<h3>Answers:</h3>
- (a) The function is increasing on the interval (0, infinity)
- (b) The function is decreasing on the interval (-infinity, 0)
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Explanation:
You should find that the derivative is entirely negative whenever x < 0. This suggests that the function f(x) is decreasing on this interval. So that takes care of part (b).
The interval x < 0 is the same as -infinity < x < 0 which then translates to the interval notation (-infinity, 0)
Similarly, you should find that the derivative is positive when x > 0. So the function is increasing on the interval (0, infinity)
Answer:
d ≈ 5.7
Step-by-step explanation:
[Given] d² = 33
[Square root both sides] 
= 
[Solve for and cancel out the square root + square] d ≈ 5.74456
[Round to nearest tenth] d ≈ 5.7
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
-2 x (5x-12)
Step-by-step explanation:
Answer:
5%
Step-by-step explanation:
The 68-95-99.7 rule for the Normal distribution is an empirical rule that remind us the percentages of data that falls between the mean ± 1, ± 2 and ± 3 standard deviations.
That is to say, if the mean is m and the standard deviation s, roughly speaking 68% of the data falls between [m-s, m+s], 95% between [m-2s, m+2s] and 99.7% between [m-3s, m+3s].
Since the mean is 3.0005 and the standard deviation is s=0.0010, 2s=0.0020, 95% of the data should fall between [3.0005-0.0020, 3.0005+0.0020] and 5% outside this interval. So <em>around 5% of total production will be scrap</em>.
For a population with mean (μ) = 100 and standard deviation (σ) = 20, the X value corresponding to z = 1.50 is 130.
<h3>What is a z-score?</h3>
A z-score is also referred to as a standard score and it's a measure of the distance between a raw score and the mean, when standard deviation units are used.
<h3>How to determine the value of x?</h3>
In Statistics, the standardized z-score is giving by this formula:
Making x the subject of formula, we have:
x = Zσ + μ
Substituting the given parameters into the formula, we have;
x = 1.50(20) + 100
x = 30 + 100
x = 130.
Read more on z-scores here: brainly.com/question/4302527
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Complete Question:
For a population with μ= 100 and σ = 20, what is the X value corresponding to z = 1.50?
30
101.5
115
130
