Are equation for a rectangle is area = (width x length)
(18x - 12) = 6 x length
length = (18x - 12) / 6
length = 3x - 2
In a line with negative slope, as x increase, y decreases.
Answer:
57.93% probability that a trip will take at least 35 minutes.
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 is the probability that a trip will take at least 35 minutes
This probability is 1 subtracted by the pvalue of Z when X = 35. So



has a pvalue of 0.4207
1 - 0.4207 = 0.5793
57.93% probability that a trip will take at least 35 minutes.
First let’s call the square shape A and the rectangle shape B.
To find the area of shape A you do 24 x 24 = 576cm squared
To find the area of shape B you do 40 x 24 = 960cm squared
To find the total area you just add the two areas together
576 + 960 = 1536cm squared