The total number of bills and coins is 14.
Step-by-step explanation:
To minimize the count of bills and coins, start with the largest denominations that fit within the amount.
The change due is $39.49.
Start with:
-$20 bill (largest under $39.49)
Remaining: $19.49
-$10 bill (largest under $19.49)
Remaining: $9.49
-$5 bill (largest under $9.49)
Remaining: $4.49
Then:
4 × $1 bills (to cover $4.49)
Remaining: $0.49
-$0.25 coin (quarter)
Remaining: $0.24
2 × $0.10 coins (dimes)
Remaining: $0.04
4 × $0.01 coins (pennies)
The final composition includes:
1 twenty-dollar bill
1 ten-dollar bill
1 five-dollar bill
4 one-dollar bills
1 quarter
2 dimes
4 pennies
Totaling 14 pieces.
Answer:
a) The outlier is the point located at the bottom right of the graph
b) The plotted points resemble a line that has a positive gradient
c) By conducting correlation analysis, we can determine the strength of the correlation
Step-by-step explanation:
a) The problem presents a scenario where Igor, who has recently moved, is experienced but needs to retrain medically to practice in the UK
Thus, he corresponds to the outlier situated nearest to the graph's bottom right
b) According to the scatter graph, there's a direct relationship showing that as a doctor's age increases, their annual salary tends to climb as well
Referencing the graph:
Age Salary
22 £28000
26 £30000
34 £44000
38 £42000
42 £30000
42 £46000
50 £55000
The data points follow a line demonstrating the proportional increase of salary with age.
c) To reinforce this conclusion's reliability, correlation analysis should be conducted to ascertain the relationship between age and annual incomes.
The expression for y in relation to x is y = 16x/65.
⇒ 
Detailed breakdown:
In math, an inverse function acts as a "reverse" to another function: if f applied to x yields y, then g applied to y gives back x, meaning f(x) = y if and only if g = x.
In this case, we define h(x) as the inverse of f(x). We need to discover the value of h(f(x)). Let's explore this:
Let the inverse of 
= 
, but as per the question, it corresponds to h(x) or 
. Now,
⇒
By substituting f(x) into x at h(x), i.e.
⇒ 
The multiplication of 
and 
equals 1,
⇒
Thus, ⇒ .
