Answer:
The equation could be used to find the dimensions of the window would be:
Step-by-step explanation:
as
and
So it means
Therefore, the equation could be used to find the dimensions of the window would be:
Answer:
The 90th percentile of the distribution is 6.512 ml.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 6 milliliters (ml) and a standard deviation of 0.4 ml.
This means that
Find the dye amount that represents the 90th percentile (i.e. 90%) of the distribution.
This is X when Z has a p-value of 0.9, so X when Z = 1.28. Then
The 90th percentile of the distribution is 6.512 ml.
Answer:
y = x
Step-by-step explanation:
slope-intercept form: y = mx + b
Given: slope(m) = , point (4, -3)
We already have the value of m, but we need to find the value of b. To do this, input the given values of the slope and the point into the equation:
-3 = (4) + b
Solve for b:
-3 = (4) + b
-3 = -3 + b
0 = b
The value of b is zero. We can now write the equation:
y = x + 0
y = x
The equation written in slope-intercept form is: y = x