Answer:
(3x^2+1)*(7x-2)
Step-by-step explanation:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
(((21 • (x3)) - (2•3x2)) + 7x) - 2
STEP
2
:
Equation at the end of step
2
:
(((3•7x3) - (2•3x2)) + 7x) - 2
STEP
3
:
Checking for a perfect cube
3.1 21x3-6x2+7x-2 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 21x3-6x2+7x-2
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 7x-2
Group 2: 21x3-6x2
Pull out from each group separately :
Group 1: (7x-2) • (1)
Group 2: (7x-2) • (3x2)
-------------------
Add up the two groups :
(7x-2) • (3x2+1)
Answer:
By 71 years of age 80% of the plan participants have passed away.
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 68 years and a standard deviation of 4 years.
This means that
By what age have 80% of the plan participants passed away?
By the 80th percentile of ages, which is X when Z has a p-value of 0.8, so X when Z = 0.84.
By 71 years of age 80% of the plan participants have passed away.
Answer:
6 + 4√5
Step-by-step explanation: