Answer:
Approximately 68% of the apples have diameters that are between 7.08cm and 7.78cm.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 7.43cm, standard deviation of 0.35cm.
What percentage of the apples have diameters that are between 7.08cm and 7.78cm?
7.43 - 0.35 = 7.08 cm.
7.43 + 0.35 = 7.778 cm.
Within 1 standard deviation of the mean, so approximately 68% of the apples have diameters that are between 7.08cm and 7.78cm.
Answer:
Step-by-step explanation:
information from the range
If the range is 26 and the largest number is 31 then the smallest number is 31 - 26 = 5
Information from the median
The median must consist of 2 numbers because we have 6 integers for the data and median must consist of the middle 2. Since we are told that the median is 15 and we need 2 integers the other integer must be 15 as well..
So what do we know so far.
5 15 15 31
Information from the mean
There are six integers making up the series of numbers. The mean is 16. Therefore all 6 integers added together must be 6 * 16 = 96
What do we have so for?
5 + 15 + 15 + 31 = 66
What do the other two numbers sum to?
96 -66 = 30
Getting the answer.
The first number to try must be 13. It has to be below 15 (the median and odd. That's 13).
So now we have
5 13 15 15 ___ 31
But from the mean we need 30
30 - 13 = 17
And we have a winner because 17 is above 15.
Answer
5 13 15 15 17 31
Answer:
x = 84°
Step-by-step explanation:
180 - 143 = 37
37 + 59 = 96
180 - 96 = 84°
