Answer:
0.9973 is the percentage of American men whose height is between 61 and 79 inches.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 70 inches
Standard Deviation, σ = 3 inches
We are given that the distribution of heights of American men is a bell shaped distribution that is a normal distribution.
Formula:
P(height is between 61 and 79 inches)
0.9973 is the percentage of American men whose height is between 61 and 79 inches.
y = 3 x equation represents a proportional relationship.
Answer: Option B
<u>Step-by-step explanation:</u>
A proportional variation represents a relationship between two variables x and y. It can be expressed in the form y=k x. Here, the ‘k’, the proportionality constant is equal to the slope m and the line goes through the origin
case A)
A linear equation that not passes through the origin and so not proportional variation
case B) y= 3 x
Is a linear equation but passes through the origin and so proportional variation
case C) y = - 3x+2
A linear equation that not passes through the origin and so not proportional variation
case D)
An inverse variation equation but not passes through the origin and so not proportional variation.
From these, equation option B is the proportion equation because in these equations, there is no addition and subtraction of any constant number. That’s why both these equations become proportional equations.
Answer:
y = x
Step-by-step explanation:
given y varies directly as x, the the equation relating them is
y = kx ← k is the constant of variation
to find k use the given condition y = 10 when x = 6, hence
k = =
=
y = x ← is the equation
