Answer:
a) 4 products
b) 10 products
Step-by-step explanation:
When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 28 seconds to complete the check-out process.
For 1 product, the total time =
5 seconds + 28 seconds = 33 second.
We can derive an equation
Total time of transaction = 5x + 28
Where x is the number of products you are selecting
a) If it takes 48 seconds to complete a transaction, how many products are being purchased?
Total time = 5x + 28
48s = 5x + 28
5x = 48 - 28
5x = 20
x = 20/5
x = 4 items
b) If it takes 80 seconds to complete a transaction, how many products are being purchased?
Total time = 5x + 28
80s = 5x + 28
5x = 80 - 28
5x = 52
x = 52/5
x = 10 items
In whole number = 10 items
Answer:
a.
lower Quartile= 57.5
Upper Quartile=81
b.
23.5
c.
box-plot is attached in excel file
Step-by-step explanation:
The data is arranged in ascending order so, the lower quartile denoted as Q1 can be calculated as under
Q1=((n+1)/4)th score=(41/4)th score=(10.25)th score
Q1=10th score+0.25(11th-10th)score
Q1=57+0.25(59-57)=57+0.5=57.5
Q1=57.5
The data is arranged in ascending order so, the third quartile denoted as Q3 can be calculated as under
Q3=(3(n+1)/4)th score=(3*41/4)th score=(30.75)th score
Q3=30th score+0.75(31th-30th)score
Q3=81+0.75(81-81)=81+0=81
Q3=81
b)
Interquartile range=IQR=Q3-Q1=81-57.5=23.5
IQR=23.5
c)
The box-plot is made in excel and it shows no outlier. The box-plot shows the 5-number summary(minimum-Q1-median-Q3-maximum) as 25-57.5-72-81-98.
The 2 angles are vertical angles, which mean they are equal.
Set the two equations to equal and solve for x:
4x + 7 = 5(x-4)
Use distributive property on the right side:
4x + 7 = 5x -20
Add 20 to each side:
4x +27 = 5x
Subtract 4x from each side:
27 = x
X = 27
To write something in percent form, find out what the numerator becomes when the denominator is equal to 100. Add a percent sign to the numerator and you get the fraction in percent form.
In
we can multiply the fraction by 5 to make the denominator 100. The numerator will be 35. So the answer is
35%.
2001 gallons used in 5 days, so the average for one day is 2001/5=400.2 gallons.