Answer:

Step-by-step explanation:
Factorise the denominator of the second fraction
y² - 1 = (y - 1)(y + 1) ← difference of squares
To obtain a common denominator
multiply numerator/ denominator of first fraction by (y + 1)
=
-
← subtract numerators leaving the common denominator
= 
= 
=
← cancel common factor (y - 1) on numerator/denominator
= 
Answer:
the answer is 480 cubic feet
Answer:
Option D
Step-by-step explanation:
Increasing intervals represent the inputs that make the graph rise, or the intervals where the function has a positive slope. Decreasing intervals represent
the inputs that make the graph fall, or the intervals where the function has a negative slope.
The inputs ( − values) that make () rise are
(-2,∞)
Answer:
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
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.
A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1.
This means that 
Find the probability that there will be fewer than 69 broken pretzels in a run.
This is the p-value of Z when X = 69.



has a p-value of 0.1894
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.