What is x if f(x)=2^x is graphed
1 answer:
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Answer:
The maximum number of songs that the symphonic choir can record is 14
Step-by-step explanation:
Let
x ----> the number of songs of the symphonic choir
we know that
The number of songs of the jazz choir multiplied by its average time per song plus the the number of songs of the symphonic choir multiplied by its average time per song, must be less than or equal to 72 minutes
so
The inequality that represent this situation is
solve for x
subtract 21 both sides
divide by 3.6 both sides
therefore
The maximum number of songs that the symphonic choir can record is 14
Answer:
In 68229 ways can the quiz be selected such that there is atleast three multiple choice questions
Step-by-step explanation:
Given:
Number of True or false questions= 10
Number of multiple choice questions= 20
To Find:
How many ways can 5 questions can be selected if there must be at least three multiple choice questions =?
Solution:
Combination
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.
The question States there sholud be ATLEAST 3 multiple choice question,
So, we may have
(3 Multiple choice question and 2 true or false question) or
(4 Multiple choice question and 1 true or false question) or
(5 Multiple choice question and 0 true or false question)
Required Number of ways = (20C3 X10C2) +(20C4 X10C1) + (20C5 X10C0)
Required Number of ways
Required Number of ways = ( 1140 x 42) + (4845 x 10) +(15504 x 1)
Required Number of ways = 47880+48450+15504
Required Number of ways = 68229