Using equations to solve the word problem, Katherine's age is 8 years
<h3>Word Problem</h3>
Word problem are often mathematical problem that are represented in words and sometimes can be solved using an equation.
To solve this problem, we have to represent the problem using mathematical equations;
Let;
Katherine's age = x²
Alexandra = 5(x + 1)
Sum of their age = 109
5(x + 1) + x² = 109
5x + 5 + x² = 109
x² + 5x - 104 = 0
Solving for the equation; x = 8
Katherine's age is 8
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Number 5 is 135 because angle 3 is congruent to 7 and 7 is 135
Answer:
The probability that the sample will contain exactly 0 nonconforming units is P=0.25.
The probability that the sample will contain exactly 1 nonconforming units is P=0.51.
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Step-by-step explanation:
We have a sample of size n=4, taken out of a lot of N=12 units, where K=3 are non-conforming units.
We can write the probability mass function as:
where k is the number of non-conforming units on the sample of n=4.
We can calculate the probability of getting no non-conforming units (k=0) as:
We can calculate the probability of getting one non-conforming units (k=1) as:
I'm assuming this is x^2 + 3x - 4 and x(x^2 + 3x - 2)
1.) First distribute x(x^2 + 3x - 2) to get x^3 + 3x^2 - 2x.
2.) Because you are subtracting all the terms from x^3 + 3x^2 - 2x, it's the same thing as distributing -1 to x^2 + 3x - 4 and then adding it to x^3 + 3x^2 - 2x.
3.) -1(x^2 + 3x - 4) = -x^2 - 3x + 4
4.) Add (x^3 + 3x^2 - 2x) + (-x^2 - 3x + 4)
5.) x^3 + 2x^2 - 5x + 4 is your final answer.
