Since the absolute value of any number is always positive, the absolute value of -2 2/3 is 2 2/3.
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Answer:
d. We are 95% confident that the proportion of adults (ages 17-26) who attended college is between 53% and 59%.
Step-by-step explanation:
Confidence interval of a proportion p.
We build a confidence interval at the x% level from a sample.
With this, we can say that we are x% sure that the true population propotion is in the interval.
The 95% confidence interval is (0.53, 0.59).
This means that we are 95% sure that the true population proportion is between 0.53 and 0.59.
So the correct answer is:
d. We are 95% confident that the proportion of adults (ages 17-26) who attended college is between 53% and 59%.
SOLUTION
We are told to translate; (x, y) to (x -8, y). This means we have to add - 8 to each value of x in P(-5,1), Q(-4,6), and R(-2,3).
In P(-5,1), x = -5 and y = 1
In Q(-4,6), x = -4 and y = 6 and
In R(-2,3), x = -2 and y = 3
For the dilation centered at the origin k =2, simply multiply the value of k, which is 2 into the translations.
The solution of the given equation 4(3x - 4) - 7( 2x + 3) = 3 is -20.
<h3>What is a linear equation?</h3>
A linear equation is an equation that has the variable of the highest power of 1.
The standard form of a linear equation is of the form Ax + B = 0.
The given equation is;
4(3x - 4) - 7( 2x + 3) = 3
To solve;
4(3x - 4) - 7( 2x + 3) = 3
Solve the parentheses using the distributive property;
12x - 16 - 14x - 21 = 3
we need to get the like terms together;
12x - 14x -16 - 21 = 3
-2x - 37 = 3
Add 37 both sides, we get;
-2x = 40
Divide both sides by -2
x = -20
Hence, the solution of the given equation is -20.
Learn more about linear equations;
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Answer:As Joanne friend I'll say to Joanne (to convince her that she should not give up)that I'll lend her money or we can borrow money from the bank.
