Answer:y = k x + 1
(1,3)
3 = k(1) + 1
2 = 1k
k = 2
Step-by-step explanation:
Answer:
b. The margin of error would decrease.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
In which z is related to the confidence level, 
is the standard deviation of the population and n is the size of the sample.
This means that the margin of error is inversely proportional to the size of the sample, which means that if the sample size increases, the margin of error decreases.
In this question, the sample size is increased, leading to a smaller margin of error. So the correct answer is given by option b.
Answer:
3.7
Step-by-step explanation:
To change a fraction to a decimal, just divide the numerator with the denominator. Instead of placing the remainder over the divisor, continue to solve until it is answered (unless it's a repeating decimal.)
Divide 7 with 10:
7/10 = 0.7
Remember that there is a whole number, 3. Add that to the decimal you have gotten:
3 + 0.7 = 3.7
3.7 is your answer.
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Rewriting the equation as a quadratic equation equal to zero:
x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
x - 6 = 0 => x = 6
Therefore, our solutions are x = -5 and x = 6.
<h3><u>The value of x is equal to 1.</u></h3><h3><u>6(x + 2) = 20x - 2</u></h3>
<em><u>Distributive property.</u></em>
6x + 12 = 20x - 2
<em><u>Add 2 to both sides.</u></em>
6x + 14 = 20x
<em><u>Subtract 16x from both sides.</u></em>
14 = 14x
<em><u>Divide both sides by x.</u></em>
x = 1
