<u>Answer:</u>
Nickels = 44.6
Dimes = 3.4
<u>Step-by-step explanation:</u>
We know that Jessica has 48 coins of which some are nickels and some are dimes so we can write it as:
n = amount of nickels
d = amount of dimes
--- (1)
We are to find the number of nickels and dimes if their total worth is $3.25.
Since a dime is worth 10¢ and a nickel is 5¢, so it should be:
--- (2)
From (1):

Substituting this value of
in (2) to get:





Finding
by substituting the value of
:



<h3>
Answer: A) linear function</h3>
Each time x goes up by 2, y decreases by 4
This indicates we have a linear function. The slope in this case would be
m = rise/run = (change in y)/(change in x) = -4/2 = -2
The y intercept can be found by following these steps
y = mx+b
0 = -2(5)+b
0 = -10+b
10 = b
b = 10
Therefore, the equation of this line is y = -2x+10. Plug in something like x = 1 and it should lead to y = 8. The same applies for any other column of x,y values.
Find out the value of z
Remember that
z =(x - μ)/σ
we have
μ=18
σ=5
For x=5
substitute
z=(5-18)/5
z=-2.6
Using a z-scores table
we have that
P(x ≥ 5)=0.99534
therefore
<h2>the answer is option A</h2>