Answer:
20 cm² & 80 cm²
Step-by-step explanation:
Ratio of areas = (ratio of sides)²
Ratio of sides: 2/4 = ½
Ratio of areas: (½)² = ¼
Areas are:
⅕(100) = 20
⅘(100) = 80
(1/2)/3=1/6
Each sandwich will have 1/6 of a pound of cheese.
Answer:
Project A: $55,000 Project B: $50,800 Contractor should choose project A
Step-by-step explanation:
The expected value of the project is the sum of products of profit and its probability:
In thousands, ...
A: (50×0.6) +(80×0.3) +(10×0.1) = 30 +24 +1 = 55 . . . thousand
B: (100×0.1) +(64×0.7) +(-20×0.2) = 10 +44.8 -4 = 50.8 . . . thousand
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The contractor should choose Project A based on the expected value of profit.
Y = 5x + 3.....the slope here is 5. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, we flip the original slope and change the sign. So we have slope 5 or 5/1.....flip it and it becomes 1/5....change the sign and it becomes - 1/5. So our perpendicular line will have a slope of -1/5.
y = mx + b
slope(m) = -1/5
(2,2)....x = 2 and y = 2
now we sub into the formula and find b, the y int
2 = -1/5(2) + b
2 = -2/5 + b
2 + 2/5 = b
10/5 + 2/5 = b
12/5 = b
so ur perpendicular equation is : y = -1/5x + 12/5 <==
The values that exist two standard deviations above and below the mean are 681 and 265.
<h3>How to determine the values?</h3>
The given parameters exist:
Mean = 473
Standard deviation =104
The values above and below the mean exist calculated utilizing:
In this case n = 2.
So, we have, 
The value above is:
x = 473 + 2 
104 = 681
The value below is:
x = 473 - 2 104 = 265
Therefore, the values that exist two standard deviations above and below the mean are 681 and 265.
To learn more about standard deviation refer to:
brainly.com/question/937592
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