Answer:
The answer to the question is
The probability that at least one of the next three customers purchases premium gas is the complement of the probability that none of the next three customers purchase premium gas = 1 - (1-P(A))³ = 0.834
Step-by-step explanation:
The probability that a customer would purchase premium grade = 45 %
That is P(A) = 0.45 and
The probability that the customer would purchase another grade = P(B) = 0.55
Therefore the probability of at least one of the next three customers purchase premium gas is
P(k=0) = (1 - P)ⁿ and the probability of at least one customer purchases premium gas is the compliment of the probability that the next three customers purchase another gas brand
that is (1 - P(A))×(1 - P(A))×(1 - P(A)) = P(B)×P(B)×P(B) = 0.55³ and the complement is 1 - 0.55³ = 0.834
Transpose all the terms in the left hand side of the equation. The equation then becomes,
8x² - 22x - 6 =0
Divide both sides of the equation by 2,
4x² - 11x - 3 = 0
In this equation, A = 4, B = -11, and C = -3
With the variables identified, the quadratic equation can be used to identify the roots,
x = (-B +/- √B² - 4AC) / 2A
The values of x in the equation are,
<em> x = 3 and x = -1/4
</em><em />Thus, the one of the answer to this item is the third choice, x = 3. <em>
</em>
Answer:
The balance be after he has made exactly half of his monthly payments is $56881.4.
Step-by-step explanation:
Given : Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly.
To find : What will his balance be after he has made exactly half of his monthly payments?
Solution :
Formula of monthly payment ,
Discount factor 
Where, Amount = $40,000
Rate r= 4% compounded monthly
Time = 10 years
Now, put all the values we get,
Half of the monthly payment is $807.345
Payment for 10 years is 
The balance is $96881.4-$40000=$56881.4
Therefore, The balance be after he has made exactly half of his monthly payments is $56881.4.
Answer:
X can be 2,3,4,5,6,7,8
Step-by-step explanation:
X is greater than or equal to 2 and less than or equal to 8
It can only be integers
X can be 2,3,4,5,6,7,8
Answer: x+y =12
0.40x+0.50y =5.70
Step-by-step explanation:
Let x = Number of ears of yellow corn
y - Number of ears of peaches and cream variety.
AS per given,
x+y = 1 dozen
⇒ x+y =12 [1 dozen =12]
Cost per ear of yellow corn = 40 cents = $0.40 [1 dollar = 100 cents, 1 cent = 0.01 dollar]
Cost per ear of peaches and cream variety = 50 cents = $ 0.50
Total cost ( in$): 0.40x+0.50y =5.70
Required system of equations represents the number of ears of corn of each type that Larji purchased:
x+y =12
0.40x+0.50y =5.70
