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9 m² n³ is the common factor.
9 m⁴ n^5 - 27 m² n³
9 m² n³(m² n² - 3)
Good luck
Answer
1) Relative frequency of prefering cold mocha amongst mocha drinkers = 0.32
2) Relative frequency of prefering a latte amongst hot coffee drinkers = 0.22
3) Type of coffee that has the highest percentage of people who prefer it cold = Regular
Explanation
1) Relative frequency of prefering cold mocha amongst mocha drinkers is given as
Relative frequency
= (Number of mocha drinkers who prefer it cold) ÷ (Total number of mocha drinkers)
Number of mocha drinkers who prefer it cold = 12
Total number of mocha drinkers = 12 + 25 = 37
Relative frequency = 12 ÷ 37 = 0.32
2) Relative frequency of prefering a latte amongst hot coffee drinkers is given as
Relative frequency
= (Number of latte drinkers who prefer it hot) ÷ (Total number of hot coffee drinkers)
Number of latte drinkers who prefer it hot = 19
Total number of hot coffee drinkers = 11 + 25 + 19 + 30 = 85
Relative frequency = (19/85) = 0.22
3) Percentage of people who prefer cold coffee for each coffee type
Regular
(17/28) = 60.7%
Mocha
(12/37) = 32.4%
Latte
(20/39) = 51.3%
Cappuccino
(27/57) = 47.4%
Regular coffee drinkers have the highest percentage of drinkers who prefer it cold.
Hope this Helps!!!
Answer:
75 in
Step-by-step explanation:
add (10+15)=25
divide 25/2
multiply 12.5*6
equals 75
For x²+bx+c, to complete the square, you add (half of b)²
b=8 in this case, so you add 4², which is 16
x²+8x+16-16-4
y=(x+4)²-20 is the final form.
