A bag contains 3 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact pro
2 answers:
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9514 1404 393
Answer:
(b) 15.32
Step-by-step explanation:
You can use your triangle sense to answer this.
The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.
If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.
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The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(50°) = x/20
x = 20×sin(50°) . . . . multiply by 20 to find x
x ≈ 15.32 . . . . . . . . . use your calculator to evaluate
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The attachment is intended to show how the triangle side lengths change with angle.
Answer:
Group A has greater variability
Step-by-step explanation:
Group A: 80, 100, 190, 110, 70, 90, 130
The variability of group A data :
Taking the range :
Maximum = 190 ; Minimum = 70
Range = Maximum - Minimum ; 190 - 70 = 120
Group B : 50, 110, 100, 120, 107, 140, 150
The variability of group B data :
Taking the range :
Maximum = 150 ; Minimum = 50
Range = Maximum - Minimum ; 150 - 50 = 100
Hence, Group A has greater variability
