Answer:
Kay sold 67; Allen sold 50
Step-by-step explanation:
Let "a" represent the number of phones that Allen sold.
a + (a+17) = 117 . . . equation used to find the answer
2a = 100 . . . . . . . . subtract 17, collect terms
a = 50 . . . . . . . . . . divide by 2; the number Allen sold
a+17 = 67 . . . . . . . . Kay sold 17 more than Allen
Answer:
n = 144 bags
Step-by-step explanation:
Given:-
- English porcelain miniature figurines in total = 12
- 1 figurine is to be placed in a 100-bag box
Find:-
On the average, how many boxes of tea must be pur-chased by a customer to obtain a complete collection consisting of the 12 nautical figurines?
Solution:-
- We will denote a random variable (X) as the number of figurines in (n) number of bags purchased.
- The probability (p) of finding a figurine in a single bag is ( success ):
p = 1 / 12
- The random variable (X) can follow a binomial distribution with parameters n = number of bags purchased, and p = probability of selecting a bag with a figurine.
X ~ B ( n , 1/12 )
- The average number of bag "n" that need to be purchased to find all 12 figurines available:
E ( X ) = 12
n*p = 12
n = 12 / p
n = 12 / ( 1 / 12) = 12^2
n = 144 bags
- A total of average n = 144 bags need to be purchased to find all the 12 figurines.
The four-fifths of a number, in this case, z is four times the number divided by z. That is 4z/5. When we add six to the product and equate the expression to 8, we get,
4z/5 = 8
The value of z from the equation is 10.
(a) The profit when the company sold 1000 pens is -1000.
(b) The number of pens that are required to sell in the break-even is 1167.
(a)
The profit when the company sold 1000 pens is
P = R - C
= 9x - (3x + 7000)
= (9 × 1000) - (3 × 1000 + 7000)
= 9000 - (3000 + 7000)
= 9000 - 10000
= -1000
(b)
The number of pens that are required to sell in the break-even is
R = C
9x = 3x + 7000
9x - 3x = 7000
6x = 7000
x = 1167
Therefore we can conclude that:
(a) The profit when the company sold 1000 pens is -1000.
(b) The number of pens that are required to sell in the break-even is 1167.
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