Answer:
1/2 glass milk is left.
Step-by-step explanation:
2/3 - 1/6 = 1/2
Answer:
its means a varieble or an unknown value
Step-by-step explanation:
Answer:
y = -6
Step-by-step explanation:
y is multiplied by 3 and 20 is added to the sum. We undo these operations in reverse order.
First we subtract 20 from both sides of the equation:
3y = -18
Then we divide both sides of the equation by 3 to undo the multiplication.
y = -18/3 = -6
The solution is y = -6.
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:
B
Step-by-step explanation:
Given a sinusoidal function in the form , we can say:
- A is the amplitude
- is the period
- is the phase shift
- D is the vertical shift
From the function given m(t) = 7 Cos (t+3), we see that
A = 7
B = 1
C = 3
D = 0
Thus, from the info, we can say
Amplitude = 7
Period = 2π
Phase Shift = -3
Vertical Shift = 0
Answer choice B is right.