Answer:
The selections are dependent.
Yes, they can be treated as independent (less than 5% of the population).
Step-by-step explanation:
Since the selections are made without replacement, each selection affects the outcome of the next selection and, therefore, the selections are dependent.
Although they are dependent, the selections can be treated as independent if the sample size is no more than 5% of the total population. In this case, the sample size is 1235 adults out of a population of 15,958,866 adults. The percentage represented by the sample is:
Thus the selections can be treated as independent for the purposes of calculations.
Answer:
16 in
Step-by-step explanation:
The 3 part of the ratio represents 24 inches.
Dividing by 3 gives the value of one part of the ratio.
24 in ÷ 3 = 8 in ← value of 1 part of the ratio, thus
2 parts = 2 × 8 in = 16 in ← hypotenuse of smaller triangle
Answer:
The measurement of arc AD is 53°
The measurement of arc BC is 39°
Step-by-step explanation:
Let
x----> the measurement of arc AD
y---> the measurement of arc BC
we know that
The measure of the internal angle is the semi-sum of the arcs comprising it and its opposite
so
m∠DEA=(1/2)[x+y]
substitute the value
46°=(1/2)[x+y]
92°=[x+y] -----> equation A
The measurement of the external angle is the semi-difference of the arcs which comprises
m∠P=(1/2)[x-y]
substitute the value
14°=(1/2)[x-y]
28°=[x-y] -----> equation B
Adds equation A and equation B
92°+14°=2x
x=106°/2=53°
Find the value of y
substitute in the equation A the value of x
92°=[53°+y]
y=92°-53°=39°
There are two different lines
(93 mile/hour) x (5,280 feet/mile) x (1 hour / 3,600sec) = <em>136.4 feet/sec</em> .
