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
Answer:
Twice a number increased by five - 2x + 5
Five decreased by twice a number- 5 - 2x
Twice the difference of a number and five- 2(x - 5)
Twice the sum of a number and five= 2(x + 5)
Five subtracted from twice a number= 2x - 5
Twice a number, less five= 2x - 5
Answer:
A. 50
Step-by-step explanation:
Sum of interior angles of a triangle is always =180 °
Since this is a right triangle, therefore we know that one angle of the triangle measures 90°
Therefor sum of other two angles has to be =
One angle measures = 40°
Therefore the missing angle 
Answer:
a) √2
b) √(5a)
c) √3
d) -√2
e) -√(3x)
Step-by-step explanation:
This problem set makes use of the relation ...
... a√b = √(a²b)
a) (1/3)√18 = √(18·(1/3)²) = √(18/9) = √2
b) 5√(a/5) = √(25a/5) = √(5a)
c) 2√(3/4) = √(4·3/4) = √3
d) -10√0.02 = -√(100·0.02) = -√2
e) -(1/2)√(12x) = -√(12x/4) = -√(3x)
