Answer:
a.0.8664
b. 0.23753
c. 0.15866
Step-by-step explanation:
The comptroller takes a random sample of 36 of the account balances and calculates the standard deviation to be N42.00. If the actual mean (1) of the account balances is N175.00, what is the probability that the sample mean would be between
a. N164.50 and N185.50?
b. greater than N180.00?
c. less than N168.00?
We solve the above question using z score formula
z = (x-μ)/σ/√n where
x is the raw score,
μ is the population mean = N175
σ is the population standard deviation = N42
n is random number of sample = 36
a. Between N164.50 and N185.50?
For x = N 164.50
z = 164.50 - 175/42 /√36
z = -1.5
Probability value from Z-Table:
P(x = 164.50) = 0.066807
For x = N185.50
z = 185.50 - 175/42 /√36
z =1.5
Probability value from Z-Table:
P(x=185.50) = 0.93319
Hence:
P(x = 185.50) - P(x =164.50)
= 0.93319 - 0.066807
= 0.866383
Approximately = 0.8664
b. greater than N180.00?
x > N 180
Hence:
z = 180 - 175/42 /√36
z = 5/42/6
z = 5/7
= 0.71429
Probability value from Z-Table:
P(x<180) = 0.76247
P(x>180) = 1 - P(x<180) = 0.23753
c. less than N168.00?
x < N168.
z = 168 - 175/42 /√36
z = -7/42/6
z = -7/7
z = -1
Probability value from Z-Table:
P(x<168) = 0.15866
Hey there!
Use The Pythagorean theorem. It’s a^2+b^2=c^2. Plug in 11 and 60. The equation would be 11^2+60^2=c^2. Simplify to get 121+3600=c^2. Simplify again to get 3721=c^2. Sqaure root each side to get c=61. The answer is the last one, c=61.
I hope this helps!
Answer:
The revenue for Granton location is 175 thousand dollars
Step-by-step explanation:
Given
Cedarton 121
Rimber 189
Linton 147
Mean = 158
Required
Revenue for Granton location.
To calculate the revenue for Granton location, we make use of mean formula.
Mean is calculated by Summation of Observation divided by number of observations.
Since Granton location is unknown; Let it be represented by letter G.
So, the summation of observation becomes 121 + 189 + 147 + G
Summation = 457 + G
The number of observations = 4
Recall that Mean = Summation ÷ Number
By substituting 158 for mean, 457 + G for summation and 4 for number, we have
158 = (457 + G) ÷ 4
158 = ¼(457 + G)
Multiply both sides by 4
4 * 158 = = 4 * ¼(457 + G)
632 = 457 + G
Make G the subject of formula
G = 632 - 457
G = 175
Hence, the revenue for Granton location is 175 thousand dollars
