Answer:
0.616
Step-by-step explanation:
The number of Us quarters is 43 while the number of Canadian quarters is 7.
The number of quarters we are to pick is 6
Mathematically, the probability of getting at least one Canadian quarter = 1 - probability of getting no Canadian quarter
This means we have to calculate the probability of getting no Canadian quarter first.
The total number of possible outcomes is 50C6 = 15,890,700
If we are to get all to be US quarters, that means we are getting exactly 6 out of 43 = 43C6 = 6,096,454
Hence, probability of no Canadian quarters is 6,096,454/15,890,700 = 0.384
The probability of at least 1 Canadian quarters is thus 1-0.384 = 0.616
Answer:
B. False, they could be vertical angles
Step-by-step explanation:
Supplementary just mean when two angles form 180° (a straight line).
So ∠F and ∠G must form a straight line, and ∠G and ∠H must form a a straight line.
I drew the image out below and as you can see, angle F and H forms a vertical angle. A vertical angles is when two lines cross, the opposite angles from each others are called vertical angles.
Answer:
A' ( 2, 4) and B' ( -4, 0)
Step-by-step explanation:
A ( -2, 4) and B( 4,0) reflected over the y-axis
A' ( 2, 4) and B' ( -4, 0)
the y-coordinate do not change and the x is opposite sign
(x,y) reflected over y-axis (-x, y)
Answer: 3
Step-by-step explanation:
Given : Standard deviation : 
Margin of error : 
Significance level : 
By using the standard normal table of z ,
Critical value : 
The formula we use to find the minimum sample size required :-

i.e. 
Hence, the number of lights should we select if we wish to estimate μ to within 5 seats and be 95 percent confident =3
Answer:
Step-by-step explanation:
a. The probability of selecting a 6 from the first draw and a 7 on the second draw when two balls are selected without replacement from a container with 10 balls numbered 1 to 10
Not independent because without replacement
Prob for both = 
b. The probability of selecting a 6 on the first draw and a 7 on the second draw when two balls are selected with replacement from a container with 10 balls numbered 1 to 10
Here independent because with replacement makes probability independent.
Prob for both = P(A) *P(B) =
d
c. The probability that two people selected at random in a shopping mall on a very busy Saturday both have a birthday in the month of June. Assume that all 365 birthdays are equally
likely, and ignore the possibility of a February 29 leap-year birthday.
Here independent because one person birthday will not affect the other person birthday
Prob for both = 
d. The probability that two socks selected at random from a drawer containing 10 black socks and 6 white socks will both be black
Prob for I sock black = 10/16 and II sock black if first sock is black = 9/15
Hence not independent
Prob for both = 