Answer:
Step-by-step explanation:
Now, we'll follow the PEMDAS order of operations:
Apply Fraction rule:
Common factor of 140 and 105: 35
___________________________
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.
2x+1 = -1/2 x +6
2.5x = 5
x = 2
y = 2(2) + 1 = 5
answer
x = 2 and y = 5
Answer:
Step-by-step explanation:
A polynomial is said to be in standard form when it is written in descending order of the given variable.
From the given polynomial
- s is written in descending power
- r is written in ascending order
Therefore, a first term of the polynomial must satisfy the following:
- Power of r must be less than 2
- Power of s must be greater than 4.
The following satisfies these conditions:
We are given : -3(4-6x) < x+5.
Solution: -3 is in front of Parenthesis.
We need to multiply -3 by (4-6x).
So, we need to applying distributive property.
On distributing, we get
-12+18x < x+5 (By distributive property)
The reverse operation of addition is subtraction. So we need to subtract x from both sides, we get
-12+18x-x < x-x+5 (By subtraction property of equality).
-12+17x < 5
Now, we need to get rid -12 from left side.
So, we need to apply addition property of equality, we need to add 12 on both sides, we get
-12+12+18x < x+5+12 (By addition property of equality)
17x < 17
We need to get rid 17 from left side. So we need to apply division property of equality.
On dividing both sides by 17, we get
17x/17 < 17/17 (By division property of equality)
x < 1.