Answer:
83.85%
Step-by-step explanation:
We will use the empirical rule. For a standard normal distribution the mean is equal to 0 and the standard deviation is equal to 1. Then, between 3 standard deviations below the mean, we have 2.35% + 13.5% + 34% = 49.85% of data, and 1 standard deviation above the mean we have 34% of data. Therefore, the percentage of data that are between 3 standard deviations below the mean and 1 standard deviation above the mean is 49.85%+34% = 83.85%.
Answer:
John need to remove <u>4760 cubic feet</u> of dirt.
Step-by-step explanation:
Given:
John is digging a hole for a swimming pool,the hole will be 28 feet long, 5 feet wide, 34 feet wide.
Now, to find the cubic feet of dirt John need to remove.
Length = 28 feet.
Width = 5 feet.
Height = 34 feet.
<u><em>As the swimming pool is in the shape of a rectangular prism.</em></u>
So, we put formula of volume to get the cubic feet of dirt need to remove:
Therefore, John need to remove 4760 cubic feet of dirt.
Answer:
And in the figure attached we see the limits with the percentages associated.
Step-by-step explanation:
For this case we know that the random variable of interest is the scores on a test given to all juniors in a school district follows a normal distribution with the following parameters:
For this case we know from the empirical rule that within one deviation from the mean we have approximately 68.2% of the data, within 2 deviations from the mean we have 95% and within 3 deviation 99.7%
We can find the limits and we got:
And in the figure attached we see the limits with the percentages associated.
