Square root of 3, since it's a continous decimal
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:
Option (A) will be the correct match.
Step-by-step explanation:
We are asked to find which of the given equations matches the proportional relationship.
The only option (A) matches,
It is given that a cell phone rates plan costs 6 cents per minute.
Now, 6 cents is equivalent to $0.06.
Therefore, for a call of duration x minutes the cost of the call y, in dollars, will be given by
y = 0.06x
So, option (A) will be the correct match. (Answer)
The width is given as = x cm
As length is given as= the length is 5 cm more than the width
The width of the rectangle is = x cm
So, length of the rectangle becomes= x+5 cm
Answer:
Step-by-step explanation:
<u>Solution 1:</u>
Recall that in an isosceles triangle, the two angles adjacent to the congruent sides are equal. Since the sum of interior angles in a triangle add up to 
, we set up the following equation:
.
Solving, we get:
.
<u>Solution 2:</u>
The Law of Sines states:
, for any triangle.
We can use this to set up a proportion with the information given:
.
Solving, we get:
.
