D
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Answer:
<u>The probability that Deena will choose a pair of white socks is 4/10 or 40%</u>
Step-by-step explanation:
Let's check the information provided to us to answer the question correctly:
Total pairs or socks Deena has = 10
Pairs of white socks Deena has = 4
Pairs of black socks Deena has = 3
Pairs of red socks Deena has = 1
Pairs of navy socks Deena has = 2
If she pulls a pair of socks out of her drawer in the morning without looking, what is the probability that she will choose a pair of white socks?
Probability of Deena will choose a pair of white socks = Pairs of white socks Deena has/Total pairs or socks Deena has
Replacing with the real values, we have:
Probability of Deena will choose a pair of white socks = 4/10 or 40%
Ratio of complement of x : supplement of x
2 : 5
⇒ 2 times the supplement of x will be equal to 5 times the complement of x
5(90 - x) = 2 (180 - x)
450 - 5x = 360 - 2x
5x - 2x = 450 - 360
3x = 90
x = 30°
Complement of x = 90 - x = 90 - 30 = 60
Supplement of x = 180 - x = 180 - 30 = 150
Ratio:
60 : 150
60 ÷ 30 : 150 ÷ 30
2 : 5 (checked)
