The first gardener can finish the job in 6 hours, and the second gardener can do the same job in 7 hours. How long it will take
2 answers:
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Answer:
A, B, and C
Step-by-step explanation:
A) We can see if this is a horizontal line if its slope is 0. Slope is change in y divided by change in x, so: slope = . Thus, this is a horizontal line and the statement is correct.
B) Any equation of the form x = k, where k is a constant, will always be a straight line. Let's see if it goes through (-8, 3) by plugging in the values of -8 in for x and 3 in for y in the equation.
Clearly, we don't have a y, so we just put in the -8 for the x: -8 = -8. Since this is a true statement, we know that x = -8 does go through (-8, 3). So, this is a true statement.
C) We can see if this is a vertical line if its slope is undefined (for example, if the denominator is 0, it's undefined). Slope = = undefined. So, this is a vertical line and the statement is true.
D) As a basic fact, any point on a horizontal line will have the same y coordinate. However, their x coordinates may vary. Thus, the statement is false.
So, the answers are A, B, and C.
Hope this helps!
Answer:
The 90% confidence interval is (0.1897, 0.2285).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence interval
, we have the following confidence interval of proportions.
In which
Z is the zscore that has a pvalue of
For this problem, we have that:
From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-cigarette) in the past week. This means that
Construct a 90% confidence interval to estimate the population proportion of Americans age 18-29 who vaped in the past week.
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 90% confidence interval is (0.1897, 0.2285).