Hello from MrBillDoesMath!
Answer: x = 4, slope intercept form is y = 2x + 11
Discussion:
A vertical line goes straight up and down. The only thing "fixed" about it is its x value. Hence a vertical line has an equation like "x = ?". As your line passes through (4, -3), with x value 4. its equation is x = 4.
The slope intercept form of a line is " y = mx + b" where m is the slope of the line and b is its y intercept. We are told the desired line is parallel to y = 2x -1 which means both lines have the same slope (which is 2, boldfaced, above). So, we know the slope intercept form is
y = 2x + b
but we are also told the line passes through (-3,5). Substituting these values in the above equation gives
y = 2x + b
5 = 2 (-3) + b
5 = -6 + b
b = 5 + 6 = 11
The final slope intercept form is y = 2x + 11
Regards, MrB
Answer:
Option D) Reject the claim that the proportion of Americans that have seen a UFO is equal to 5 in a thousand when that proportion is actually 5 in a thousand.
Step-by-step explanation:
We are given the following information:
A hypothesis test to support the given claim that the proportion of Americans that have seen a UFO is less than 5 in a thousand.
Type I error:
- Type I error is the rejection of a true null hypothesis that is we reject the null hypothesis given it is true.
- It is also known as a false positive.
First, we design the null and the alternate hypothesis

Thus, for the given hypothesis test, we describe type I error as:
Option D) Reject the claim that the proportion of Americans that have seen a UFO is equal to 5 in a thousand when that proportion is actually 5 in a thousand.
Answer: 0.2
Step-by-step explanation: