Answer:
Step-by-step explanation:
Given that according to the U.S. Census Bureau, the prob ability that a randomly selected household speaks only English at home is 0.81.
The probability that a randomly selected household speaks only Spanish at home is 0.12.
(a) the probability that a randomly selected household speaks only English or only Spanish at home
= 0.81+0.12 = 0.93
(since these two are disjoint sets)
(b) the probability that a randomly selected household speaks a language other than only English or only Spanish at home
= 1-0.93= 0.07 (remaining)
(c) the probability that a randomly selected household speaks a language other than only English at home
=1-0.81=0.19
(d) Can the probability that a randomly selected household speaks only Polish at home equal 0.08? Why or why not?
Polish alone can never exceed 1-(0.81+0.12) i.e. 0.70
At most it can take values as 0.7 only
So no is the answer.
<h3>
Answer: 15 hours (choice D)</h3>
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Work Shown:
(6 hours)/(8 trees) = (x hours)/(20 trees)
6/8 = x/20
6*20 = 8*x ... cross multiply
120 = 8x
8x = 120
x = 120/8
x = 15
It takes him 15 hours to plant 20 trees.
Answer:
The merchant buys 30 shirts originally.
Step-by-step explanation:
Let us assume that the merchant bought x numbers of shirts in $120.
So, the cost for each shirt is $.
Now, if the cost for each shirt is reduced by 1$, then he would have bought 10 shirts more i.e. (x + 10) shirts in $120.
So, we can write the following equation as
⇒(120 - x)(x + 10) = 120x
⇒ 120x - 10x + 1200 - x² = 120x
⇒ x² +10x - 1200 = 0
⇒ x² + 40x - 30x - 1200 = 0
⇒(x + 40)(x - 30) = 0
⇒ x = - 40 or x = 30
But x can not be negative.
Hence, the merchant buys 30 shirts originally. (Answer)