Your answer should be 32 because 384 <span>÷ 12 = 32</span>
Answer:
x = 3 . . . or . . . x = 4
Step-by-step explanation:
The factored form is ...
(x -3)(x -4) = 0
The zero product rule tells you the solutions are the values of x that make the factors be zero:
x = 3
x = 4
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Comment on factoring
When the leading coefficient is 1, the coefficient of the x-term is the sum of the constants in the binomial factors, and the constant term is their product. You can see this by multiplying out the generic case:
(x +a)(x +b) = x^2 +(a+b)x + ab
What this means is that when you're factoring, you're looking for factors of the constant that add up to give the coefficient of the x-term. Here, the x-term is negative and the constant is positive, so both factors will be negative.
12 = -1×-12 = -2×-6 = -3×-4
The sums of these factor pairs are -13, -8, -7. Clearly, the last pair of factors of 12 will be useful to us, since that sum is -7. So, the binomial factors of our equation are ...
(x -3)(x -4) = 0
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If the leading coefficient is not zero, the method of factoring is similar, but slightly different. Numerous videos and web sites discuss the method(s).
Answer:
A Cumulative probability distribution for the number of tires bought is prepared below.
Step-by-step explanation:
We are given that Sixty percent of the customers who go to Sears Auto Center for tires buy four tires and 22% buy two tires. Moreover, 12% buy fewer than two tires, with 6% buying none.
The cumulative probability distribution for the number of tires bought is given by;
<u>No. of tires</u> <u>Probability Distribution</u> <u>Cumulative Probability</u>
<u>Distribution</u>
0 6% 6%
1 6% 12%
2 22% 34%
3 6% 40%
4 60% 100%
Now, here we are given within the question about:
P(0 tires) = 6%
P(2 tires) = 22%
P(4 tires) = 60%
Also, P(Fewer than 2 tires) = 12% which means P(0 tires) + P(1 tire) must be equal to 12%. So, P(1 tire) = 12% - 6% = 6%.
And, in the end P(3 tires) = 100% - 6% - 6% - 22% - 60% = 6%.
Answer:
5
Step-by-step explanation:
So we want to find the value of x where the area to the left of it is equal to 0.6.
Let's start by finding the area of the first triangle, between x=0 and x=4.
A = 1/2 bh
A = 1/2 (4) (0.2)
A = 0.4
So we know a > 4. What if we add the area of that rectangle?
A = 0.4 + bh
A = 0.4 + (1) (0.2)
A = 0.6
Aha! So a = 5.
