Answer:
y-intercept: (0, -0.7)
x-intercept: (-1.2, 0)
Step-by-step explanation:
- To find the x-intercept (x, 0) of a line substitute y by zero in the equation of the line, and from the graph, it is the point of intersection between the line and the x-axis
- To find the y-intercept (0, y) of a line substitute x by zero in the equation of the line, and from the graph, it is the point of intersection between the line and the y-axis
In the given figure
∵ The line intersects the y-axis at the point (0, -0.7)
∴ The point of intersection between the line and the y-axis is (0, -0.7)
→ By using the 2nd note above
∴ The y-intercept is (0, -0.7)
∵ The line intersects the x-axis at the point (-1.2, 0)
∴ The point of intersection between the line and the x-axis is (-1.2, 0)
→ By using the 1st note above
∴ The x-intercept is (-1.2, 0)
Answer:
1.967 × 10⁻¹¹
Step-by-step explanation:
This is a conditional probability problem
Probability that a 12 year old leaf blower works for 5 more years = Probabilty that a leaf blower works for 17 years, given that it has worked for 12 years = P(17|12)
P(17|12) = P(17 n 12)/P(12)
P(17 n 12) = P(17)
Exponential random variable is given as
f(x) = λ e^(-λ.x)
λ = rate parameter = 5 years per blower
x = variable whose probability is required = 17
f(17) = 17 e^(-5×17)
f(17) = 17 e⁻⁸⁵ = 2.067 × 10⁻³⁶
f(12) = 12 e^(-5×12)
f(12) = 12 e⁻⁶⁰ = 1.051 × 10⁻²⁵
P(17|12) = (2.067 × 10⁻³⁶)/(1.051 × 10⁻²⁵)
P(17|12) = 1.967 × 10⁻¹¹
Answer:
A. $258.00
Step-by-step explanation:
There are 12 months in a year so you will simply have to multiply $21.50 by 12
21.50 x 12
258
