Solution
To solve this addition of fractions we are gonna apply the fraction rule which is;
a/c + b/c = (a + b)/c
2/11 + 1/11 = (2 + 1)/11
= (2 + 1)/11 + 2/7
Now add the numerators 2 + 1
= (2 + 1)/11 + 2/7
= 3/11 + 2/7
Now we find the least common multiple
The least common multiple of 11 and 7 is 77.
But before that we cross multiply the numerators.
3 * 7 = 21
2 * 11 = 22
Now the ajustes fraction is;
21/77 + 22/77
Apply the fraction rule which is;
a/c + b/c = (a + b)/c
= (21 + 22)/77
Now we add the numerators.
43/77
Therefore the answer in fraction is 43/77 and in decimal form it is 0.55841
Answer:
No
Step-by-step explanation:
polynomial does not have any zero terms
The difference quotient and simplification will be = [4 -h-2x]
The given equation is as follows: f(x)= 4x - x²
For finding the quotient and further simplification we must follow the following steps:
[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h
<h3>What is simplification of algebraic operations?</h3>
Getting the functions in their lowest terms is known as simplification.
Brackets will get open and solved further;
[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h
[f(x + h) - f(x)] / h = [4h - h² - 2x]/ h
Finally dividing the whole equation with h;
= [4 - h - 2x]
Learn more about algebraic operations,
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# SPJ1
Answer:
probability of lasting longer = 1.7%
Step-by-step explanation:
We are given:
x' = 14 years
μ = 12.3 years
s = 0.8 years
Thus, let's use the formula for the Z-score value which is;
z = (x' - μ)/s
Thus;
z = (14 - 12.3)/0.8
z = 2.125
From the z-distribution table attached, the p-value is ;
P(x' > 2.125) = 1 - 0.983 = 0.017 = 1.7%
Thus,probability of lasting longer = 1.7%