The (0, 3] is taken out of the picture leaving you with B.
We have given that,
Machine 1 can complete a task in x hours while an upgraded machine (machine 2) needs 9 fewer hours.
We have to determine the,
The plant manager knows the two machines will take at least 6 hours, as represented by the inequality
after you find the intervals.
you also need to consider that the plant manager knows the two machines will take at least 6 hours.
so (0, 3] is taken out of the picture leaving you with B.
To learn more about the inequality visit:
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Two functions have equal values where their graphs cross.
A) The solution to the pair of equations
.. y = p(x)
.. y = f(x)
will be where the graphs intersect, at (x, y) = (-3, -3).
B) We already know that (-3, -3) is one solution to y=f(x). The graph also appears to go through the point (0, 0).
C) p(x) = g(x) where their graphs cross, at x = -6. Both functions have the value 1 for that value of x.
-8.571428571428571 look up percentage calculator and do it
Answer:
14 blocks
Step-by-step explanation:
Using the <em>normal distribution and the central limit theorem</em>, it is found that there is a 0.1335 = 13.35% probability that 100 randomly selected students will have a mean SAT II Math score greater than 670.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:

- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
In this problem:
- The mean is of 660, hence
.
- The standard deviation is of 90, hence
.
- A sample of 100 is taken, hence
.
The probability that 100 randomly selected students will have a mean SAT II Math score greater than 670 is <u>1 subtracted by the p-value of Z when X = 670</u>, hence:

By the Central Limit Theorem



has a p-value of 0.8665.
1 - 0.8665 = 0.1335.
0.1335 = 13.35% probability that 100 randomly selected students will have a mean SAT II Math score greater than 670.
To learn more about the <em>normal distribution and the central limit theorem</em>, you can take a look at brainly.com/question/24663213