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:
There will be 10 teams and 8 children left over.
Step-by-step explanation:
12 * 10 = 120. This is the closest you can get to 128 without going over, so that means there will be 10 teams of 12 children. 128 - 120 = 8. Therefore, there are 8 children left over.
Answer:
71
Step-by-step explanation:
1/71 * ? = 1
1/71 * x = 1 [consider 'x']
x = 1/(1/71)
x = (1/1)/(1/71) [1 = (1/1)]
x = (1/1)* (71/1)
x = 71.
Hope you're satisfied.
Answer: WZ
The sequence ABCD has AD as the first and last letters of that sequence, so this pattern applies to WXYZ as well to pull out WZ. Angle A pairs up with angle W because they are both the first letters of the sequences. These angles are congruent from the fact that the parallelograms are similar. The same can be said for angle D and angle Z.
note: WZ is the same as ZW. The order doesn't matter when it comes to labeling segments based on endpoints.
(x + 4)^4 = x^4 + 16x^3 + 96x^2 + 256x + 256
