Answer:
The proportion of jugs which receive more than 65 ounces of detergent is 0.0062 or 0.62%
Step-by-step explanation:
Mean amount of detergent = u = 64
Standard deviation =
= 0.4
We need to find the proportion of jugs with over 65 ounces of detergent. Since the population is Normally Distributed and we have the value of population standard deviation, we will use the concept of z-score to solve this problem.
First we will convert 65 to its equivalent z-score, then using the z-table we will desired proportion. The formula to calculate the z-score is:

x = 65 converted to z score will be:

Therefore, the probability of detergent being more than 65 ounces is equivalent to probability of z-score being over 2.5
i.e.
P(X > 65) = P(z > 2.5)
From the z-table and using the property of symmetry:
P(z > 2.5) = 1 - P(z < 2.5)
= 1 - 0.9938
= 0.0062
Therefore,
P(X > 65) = P(z > 2.5) = 0.0062
So, the proportion of jugs which receive more than 65 ounces of detergent is 0.0062 or 0.62%
Answer:
The set of Real numbers
Step-by-step explanation:
x² + 4 is a parabola with the lowest point on the y-axis is 4 and continues up
-x² + 4 is a parabola with the highest point on the y-axis is 4 and continues down.
The range is the distance traveled on the y- axis.
All real numbers.
1)
To find the Surface Area of a cube you do
SA = 6 x

Where [tex a^{2} [/tex] is the side you know.
For this problem you take SA = 6 x

SA = 6 x 4 x 4
SA = 6 x 16
SA = 96
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2)
I cannot help you on this, I have never been good with doing trapezoids.
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3)
Volume =

Volume = 2

^ 3
Volume = 15
Answer:
-3.8=n
Step-by-step explanation:
My goal is to get n all by itself, but its multiplied by 6. If I do the inverse operation (which is division) on both sides I will get -22.8/6=n. Now I can just simply combine the like terms and finalize my answer. 6 * 3=18 but -22.8 is a decimal number so my answer will range from around 3.5-3.9. if I divide -22.8/6 I get -3.8. My final answer is n=-3.8
Answer:
Each bottle is $4
Step-by-step explanation:
12/3