$220.87 , (it would be $220.88 if you have to round up though
Answer:
Given - Triangle ABC
AD bisects BC ( I.e AB = AD)
To prove - Angle BAD = Angle CAD
Solution -
AB = AD (given)
Angle B = Angle C ( angle opposite to equal sides are also equal )
In a triangle BAD and CAD
AD = AD ( common)
angle B = Angle C ( prove above)
AB = AD = ( given )
By SAS congruence Triangle ABC is congruent to Triangle ABD
by CPCT BAD = CAD
hence, Proved
Answer:
0.6462
Step-by-step explanation:
Given that
Mean (m) = 9.8
Standard deviation (s) = 1.6
Probability that mean length is greater than 9.2
Z = (x - m) / s
Z = (9.2 - 9.8) / 1.6
Z = - 0.6 / 1.6
Zscore = - 0.375 = - 0.375
P(Z >- 0.375) = 1 - P(Z < - 0.375) ;
P(Z < - 0.375) = 0.3538
1 - P(Z < - 0.38) = 1 - 0.3538 = 0.6462
Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The population mean is 
The standard deviation is 
The sample mean is 
The sample size is n = 6 packs
The standard error of the mean is mathematically represented as

substituting values


Given that the can’s contents follow a Normal distribution then then the probability that the mean contents of a six-pack are less than 12 oz is mathematically represented as

Generally 
So

substituting values


From the normal distribution table the value of
is

=> 
Assuming the keypad has all 26 letters and the numbers 1-9 there are 2106 possible codes
9x9x26=2106