First let's find the slope of line joining (2, 5) and (4, 4)
Assuming points (x₁, y₁) and (x₂, y₂)
Slope = (y₂ - y₁) / (x₂ - x₁)
Slope = (4 - 5) / (4 -2) = -1/2 = -0.5
From equation of line: y = mx + c
y = -0.5x + c
Using the point (2 , 5) as passing through y = -0.5x + c
x = 2, y = 5
5 = -0.5*2 + c
5 = -1 + c
5 + 1 = c
6 = c
c = 6
Therefore the y-intercept which is c = 6
y-intercept = 6
Hope this explains it.
Given <span>20 yards for $30.00, unit rate = $30 / 20 yards = $1.5 per yard
Given 40 yards for $45.00, unit rate = $45 / 40 yards = $1.13 per yard
Given 50 yards for $70.00, unit rate = $70 / 50 yards = $1.4 per yard
Given 65 yards for $85.00, unit rate = $85 / 65 yards = $1.31 per yard
The best deal is the cheapest rate which is 40 yard for $45.00
</span>
Answer:
Step-by-step explanation:
Cone. The volume of a cone is linked to the volume of a cylinder. A cone is one third of the volume of a cylinder. ...
Sphere. The volume of a sphere is ⁴/₃ × π × r³. ...
Cylinder. The volume of a cylinder is π × r² × l (r is the radius of the circle and l is the length of the cylinder).
Answer:
a) 10.6; 48.7; within
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 29.6
Standard deviation = 6.35
"According to the Empirical Rule, the ages of nearly all lead actresses will be between______________and_____________ years.
Nearly all(99.7%) will be within 3 standard deviations from the mean.
So from 29.6 - 3*6.35 = 10.6 years to 29.6 + 3*6.35 = 48.7 years.
Anna was 11-years old, so she was within this range.
So the correct answer is
a) 10.6; 48.7; within
