Answer:
Option a) 50% of output expected to be less than or equal to the mean.
Step-by-step explanation:
We are given the following in the question:
The output of a process is stable and normally distributed.
Mean = 23.5
We have to find the percentage of output expected to be less than or equal to the mean.
Mean of a normal distribution.
- The mean of normal distribution divides the data into exactly two equal parts.
- 50% of data lies to the right of the mean.
- 50% of data lies to the right of the mean
Thus, by property of normal distribution 50% of output expected to be less than or equal to the mean.
Answer:
<h2>(0,1) and (2,5).</h2>
Step-by-step explanation:
The graph of the inequality is attached.
Remember, a solution of an inequality is a point on the shaded region. Also, it must satisfy the inequality expression

From the graph we know the possible answers are (0, 1) and (2, 5), let's prove it.
<h3>For (0, 1):</h3>

Which is true, so (0, 1) is solution.
<h3>For (2, 5):</h3>

Which is true, so (2, 5) is solution.
Therefore, the solutions are (0,1) and (2,5).
Answer:
4r² - 5r - 15 / r(r+3)
Step-by-step explanation:
To solve this problem, we will proceed the following way, writing down the common multiple of the denominators.

Thus, the answer is 4r² - 5r - 15 / r(r+3)
100, because, x^2 - 20x + 100 = ( x - 10 )^2;