Answer:
The point estimate used was of $69,821.
The error bound is of $101.
Step-by-step explanation:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The error bound is half the difference between these two values.
In this question:
90% confidence that the mean household income in the U.S. falls between $69,720 and $69,922.
Point estimate:
(69720+69922)/2 = 69821
The point estimate used was of $69,821.
Error bound:
(69922 - 69720)/2 = 101
The error bound is of $101.
Answer:
1, 3, 4, and 10
Step-by-step explanation:
To get a y value, substitute the x value into the equation they gave you (y = 3x - 5). For the x value 2:
y = 3(2) - 5
y = 6 - 5
y = 1.
To get a missing x value, solve for x in the equation they gave you. You were given the y value, so you can substitute that into the equation.
(4) = 3x - 5
Add 5 to both sides
9 = 3x
Divide both sides by 3
3 = x
Do the same with 7
(7) = 3x - 5
Add 5
12 = 3x
Divide by 3
4 = x
For the last one, you're given x so substitute it into the equation:
y = 3(5) - 5
y = 15 - 5
y = 10
The distance is 3, because 7 - 4 = 3.
Answer:
3/8
Step-by-step explanation:
With unlike denominators find the Least Common Denominator (LCD)
LCD = 8
Multiplying numerators and denominators to get the LCD in all fraction denominators
=3/4 times 2/2−3/8
Then rewriting the equation with the equivalent fractions
=6/8−3/8
With like denominators we can operate on just the numerators
=6−3/8
=3/8
Answer:
4.95
Step-by-step explanation:
