Answer:
1 : 1740
Step-by-step explanation:
The piece paper has 8 1/2" x 11", we have must find the appropriate dimensions on a scale such that the drawing of the Empire State is contained within the measures of the piece of paper. Leaving a margin of 1/2 "on both sides we have 10" high by 7 1/2" wide.
we choose the highest side of the piece of paper (11 "including margin 10") to cover the height and width (8 1/2 "including margin 7 1/2") for the base
.
1450 ft ≅ 10"(inch) then:
400 ft ≅ x "(inch); x=400ft*10"/1450ft ⇒ x=2.75", also
the scale is:
if 1450 ft ≅ 17400" ⇒ 17400" in the reality are 10" in the piece of paper, so the relation is 1 : 1740, is to say, 1" in the piece of paper is 1740" in the reality
Note: but wish to leave room, the scale can be 1 to more than 1740
Answer:
13.59% probability that my commute time tomorrow will take between 30 and 35 minutes
Step-by-step explanation:
Problems of normally distributed samples can be 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 my commute time tomorrow will take between 30 and 35 minutes?
This is the pvalue of Z when X = 35 subtracted by the pvalue of Z when X = 30. So
X = 35
has a pvalue of 0.9772
X = 30
has a pvalue of 0.8413
0.9772 - 0.8413 = 0.1359
13.59% probability that my commute time tomorrow will take between 30 and 35 minutes
$3000 per minute is how much Aerosmith earned.