Let's start by declaring our varibles.
x = number of lawns Mr. Brust mowed
y = total amount of money Mr. Brust made
Let's create our equation.
y = 15x + 55
For part b, we can plug 800 in for y.
800 = 15x + 55
Subtract 55 from both sides.
745 = 15x
Divide both sides by 15
50 = x. Note, I rounded the answer to the nearest integer.
For part c, we can plug 13 in for x.
y = 15(13) + 55
Simplify the right side of the equation.
y = 250
Answer:
Step-by-step explanation:
Because the random variable x follows a continuous uniform distribution from x=1 to x=5, therefore
p(x) = 1/4, x=[1, 5]
The value of p(x) ensures that the total area under the curve = 1.
The conditional probability p(x > 2.5 | x ≤ 4) is the shaded portion of the curve. Its value is
p(x > 2.5 | x ≤4) = (1/4)*(4 - 2.5) = 0.375
Answer: 0.375
Answer:
Mixed number: 
Improper fraction: 
Step-by-step explanation:
A mixed number is a number that contains an integer part and a fraction part.
An improper fraction is a fraction where the numerator is greater than the denominator.
can be written as
in its fraction form. This would be an improper fraction since the numerator is greater than the denominator.
The mixed number is
since
goes into
three full times and the remainder is
.
∴The mixed number is
and the improper fraction is
.
Answer:
(-3,-5)
Step-by-step explanation:
Quadrant III is on the bottom left corner.