Answer:
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 38 minutes, standard deviation of 4.5 minutes.
Determine the interval that represents the middle 68% of her commute times.
Within 1 standard deviation of the mean. So
38 - 4.5 = 33.5 minutes
38 + 4.5 = 42.5 minutes.
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Sketch the points (0,5,2),(4,0,-1),(2,4,6) and(1,-1,2) o a single set of coordinate axes?
nordsb [41]
Explanation:
As points have three coordinates i.e. x, y and z hence the sketch of the given four points is drawn in 3D shape and for that picture is attached here with this answer.
Points are given in the format as below
(value of x-coordinate , value of y-coordinate , value of z-coordinate)
In the attachment:
Point A = (0,5,2) (in blue color)
Point B = (4,0,-1) (in purple color)
Point C = (2,4,6) (in orange color)
Point D = (1,-1,2) (in black color)
Answer:
Using the equation y = abx , substitute both of your given points into that equation.
2 = ab2 and 4 = ab3 Solve each equation for a.
2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3
Cross multiply: 2b3 = 4b2 Divide both sides by b2
2b = 4 a = 2/4 = 1/2
b = 2
y = 1 (2)x
2
Step-by-step explanation:
Answer:
x•(2xy-3z)
Step-by-step explanation:
2x²y -3xz== x(2xy-3z)
