Answer:
Step-by-step explanation:
Since the amount of soft drink dispensed into a cup is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = amount in ounce of soft drink dispensed into cup.
µ = mean amount
σ = standard deviation
From the information given,
µ = 7.6oz
σ = 0.4 oz
a) The probability that the machine will overflow an 8-ounce cup is expressed as
P(x > 8) = 1 - P(x ≤ 8)
For x = 8,
z = (8 - 7.6)/0.4 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.84
P(x ≤ 8) = 1 - 0.84 = 0.16
b) P(x< 8) = 0.84
c) when the machine has just been loaded with 848 cups, the number of cups expected to overflow when served is
0.16 × 848 = 136 cups
Correct answer is C.
m + 3s = 50
the total number of questions is 20. since the paper is made of only multiple choice and short answer questions, the sum of the multiple choice and short answer questions should be 20.
since multiple choice is 'm' and short answer is 's'
then m + s = 20
but theres no option for that
if we take the number of points
points for 1 multiple choice question - 1
then points for m number of multiple choice questions = 1 * m = m
points for 1 short answer - 3
then points for s number of short answer question = 3 * s = 3s
then total number of points = m + 3s
and the total number of points = 50
therefore
m + 3s = 50
this is the correct answer C.
Answer:
The answer is the first R
Step-by-step explanation:
Because I said so
I got C for 6 & 7. I haven't done this in a while so I don't know 8 & 9. I hope I helped!
Answer:
<h2>A = 20</h2><h2>P = 6√10</h2>
Step-by-step explanation:
The formula of a distance between two points:
A(-3, 0) , B(3, 2)
A(-3, 0), D(-2, -3)
AB = CD and AD = BC
The area of a rectangle:
Substitute:
The perimeter of a rectangle:
Substitute:
