Answer:
Step-by-step explanation:
Given that:
X(t) = be the number of customers that have arrived up to time t.
... = the successive arrival times of the customers.
(a)
Then; we can Determine the conditional mean E[W1|X(t)=2] as follows;
Now
(b) We can Determine the conditional mean E[W3|X(t)=5] as follows;
Now;
(c) Determine the conditional probability density function for W2, given that X(t)=5.
So ; the conditional probability density function of given that X(t)=5 is:
500/7 = 71.43 gallons per hour
950-500 = 450
450/71.43 = 6.3 more hours.
Nathan's total allowance is $11.25 ; amount deposited is $8.75
Given:
Savings = 7/9 of his allowance
Excess = $2.50 or 2/9 of his allowance
to get the amount deposited, we need to first get the total allowance.
2.50 ÷ 2/9 ⇒ 2.50 * 9/2 = 22.5/2 = 11.25
Total allowance = 11.25
amount to be deposited: 11.25 * 7/9 = 78.75/9 = 8.75
Step-by-step explanation:
that is just a complicated way to ask, at what values of x is the functional value infinite ? or directly, for what values of x is the denominator of that fraction 0 ?
it is zero, if just one of the 3 factors is 0.
and that would happen for
x = 0
x = -6
x = 1
so, A, D and E are correct.
Answer:
Shelf A = $6 ;Shelf y = $4
Step-by-step explanation:
Let :
x = cost of items from shelf A
y = cost of items from shelf B
3x + 2y = 26 - - - - (1)
2x + 5y = 32 - - - - (11)
Using elimination method :
Multiply (1) by 2 and (11) by 3
6x + 4y = 52 - - - (111)
6x + 15y = 96 - - - (1V)
Subtract (1V) from (111)
-11y = - 44
y = 44/ 11 ; y = 4
Put y = 4 in (1)
3x + 2(4) = 26
3x + 8 = 26
3x = 26 - 8
3x = 18
x = 18 / 3
x = 6