<h3>
Answer:</h3>
equations
solution
<h3>
Step-by-step explanation:</h3>
Let "a" and "c" represent the numbers of adult and children's tickets sold, respectively. The problem statement tells us two relationships between these values:
... 20a +10c = 15000 . . . . . . total revenue from ticket sales
... c = 3a . . . . . . . . . . . . . . . . relationship between numbers of tickets sold
Using the expression for c, we can substitute into the first equation to get ...
... 20a +10(3a) = 15000
... 50a = 15000
... a = 15000/50 = 300 . . . . . adult tickets sold
... c = 3·300 = 900 . . . . . children's tickets sold
Answer:
(A) 0.15625
(B) 0.1875
(C) Can't be computed
Step-by-step explanation:
We are given that the amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 32 and 64 minutes.
Let X = Amount of time taken by student to complete a statistics quiz
So, X ~ U(32 , 64)
The PDF of uniform distribution is given by;
f(X) =
, a < X < b where a = 32 and b = 64
The CDF of Uniform distribution is P(X <= x) =
(A) Probability that student requires more than 59 minutes to complete the quiz = P(X > 59)
P(X > 59) = 1 - P(X <= 59) = 1 -
= 1 -
=
= 0.15625
(B) Probability that student completes the quiz in a time between 37 and 43 minutes = P(37 <= X <= 43) = P(X <= 43) - P(X < 37)
P(X <= 43) =
=
= 0.34375
P(X < 37) =
=
= 0.15625
P(37 <= X <= 43) = 0.34375 - 0.15625 = 0.1875
(C) Probability that student complete the quiz in exactly 44.74 minutes
= P(X = 44.74)
The above probability can't be computed because this is a continuous distribution and it can't give point wise probability.
Quantity of dolls and horses are 10 and 5 respectively .
Selling prices of dolls and horses are $7 and $ 9 respectively .
And the commission on them are $2 and $ 3 respectively .
So net price = 10*(7-2) + 5(9-3) = 10+5 + 5*6 = 50+30 = 80
So the total value of the merchandise using net realizable value is $ 80. Therefore out of the given options, correct option is the last option .
Step 1 : 11875=2x+2391
Step 2: 11875-2391=2x
Step 3: 9484=2x
Step 4: 9484/2=x
Step 5: x=4742
Answer:
y=3x-38
Step-by-step explanation:
We know that Tracy spent $38 in less than 3 times than what Daniel spent. Given this information we can put our eqaution together.
Y=3x-38
Hope this helps! :)