Answer:
3
Step-by-step explanation:
The probability that the person pulls 1 blue M&M given that one is only allowed to pull 5 random M&M's per day will be 0.6450.
<h3>How to calculate probability?</h3>
From the information given, there are 1,023 M&M's in a bag and out of 1,023 M&M's, 132 M&M's are blue.
Therefore, the probability of getting a blue M&M will be:
= 132/1023
= 0.1290
Therefore, since the person is given the chance to pull 5 random M&M's per day, the probability will be:
= 0.1290 × 5
= 0.6450
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Answer: Each woman sold her apples at the rate of seven apples for I¢, and 3¢ each for the odd ones which were left over. this made it possible for each to receive the same amount, which is 20¢.
Step-by-step explanation:
given data:
20,
40,
60,
80,
100,
120,
140.
solution.
first woman 20 apples
= 2 + 3 * 6¢.
= 20¢.
second woman 40 apples
= 5 + 5 * 3¢.
= 20¢.
third woman 60 apples
= 8 + 4 * 3¢.
= 20¢.
fourth woman 80 apples
= 11 + 3 * 3¢.
= 20¢.
fifth woman 100 apples
= 14 + 2 * 3¢.
= 20¢.
sixth woman 120 apples
= 17 + 1 * 3¢.
= 20¢.
seventh woman 140 apples
= 20 * 1¢.
= 20¢.
You have to build the triangles.
They are such that:
h is the common height
x is the horizontal distance from the plane to one stone
Beta is the angle between x and the hypotenuse
Then in this triangle: tan(beta) = h / x ......(1)
1 - x is the horizontal distance from the plane to the other stone
alfa is the angle between 1 - x and h
Then, in this triangle: tan (alfa) = h / [1 -x ] ...... (2)
from (1) , x = h / tan(beta)
Substitute this value in (2)
tan(alfa) = h / { [ 1 - h / tan(beta)] } =>
{ [ 1 - h / tan(beta) ] } tan(alfa) = h
[tan(beta) - h] tan(alfa) = h*tan(beta)
tan(beta)tan(alfa) - htan(alfa) = htan(beta)
h [tan(alfa) + tan(beta) ] = tan(beta) tan (alfa)
h = tan(beta)*tan(alfa) / (t an(alfa) + tan(beta) )
Answer:
more info please!!!
Step-by-step explanation:
