Answer:
The measurement was off by 0.7%
Step-by-step explanation:
To find the relative error in the measurement, start by finding the difference.
36 - 35.75 = 0.25
Now divide that by the actual measurement of the door.
0.25/35.75 = 0.7%
Answer:
14.69% probability that defect length is at most 20 mm
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:

What is the probability that defect length is at most 20 mm
This is the pvalue of Z when X = 20. So



has a pvalue of 0.1469
14.69% probability that defect length is at most 20 mm
Answer:
Therefore the solutions are

Step-by-step explanation:
Given:
.........( 1 )
................( 2 )
To Find:
x = ?
y = ?
Solution:
Substituting ' y ' in Equation 1 we get

Using identity (A+B)²=A²+2AB+B² we get

Now Substitute x =0 in equation 2 we get

Or
Now Substitute x =-4 in equation 2 we get

Therefore the solutions are

So how you find the x-intercept is is by replacing y, with 0 and solve
to find the y-intercept, you replace x with 0 and solve
x-int:
0=-3x+12
-12=-3x
x=4 --> (4,0)
y-int:
y=-3(0)+12
y=0+12
y=12 --> (0,12)
5+2x=17 is the inequality.