Answer:
89.008
Step-by-step explanation:
z = (x– mean)/ standard deviation
x = z * standard deviation + mean
Now, z value for the top 4% of the exams (which is the same as getting a score below the 96%) has to be found using a z table.
In this case z = 1.751
x = 1.751 * 8 + 75
x = 89.008
We must recall that a horizontal asymptote is the value/s of y that the given function approaches to but never reaches. To find this in a rational function, we compare the expressions with highest degree in the numerator and denominator. There are three possible outcome when this happens.
1. if the highest degree (highest exponent) in the numerator is bigger than that of the denominator, then there won't be any horizontal asymptote.
2. if the highest degree in the denominator is bigger, then the horizontal symptote would be y = 0.
3. if they have the same highest degree, then we just get the quotient of their coefficient.
Now, going back to our function, we have

From this we can see that the highest degree in the numerator is 1 (from 2x) and 2 (from x²) for the denominator. Clearly, it shows that its denominator has a higher degree. And from our discussion, we can conclude that the horizontal asymptote would be y = 0.
Answer: y = 0
Answer:
a) (59180,60820)
b) (59020,60980)
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $60,000
Standard Deviation, σ = $5,000
Sample size, n = 100
a) 90% critical values
Putting the values, we get,

b) 95% critical values
Putting the values, we get,

Answer:
3/4
Step-by-step explanation:
Let V be the volume of the container.
(2/3)v=(1/2)
V = 1/2//2/3 = 1/2 times 3/2
Answer:
volume = 33.5 in³
Step-by-step explanation:
<u>Formula</u>:

<u>Given</u>:
Substituting the given values into the formula:



