Total number of people is 55
<u>Step-by-step explanation:</u>
Step 1:
Given ratio between boys and girls is 4:1. Let number of girls be x, so number of boys = 33 + x
⇒ 4x + x = x + 33 + x
⇒ 5x = 33 + 2x
⇒ 3x = 33
⇒ x = 11
Step 2:
Find total number of people.
33 + 2x = 33 + 22 = 55
The mode for this data set is 7
Answer:
b. 56
Step-by-step explanation:
Please consider the complete question.
There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible?
We will use combinations for solve our given problem.
, where,
n = Number of total items,
r = Items being chosen at a time.
For our given scenario and .
Therefore, 56 different subcommittees are possible and option 'b' is the correct choice.
Answer:
The number of children was 170 and adults was 368.
Step-by-step explanation:
To clarify we'll call children by 'c' and adults by 'a'. The amount of people in the pool should be the sum of adults and children, so:
a + c = 538
The receipts for the adimission should total the amount of tickets from children and adults multiplied by the price of each ticket, so:
1.75*c + 2.25*a = 1125.5
We now have two equations and two variables. Using the first equation we can isolate the 'a' variable and use it on the second equation to find an answer. We then have:
a + c = 538
a = 538 - c
Using it on the second equation:
1.75*c + 2.25*(538-c) = 1125.5
1.75*c + 1210.5 - 2.25*c = 1125.5
1.75*c - 2.25*c = 1125.5 - 1210.5
-0.5*c = -85
c = -85/(-0.5) = 170
Using this value on the first equation:
a = 538 - 170 = 368