B travels 25 meters per second.
25 is greater than 12.5, so train B travels faster.