Step-by-step explanation:
CI = p ± z √(pq/n)
For 90% confidence, z = 1.645.
CI = 0.55 ± 1.645√(0.55 × 0.45 / 64)
The question is asking how much time Susan spent moving toward her office. On the graph, the y-axis represents the distance Susan is from her office, so the amount of time she is moving toward her office is the amount of time the graph is going down.
As you can see, the graph is going down from the 10 to 16 minute marks and the 22 to 26 minute marks. In total, this is 20 minutes in which the graph is going down.
Therefore, Susan spends 20 minutes moving toward her office.
Answer:
0.5 ft per min
Step-by-step explanation:
in 80 minutes the radius expanded by 40%
we can set up a proportion of percent change over minutes:
.4/80 = r/1
cross-multiply to get:
80r = .4
r = .005 or 1/2 of a foot per minute.
Hope It Helps :)
Probability of getting a red marble: 3/10
probability of getting a blue marble (after removing a red marble): 2/9
multiply the two fractions together:
6/90
simplify (divide by 6): 1/15 or .06666 repeating
Answer:
The 64th term of the arithmetic sequence is -1075.
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms, called common difference, is always the same.
The nth term of an arithmetic sequence is given by:

In which
is the first term.
−4,−21,−38
First term -4, so 
Common difference of 
Thus


Find the 64th term of the arithmetic sequence
This is
. So


The 64th term of the arithmetic sequence is -1075.