Answer:
Below.
Step-by-step explanation:
a) A = {1, 2, 5, 10}
b) B = {1, 3, 5, 15}
c) A∩B = {1, 5} ( elements common to A and B).
d) A∪B = {1, 2, 3, 5, 10, 15} (total elements in A and B).
You can use variables to solve this problem. Lets say that m is men, w is women, and c is children. m+w+c=266
four times as many men as children in ‘math words’ would be 4c=m
twice as many women as children would be 2c=w
what we can do now is plug those in to make everything easier with one variable
4c+2c+c=266
7c=266
c=38 now we have how many children, and we need to plug it back into what we have for women and men.
4c=m 4(38)=m m=152
2c=w 2(38)=w w=76
152 men, 76 women, and 38 children
Answer:Initiation fee is $400 while monthly fee is $10
Step-by-step explanation:
Let the initial fee be x which is fixed while the monthly fee be y
At the end of 5 months, 450 was paid
This means that;
x + 5y = 450 ••••••••(i)
At the end of 10 months, $500 was paid
Mathematically, this means that;
x + 10y = 500•••••••••••(ii)
now we solve both equations simultaneously to get the value of x and y
our equation ii can be rewritten as;
x + 5y + 5y = 500
we can now insert equation i directly into this
450 + 5y = 500
5y = 500-450
5y = 50
y = 50/5
y = $10
From x + 5y = 450
let’s insert the calculated value of y
x + 5(10) = 450
x + 50 = 450
x = 450-50
x = $400
Answer:
- 0.40666
Step-by-step explanation:
Given that:
Mean, m = 21.1
Standard deviation, s = 5.0
Score, x = 15
Zscore formula :
Zscore = (x - m) / s
Zscore = (15 - 21.1) / 15
Zscore = - 6.1 / 15
Zscore = - 0.40666
