<h3>
Answer:</h3>
40
<h3>
Step-by-step explanation:</h3>
The average of a data set is the number "in the middle" of all of the numbers. This is a measurement of the center of a data set. Another word for average is mean.
How to Calculate the Average
The average or mean is calculated by adding all of the values together. Then, divide this sum by the number of data points. For example, if the sum of 5 different data points is 10, then the average would be 10/5.
Finding the Average
Now, let's find the average of this specific data set. First, add all of the data together.
- 30+35+40+41+42+45+47 = 280
Then, count the number of terms. There are 7 different terms within this data set. So, next divide the sum by the number of terms.
This means that the average of the set is 40.
Other Measurements of Center
The mean is not the only measurement of center. There are 3 common measures of center.
- The mean is found by adding all the terms and then dividing by the number of terms.
- Another measurement is the median is found by ordering the terms from least to greatest, and then taking whatever number is left in the middle. The median of this set is 41.
- Finally, the mode is the term that appears the most often. Many times there can be more than one mode. This set has no real mode because all of the terms only appear once.
Answer:
79
Step-by-step explanation:
The difference between 79 and 22 is 57. 79 is THE number. All you have to do is add 22 and 57 because the answer you get would ALWAYS have one of the numbers added as the difference.
Use the change-of-basis identity,

to write

Use the product-to-sum identity,

to write

Redistribute the factors on the left side as

and simplify to

Now expand the right side:

Simplify and rewrite using the logarithm properties mentioned earlier.





(C)
Hello!
There are only six was to to role a number less than four. 1 and 1. 1 and 2. 2 and 1. 1 and 3. 2 and 2. 3 and 3 and 1.
The first number on the die could be 1, and the second die could have a probability of rolling the second number on it. Giving us a probability of 1/6.
We can subtract the calculated probability from rolling less than four from 1 to find the probability of rolling more than 5:
1 - 1/6 = 5/6
So, your answer should be D 5/6.