Answer:
B. A random sample of 2,800 U.S. adults under 35.
Step-by-step explanation:
To have an unbiased and accurate sample, the sample should be representative of the population about which we are inferring.
Also, the bigger the sample size, the less margin of error we will have in the inference.
As the population in this survey is about the US adults under 35, the sample should be selected from this group.
From the options that select from this population, the largest sample is 2,800.
So the answer is Option B.
To find the slope of the perpendicular line, you can take the negative reciprocal of the slope of the line it is perpendicular to.
Taking the negative reciprocal of -1/5 gives 5.
Now we have y=5x+b, where b is the y-intercept. Since we know that the perpendicular line passes through the point (1,4), we can substitute those values into the equation we have to find b.
y=5x+b
4=5(1)+b
4=5+b
b=-1
Therefore, the equation of the perpendicular line is y=5x-1.
Answer: 1102 minutes
Explanation: Let x be the number of minutes Jim used 105.60 = 75 + 0.30 ( x − 1000 ) ⇒ 105.60 = 75 + 0.30 x − 300 ⇒ 105.60 = 0.30 x − 225
Answer:
We start with the equation:
A: 3*(x + 2) = 18
And we want to construct equation B:
B: X + 2 = 18
where I suppose that X is different than x.
Because in both equations the right side is the same thing, then the left side also should be the same thing, this means that:
3*(x + 2) = X + 2
Now we can isolate the variable x.
(x + 2) = (X + 2)/3
x = (X + 2)/3 - 2
Then we need to replace x by (X + 2)/3 - 2 in equation A, and we will get equation B.
Let's do it:
A: 3*(x + 2) = 18
Now we can replace x by = (X + 2)/3 - 2
3*( (X + 2)/3 - 2 + 2) = 18
3*( (X + 2)/3 ) = 18
3*(X + 2)/3 = 18
(X + 2) = 18
Which is equation B.
Answer:
x = 4
Step-by-step explanation:
4(5x - 2) = 72
Do the distributive property
20x - 8 = 72
Then add 8 to both sides to get 20x alone
20x - 8 = 72
+ 8 + 8
20x = 80
Then divide both sides by 20 to get x
x = 4
