Find the mean, median, and mode
2 answers:
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We are given: Degrees Celsius and degrees Fahrenheit are related by formula
To find : Solve formula for F in terms of C.
Solution: We have ,
First we need to get rid 9 from right denominator.
In order to get rid 9 from right denominator, we need to multiply equation both sides by 9.
9C = 5 (F-32).
Distributing 5 on right side over (F-32), we get 5*F - 5*32 = 5F - 160.
9C = 5F - 160.
Adding 160 on both sides,
9C+160 = 5F - 160+160.
9C+160 =5F
Dividing both sides by 5, we get
(9C+160)/5 =5F/5.
Splitting fraction 1/5, we get
.
Answer:
The expression representing the Total cost of 6 boxes is .
The Simplified expression representing the Total cost of 6 boxes is .
Step-by-step explanation:
Given:
Number of thriller movies = 3
Number of Comedy movies = 2
Let the cost of thriller movie be t
Also Let the cost of comedy movie be c
Total Number of boxes = 6
Now, given a DVD box set includes 3 thriller movies and 2 comedies.
Cost of Each box =
We need to find the total cost of 6 boxes
Total Cost of 6 boxes is =
Hence the expression representing the Total cost of 6 boxes is .
Simplifying the above expression we get;
Total Cost of 6 boxes is =
Hence the Simplified expression representing the Total cost of 6 boxes is .
Answer:
<h3>20feet</h3>Step-by-step explanation:
Initial height of the ball = 8feet
If it bounces 60% of its previous height, its new height will be;
60% of 8
= 60/100 * 8
= 480/100
= 4.8 ft
If it bounces 60% of its current distance, new height will be expressed as;
60% of 4.8
= 0.6 * 4.8
= 2.88
The height of the ball will keep reducing and form a geometric progression of the form 8, 4.8, 2.88...
In order to get the total distance traveled by the ball, we need to calculate the sum to infinity of the sequence;
S∞ = a/1-r where;
a is the first term = 8
r is the common ratio
Substitute into the formula;
S∞ = a/1-r
S∞ = 8/1-0.6
S∞ = 8/0.4
S∞ = 20feet
Hence the total distance traveled by the ball is 20feet