In Exercise 103 from Section 11.3 , we learned that if a fair coin is flipped n times, the number of head/tail arrangements follows a geometric sequence. a. Determine the number of head/tail arrangements if a fair coin is flipped 3 times, 4 times, and 5 times. b. If a couple has 3 children, how many boy/girl sequences are possible for the three births? List the outcomes using “ B � for boy and “ G � for girl. c. If a couple has 4 children, how many boy/girl sequences are possible for the four births?
In Exercise 103 from Section 11.3 , we learned that if a fair coin is flipped n times, the number of head/tail arrangements follows a geometric sequence. a. Determine the number of head/tail arrangements if a fair coin is flipped 3 times, 4 times, and 5 times. b. If a couple has 3 children, how many boy/girl sequences are possible for the three births? List the outcomes using “ B � for boy and “ G � for girl. c. If a couple has 4 children, how many boy/girl sequences are possible for the four births?
Solution Summary: The author calculates the number of head/tail arrangements, if a fair coin is flipped 3, 4 and 5 times.
In Exercise
103
from Section
11.3
, we learned that if a fair coin is flipped
n
times, the number of head/tail arrangements follows a geometric sequence.
a. Determine the number of head/tail arrangements if a fair coin is flipped
3
times,
4
times, and 5 times.
b. If a couple has
3
children, how many boy/girl sequences are possible for the three births? List the outcomes using “
B
� for boy and “
G
� for girl.
c. If a couple has
4
children, how many boy/girl sequences are possible for the four births?
the correct answer is Ccould you please show me how to do it using the residue theorem
Use the information to find and compare Δy and dy. (Round your answers to four decimal places.)
y = x4 + 7 x = −3 Δx = dx = 0.01
Δy =
dy =
4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown
in the table. For each problem, approximate the distance the car traveled (in miles) using the given method,
on the provided interval, and with the given number of rectangles or trapezoids, n.
Time (min) 0 6 12 18|24|30|36|42|48|54|60
Speed (mph) 0 10 20 40 60 50 40 30 40 40 65
a.) Left Rectangles, [0, 30] n=5
b.) Right Rectangles, [24, 42] n=3
c.) Midpoint Rectangles, [24, 60] n=3
d.) Trapezoids, [0, 24] n=4
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