X = the time it takes Joe to mow the lawn alone
2x = the time it takes Moe to mow the lawn alone
x + 2x = 33
3x = 33
x = 11
Answer: 11 Minutes
you can use the formula for sample means:
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where m stands for a value of the sample mean.
We are looking for the value, specifically for its two borderline values: 70 and 80
and their cumulative probabilities, p(z(80)) and p(z(70)). The difference p(z(80))-p(z(70))
will give the probability that m falls in the interval [70,80]
So let's get cracking at it:
These are very large values of z. You may notice that any z-table online won't even bother covering range that high - the probabilities for these values are virtually 0 (in the neg case) 1 (in the pos case).
This means that numerically the probability of the sample mean of 64 samples falling within the range of 1 standard deviation is very close to 1
So the answer choice should be 1.0
Answer:
10.99
Step-by-step explanation:
where you see tan20 the 20 has a degree sign on top
Answer:
5
Step-by-step explanation:
The interquartile range is the difference between the upper quartile and the lower quartile.
First find the median.
The median is the middle value of the data set arranged in ascending order
1 5 5 7 9 ← data in ascending order
↑ median
The lower quartile is the middle value of the data to the left of the median. If there is not an exact middle then it the average of the values on either side of the middle.
1 5
↑ lower quartile = = 3
The upper quartile is the middle value of the data to the right of the median.
7 9
↑ upper quartile = = 8
Thus
interquartile range = 8 - 3 = 5