Let's see what the options look like when we multiply the expressions in brackets:
(first, i multiply both parts of the second bracked by the first part of the first bracket, and then the same with the second part of the first bracket:
<span>(1) (3x - 3)(x - 2))
3x2 +6x -3x +6// this is not correct
(2) (3x + 3)(x - 2) </span>
3x2-6x+3x-6//this is not correct
(3)
3(x + 1)(x - 2)
3(x2-2x+x-2)//simplifying:
3(x2-x-2)//multiplying:
3x2-3x-6)
- so this is not correct either
(4) 3(x - 1)(x - 2)
3(x2-2x - x + 2)
3(x2-3x +2)
3x2-9x +6 - well, here is our winner!
Complete Question
A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 90% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?
Round your answer up to the nearest integer.
sample size = _____
Answer:
The sample size is
Step-by-step explanation:
From the question we are told that
The margin of error is E = 5% = 0.05
Generally given that there was no prior knowledge about the proportion of who might support the law, we will assume the sample proportion to be
From the question we are told the confidence level is 90% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the sample size is mathematically represented as
=>
=>
Answer:
y = 8 or y = -14
Step-by-step explanation:
Solve for y over the real numbers:
abs(y + 3) - 4 = 7
Add 4 to both sides:
abs(y + 3) = 11
Split the equation into two possible cases:
y + 3 = 11 or y + 3 = -11
Subtract 3 from both sides:
y = 8 or y + 3 = -11
Subtract 3 from both sides:
Answer: y = 8 or y = -14
Answer:
x=4, y=4, λ=-16
Step-by-step explanation:
We have this 3x3 system of linear equations:
λ
λ
So, let's rewrite the system in its augmented matrix form
Let´s apply row reduction process to its associated augmented matrix:
Swap R1 and R3
R3-4R1
R3+R2
Now we have a simplified system:
x+y+0=0
0+4y+λ=0
0+0+2λ=-32
Solving for λ, x, and y
λ=-16
x=4
y=4
The handshake is an illustration of combination, and the values of n and r are 21 and 2, respectively
<h3>How to determine the values of n and r?</h3>
The number of students in the class is 21.
This represents the value of n
i.e. n = 21
Each student shakes hand with another student (i.e. 2 students per handshake)
This represents the value of r
i.e. r = 2
Hence, the values of n and r are 21 and 2, respectively
Read more about combination at:
brainly.com/question/11732255
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