Answer:
Step-by-step explanation:
<u>Logarithms</u>
Some properties of logarithms will be useful to solve this problem:
1.
2.
3.
We are given the equation:
Applying the second property:
Substituting:
Applying the first property:
Operating:
Rearranging:
Simplifying:
Dividing by 3:
Applying the third property:
Applying inverse logs:
The new mean is 66.09
<u>Explanation:</u>
Mean weight of 20 students = 65kg
One student with 88kg entered the room.
New mean = ?
The above equation can further be written as:
New mean =
= 66.09
Therefore, the new mean is 66.09
Answer:
Teresa drive <u>90 miles</u> on Tuesday.
Step-by-step explanation:
Given:
Teresa drove on Monday, Tuesday and Wednesday.
On monday her driving distance was 120 miles.
The ratio of Wednesdays distance is 3/5.
The ratio of Wednesdays distance to Tuesday's distance is 5/4.
Now, to find the miles Teresa drive on Tuesday:
Teresa driving distance on Monday was = 120 miles.
Her driving distance on Wednesday is =
Now, her driving distance on Tuesday is:
Therefore, Teresa drive 90 miles on Tuesday.