The anwser is 0.72 because you divide 2.18 by 3
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
Answer:
a= x= 3, -1
b= x=1
c= (1, -8)
Step-by-by-step explanation:
For the show your work, you have to create the graph of the parabola. (attached image)
Answer:
He saw <u>1 duck</u> and <u>3 dogs</u>.
Step-by-step explanation:
Given:
Evan went to the park and saw four animals.
Each animal was either a duck or a dog.
He saw a total of 14 legs.
Now, to find the number of each animal he had seen.
Let the number of duck be ![x.](https://tex.z-dn.net/?f=x.)
And the number of dog be ![y.](https://tex.z-dn.net/?f=y.)
So, total number of animals:
![x+y=4\\y=4-x](https://tex.z-dn.net/?f=x%2By%3D4%5C%5Cy%3D4-x)
Now, the total number of legs he did see:
<em>As we know the legs of a duck are 2 and a dog are 4.</em>
Adding both sides by -16 we get:
![-2x=-2](https://tex.z-dn.net/?f=-2x%3D-2)
Dividing both sides by -2 we get:
![x=1](https://tex.z-dn.net/?f=x%3D1)
The number of duck = 1.
Now, putting the value of
in above equation we get:
![y=4-x](https://tex.z-dn.net/?f=y%3D4-x)
![y=4-1\\y=3.](https://tex.z-dn.net/?f=y%3D4-1%5C%5Cy%3D3.)
The number of dogs = 3.
Therefore, he saw 1 duck and 3 dogs.
Answer:
20
Step-by-step explanation:
20*20 = 400
OR
![20 {}^{2} = 400](https://tex.z-dn.net/?f=20%20%7B%7D%5E%7B2%7D%20%20%3D%20400)