The area of a rectangular garden is 4350 m2.
1 answer:
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Answer:
15.87% probability that no more than 80 customers walk into the coffee shop next Monday
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 no more than 80 customers walk into the coffee shop next Monday?
This is the pvalue of Z when X = 80. So
has a pvalue of 0.1587.
So there is a 15.87% probability that no more than 80 customers walk into the coffee shop next Monday
Answer:
<em>y = 255x + 6559</em>
Step-by-step explanation:
<u>Function Modeling</u>
We have the following relationship between the minutes into the ride (x) and the elevation of the tram (y):
x={2,5,9,14}
y={7069,7834,8854,10129}
We first test if the relationship is linear or not.
A linear relationship is tested by calculating the slope from any pair of points.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
Selecting the first two points (2,7069) and (5,7834)
m = 255
Selecting the first two points (5,7834) and (9,8854)
m=255
If we repeat the calculation with any pair of points, we get the same value for the slope, thus we can conclude the relationship is linear.
Using the point-slope form of the line:
y - k = m( x - h )
We select the point (2,7069)
y - 7069 = 255( x- 2 )
Operating:
y - 7069 = 255x - 510
Adding 7069:
y = 255x - 510 + 7069
y = 255x + 6559