Answer:
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
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 38 minutes, standard deviation of 4.5 minutes.
Determine the interval that represents the middle 68% of her commute times.
Within 1 standard deviation of the mean. So
38 - 4.5 = 33.5 minutes
38 + 4.5 = 42.5 minutes.
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Answer:
x=-10
Step-by-step explanation:
6x+4=5x-6
Subtract 5x from each side
6x-5x+4=5x-5x-6
x +4 = -6
subtract 4 from each side
x+4-4 = -6-4
x=-10
<span>An equation that would be perpendicular is opposite the reciprocal. </span>
First, change the two mixed numbers in the expression into an improper fraction: 25/6 + 5/3.
Then, find the Lowest Common Denominator of both fractions, which is 6, and set both denominators equal to that. Remember, whatever you do on one side you must do to the other: 25/6 + 10/6
Add the two together: 25/6 +10/6 = 35/6.
To make it a mixed number again, find how many times 6 goes into 35, which is 5 times, with a remainder of 5. Your answer is 5 5/6
The mean is 10,724.28.
Explanation:
The mean is all of the values divided by the number of values there are.
So what you have to do is add all of the numbers and divide it by the amount of numbers there are.
10,150+10,211+10,424+10,769+10,884+11,155+11,477= 75,070.
Since there are 7 numbers, divide 75,070/7 and you get your mean, which is 10,724.28 rounded.
