Answer:
Option a. (-5, 2)
Step-by-step explanation:
The focus of a parabola is a <em>point</em>. Regarding this point, each point of the parabola has the same distance to a line that is known as "directrix".
By definition, for a parabola of the form:
The focus of the parable is given by the point: (h, k +p)
We must identify the values of h, k and p for the given equation.
Now that we know the values of h, k and p we can find the focus
The focus is
(-5, 1+1)
(-5, 2).
Answer:
18.8495559215
Step-by-step explanation:
circumference = diameter * pi
6 * π = 18.8495559215
Answer:
The height is 7 inches
Step-by-step explanation:
Given
Required
Determine the height [missing from the question]
The volume of a hexagonal prism is:
Make Height the subject
Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
Answer:
16% of the individuals from this population will have LDL levels are 1 or more standard deviations above the mean.
Step-by-step explanation:
The 68-95-99.7 rule states that:
68% of the measures of a normally distributed sample are within 1 standard deviation of the mean. 34% of them above, 34% of them below.
What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean?
Of the 50% of the measures that are above the mean, 34% are within 1 standard deviation. So 50-34 = 16% are 1 or more standard deviations above the mean.
