3/5 of a gallon or .06
Explanation:
To solve you need to divide the three gallons of paint by the 5 cans. This can be solved in two ways.
Way 1 (fraction)
This is the easiest way, you simply put the first number in the equation on top and the second on the bottom, then simplify if possible. When we do this we get 3/5 and it can’t be simplified so we leave it as the fraction three fifths of 3/5.
Way 2 (decimal)
This way you divide 3 by 5, you can use long division to do this but it takes a long time. The answer is 0.6.
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Answer:
83.9357% increase for the buyer
Step-by-step explanation:
1)
i) Reflection about y axis i.e. x=0
ii) Horizontal shrink by scale factor 4
iii) vertical shift by 4 units up.
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2) f(x) passes through (1,-1) and (0,1)
So slope = (1+1)/(0-1) = -2
Using point slope form equation of f(x) is
y-1 = -2 (x-0) or y = -2x+1
g(x) passes through (0,-1) and (1,1)
Slope = (2/1) = 2
So using point slope form g(x) is
y-1=2x
Hence we find that y-1 = -2x is transformed into y-1 = 2x
i.e. there is a reflection of f(x) on the line y =1
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A minimum of 220 backpacks must be produced to obtain the desired benefits.
Since a company making backpacks charges $ 29.99 for each backpack, and it costs $ 6.45 to make each backpack, and the company can make backpacks in multiples of 10 and there is $ 1,000 in fixed costs, and the company wants to make at least $ 4,000 profit each week, to determine how many backpacks should be produced, the following calculation must be performed:
- 29.99 - 6.45 = 23.54
- 500 x 23.54 - 1000 = 10,770
- 250 x 23.54 - 1000 = 4.885
- 220 x 23.54 - 1000 = 4,178.80
- 210 x 23.54 - 1000 = 3,943.40
Therefore, a minimum of 220 backpacks must be produced to obtain the desired benefits.
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Answer:
a.) .0469
b.) .9961
c.) .9492
Rounded these check below for full answers
Step-by-step explanation:
a.)

b.)
Porbability of at most 3 successes is equal to 1-p(4)
p(4)=

1-.003690625=.99609375
c.)
two or more failures is equa lto
p(0)+p(1)+p(2)=
