Answer:
The probability that the service desk will have at least 100 customers with returns or exchanges on a randomly selected day is P=0.78.
Step-by-step explanation:
With the weekly average we can estimate the daily average for customers, assuming 7 days a week:
We can model this situation with a Poisson distribution, with parameter λ=108. But because the number of events is large, we use the normal aproximation:
Then we can calculate the z value for x=100:
Now we calculate the probability of x>100 as:
The probability that the service desk will have at least 100 customers with returns or exchanges on a randomly selected day is P=0.78.
Consider this option:
C³₂₇=27!/(3!*24!)=25*13*9=2925 ways to select 3 students.
we are given
Firstly, we will split terms
We can group first two and last two terms
we can see that 2x^2 is common in first two terms
and 3 is common in last two terms
so, we can factor factor out 2x^2 from first group and 3 from second group
we get
we can see that each terms are multiple of 6x-1
so, we can factor out 6x-1
so, we get
............Answer
Answer:
Option 4 is correct.
The equation 
is equivalent to 
Step-by-step explanation:'
Given equation:
First group the terms with x and those with y;
Next, we complete the squares.
We can do this by adding a third term such that the x terms and the y terms are perfect squares.
For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.
⇒
or
Add 360 on both sides we get;
Simplify:
Therefore, the given equation is equivalent to
Answer:
58, 37, 9
Step-by-step explanation:
Given:
First term a₁ = 65 and common difference d = - 7
This sequence is arithmetic series and formula for calculating n-th term is:
aₙ = a₁ + (n-1) d
Accordingly
The second term is:
a₂ = 65 + (2-1) (-7) = 65 - 7 = 58
a₂ = 58
The fifth term is:
a₅ = 65 + (5 - 1) (-7) = 65 + 4 · (-7) = 65 - 28 = 37
a₅ = 37
The ninth term is:
a₉ = 65 + (9 - 1) (-7) = 65 + 8 · (-7) = 65 - 56 = 9
a₉ = 9
God with you!!!
