Answer:
We have to find the z critical value at 100% - 90% = 10% level of significance.
Since the normal distribution has two tails, we therefore, need to divide the significance level into two tails with each tail having area of 5%.
Now using the standard normal table, the z critical is:
Hi there!
To solve, we must use PEMDAS:
P: Parenthesis
E: Exponents
M: Multiply
D: Divide
A: Add
S: Subtract
Evaluate the inside of the parenthesis:
(124 + 6 × 8)
Multiply first:
(124 + 48)
Evaluate:
124 + 48 = 172
Divide by 2:
172 ÷ 2 = 86 = t
Part A. You have the correct first and second derivative.
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Part B. You'll need to be more specific. What I would do is show how the quantity (-2x+1)^4 is always nonnegative. This is because x^4 = (x^2)^2 is always nonnegative. So (-2x+1)^4 >= 0. The coefficient -10a is either positive or negative depending on the value of 'a'. If a > 0, then -10a is negative. Making h ' (x) negative. So in this case, h(x) is monotonically decreasing always. On the flip side, if a < 0, then h ' (x) is monotonically increasing as h ' (x) is positive.
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Part C. What this is saying is basically "if we change 'a' and/or 'b', then the extrema will NOT change". So is that the case? Let's find out
To find the relative extrema, aka local extrema, we plug in h ' (x) = 0
h ' (x) = -10a(-2x+1)^4
0 = -10a(-2x+1)^4
so either
-10a = 0 or (-2x+1)^4 = 0
The first part is all we care about. Solving for 'a' gets us a = 0.
But there's a problem. It's clearly stated that 'a' is nonzero. So in any other case, the value of 'a' doesn't lead to altering the path in terms of finding the extrema. We'll focus on solving (-2x+1)^4 = 0 for x. Also, the parameter b is nowhere to be found in h ' (x) so that's out as well.
Solution
The z-score, also referred to as standard score, z-value, and normal score, among other things, is a dimensionless quantity that is used to indicate the signed, fractional, number of standard deviations by which an event is above the mean value being measured. Values above the mean have positive z-scores, while values below the mean have negative z-scores.
Mean is $650
Standard deviation = $50
[tex]P(-1
Therefore the estimated percent of apartment residents = 81.86%
7.5 feet.
25 percent of 6 can be found by multiplying 6 by 25 and dividing it by 100. (6*25/100= 1.5)
That means 25% of 6 is 1.5
Add 6 and 1.5 and you get 7.5 feet
