Perpendicular lines have opposite reciprocal slopes.
x = 4 has a slope of undefined since it is a vertical line.
It's undefined because 1/0 = undefined. We can't divide by 0.
The opposite reciprical of 1/0 is -0/1, which equals to 0.
Any line with a slope of 0 is:
y = 0x + b
y = b
This line goes through the point of (2, 6).
Since the equation starts with y = something, we have to use the y-value of the point it goes through. The point is in the form of (x, y).
6 is in the y-value.
The equation of the perpendicular line is y = 6.
Answer:
A) 4140 blocks
B) 6480 square inches
Step-by-step explanation:
Given that the model building will measure 11.5 inches high and 7.5 inches wide and 6 inches long
The volume = 11.5 × 7.5 × 6 = 517.5 cubic inches
A. The blocks of 1/2 inch on each side that would be needed to make the model building will be
1/2 × 1/2 × 1/2 = 1/8 = 0.125 cubic inches
517.5/0.125 = 4140 blocks
B) Given that the number of square feet needed to cover the real building is 144 times the number of square inches needed to cover the model.
Since the model is of 7.5 inches wide and 6 inches long.
The model Area = 7.5 × 6 = 45 square inches
The fabric needed to cover the real building will be
45 × 144 = 6480 square inches
Answer:
V = pi r^2 h
Step-by-step explanation:
Volume = the constant pi times the square of radius of the base * height
Answer:
77.34% of ABM customers take more than 31 seconds to do their banking.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What percentage of ABM customers take more than 31 seconds to do their banking?
This is 1 subtracted by the pvalue of Z when X = 31.
So
has a pvalue of 0.2266.
So 1-0.2266 = 0.7734 = 77.34% of ABM customers take more than 31 seconds to do their banking.