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.
Answer:
1.07 hours
Step-by-step explanation:
14 miles = 1 hour
15 miles = x hours
Equal these two together
14 mi/1hr = 15 mi/xhr
Cross multiply
14 mi × x hr = 1 hr × 15 mi
I will stop using the units for now so it won't be as confusing
14x = 15
Divide both sides by 14 to isolate the variable
14x ÷ 14 = 15 ÷ 14
x = 1.07... hours
Answer:
Step-by-step explanation:
Figure (1)
x° = 107° [Vertically opposite angles]
Since, vertical angles are equal in measure.
Figure (2)
x + 71° = 90° [Given, complementary angles]
x = 90° - 71°
x = 19°
Figure (3)
x + 21° = 180° [Given as supplementary angles]
x = 180° - 21°
x = 159°
Figure (4)
x = 129° [Vertical angles]
Figure (5)
x° = 90° [Given]
z° + 34° = 90°
z° = 90° - 34°
z° = 56°
Since, x° + y° + z° = 180° [Linear angles]
90° + y° + 56° = 180°
y° + 146° = 180°
y° = 180° - 146°
y° = 34°
