Answer:
16% of students will complete the exam in less than 60 minutes
Step-by-step explanation:
The Empirical Rule(68-95-99.7) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 70
Standard deviation = 10
What percentage of students will complete the exam in less than 60 minutes
60 = 70-10
So 60 is one standard deviation below the mean
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean, that is, from 60 to 80 minutes. The other 100-68 = 32% is outside this interval. Since the normal distribution is symmetric, 16% of those are below 60 and 16% of those are above 80.
16% of students will complete the exam in less than 60 minutes
Answer:
Step-by-step explanation:
recall law of Sines Sin(A) /a = Sin(B) / b
for this question
F = A = 105 and a = 37
E = B and b = 28
then plug those into our law of Sines equations
Sin(105) / 37 = Sin(B) / 28
0.025846 = Sin(B) / 28
28 * 0.025846 = Sin(B)
0.72369 = Sin(B)
arcSin(0.72369) = arcSin ( Sin ( B ) )
46.3599 = B
E = 46° ( rounded to the nearest degree)
6^2 is 36. / 3 makes 12. 12+6 is 18. final answer, most likely 18.
Answer: the answer is A
Step-by-step explanation: 400 times 2.5 is 1000 and 250 times 2.5 is 625 and together they equal 1625
