Answer:
4.75% probability that the line pressure will exceed 1000 kPa during any measurement
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

What is the probability that the line pressure will exceed 1000 kPa during any measurement
This is 1 subtracted by the pvalue of Z when X = 1000. So



has a pvalue of 0.9525
1 - 0.9525 = 0.0475
4.75% probability that the line pressure will exceed 1000 kPa during any measurement
Since an integer is a whole number, the numbers closer to 0 on the number line are -2 and -1, so there are 2 options.
The answer is 2 choices, in short.
Even numbers can’t be simplified
Answer:
y=2x+6
Step-by-step explanation:
slope intercept formula → y=mx+b

so 2 is your slope and the point (0,6) crosses the y-intercept at 6 since x = 0
plugin 2 for m (or the slope) and 6 for b (y-intercept)
your answer → y=2x+6
Hi! Basically, the problem is asking us to find the values of a, b, and c in the equation

. Since we have three unknowns, we just need three equations. We can find these equations by using the data in the table.
First let's plug x = 0 and f(x) = 0.


Now that we know c, it's time to pick two more pairs. Let's plug-in (2,78) and (4,152)


Before proceeding with the process of eliminating one variable, let us first reduce both equations to their lowest terms. We divide the first equation by 2 and we divide the second one by 4.


Next, we subtract equation 2 from equation 1.


Finally, we substitute the value of a to equation 2 to get the value of b.


Therefore, the function should be