Answer:
$595
e) If the company insures a large number of these cars, they can expect the average cost per car to be approximately E(C).
Step-by-step explanation:
Given the distribution :
C $0 $500 $1000 $2,000
P(C) 0.60 0.05 0.13 0.22
Expected probability : E(C)
Σ[C * P(C)] = (0*0.60) + (500*0.05) + (1000*0.13) + (2000*0.22) = $595
Since the expected value could be interpreted as the average value of a random variable over a large Number of experiment or trials
Answer:
21
Step-by-step explanation:
Let x = $1 bill
Let y = $5bill
<em>Translating the word problem into an algebraic equation;</em>
<em>For the total number of bills;</em>
.........equation 1
<em>For the total number of tips;</em>
..........equation 2
<em>*Solving the linear equation by using the substitution method*</em>
<em>Making x the subject in equation 1:</em>
.......equation 3
<em>Substituting "x" into equation 2;</em>
<em>Simplifying the equation, we have;</em>
y = 21 (For the $5 bills).
<em>Therefore, Anthony received 21 pieces of the $5 bills.</em>
To find x;
Substituting "y" into equation 3;
x = 26 (For the $1 bill).
The opposite operation to taking a derivative is an integral. Integrate to find original function.
f(x) = x^2 + x + C
C is constant because we didn't have bounds on the integral. it lets you choose the input value let's say is just (1,0)
0 = 1 + 1 + C
- 2 = C
function at input value (1,0)
f(x) = x^2 + x - 2
now if you check by taking derivative is :
f' = 2x + 1
Hello!
The circumference is the diameter multiplied by pi, or the distance around a circle. Since we already have the circumference, and need to find the diameter, we will divide the circumference by pi(3.14).
113.04/3.14=36
The diameter of the circle is 36 units.
I hope this helps!
Answer:
yes
Step-by-step explanation:
To determine if (- 8, - 7 ) is a solution to the equation
Substitute the values of x and y into the equation and if both sides are equal then it is a solution.
left side : 3(- 8) + 10 = - 24 + 10 = - 14
right side : 2y = 2(- 7) = - 14
Since both sides are - 14 then (- 8, - 7 ) is a solution to the equation.
