Answer:
40 degrees is (40/360)=0.111=11.1%
The color closest to 11.1% is Purple at 12%.
The total who prefer a rainbow color is:
13+4+5+15+16+12=65
Of this 65, 13 prefer red, so 13/65=0.20,
of the people who preferred a rainbow color,
20% preferred red.
Step-by-step explanation:
City C (42 and 66 are the two modes they are the most frequent numbers both appearing 3 times)
There are 2 answers: Choice 1, Choice 4
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Why is this? Because we use the rule
P(A & B) = P(A) * P(B)
which only works if events A and B are independent
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For the first answer choice,
P(A) * P(B) = 0.6*0.4 = 0.24 = P(A & B)
so that matches.
The same applies to the fourth answer choice as well
P(A) * P(B) = 0.3*0.2= 0.06 = P(A & B)
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The other answer choices don't match up.
The second answer choice has
P(A) * P(B) = 0.3*0.4 = 0.12 but that doesn't match with the 0.70 given
Similarly for the third answer choice,
P(A) * P(B) = 0.5*0.1 = 0.05 which doesn't match with the 0.60
Well well we find the area of the triangle first:
area = 1/2 * base * height
area = 1/2 * 8 1/4 * 5 3/4
area = 1/2 * 33/4 * 23/4
area = 1/2 * 759/16
area = 759 / 32
area = 23 23/32
now if we multiply the length of the triangles we get volume because the volume of the prism is really just the sum of the areas of all the triangles that make up it's length. So:
volume = 23 23/32 * 12
volume = 276 276/32
276/ 32 = 8 5/8
volume = 284 5/8
