Hello there!
To find the slope of a line, we need to know at least two points contained in the graph of the line.
The slope of a line passing through the points and is given by the formula: .
As we can see on the graph, two points contained on the line are and .
Using the formula above, we get that:
Subtract the values on both numerator and denominator of the fraction
This is the slope of this line we were looking for and is the answer contained on the 4th option.
Answer:
-34z + 370
Step-by-step explanation:
322 - 24z + 48
(322 + 48) - 34z
370 - 34z
Best of Luck!
Answer:
The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
In a random sample of 500 employees, 15 reported owning an electric car.
This means that
99% confidence level
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 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).
Answer:
A. -3√7/7
Step-by-step explanation:
We have the equation in trigonometry as following:
with (cos x)^2 different from 0, we have:
=>
As (cos θ) = √7/4 ≠ 0, so that we can replace θ into the above equation, we could have:
(tan θ)^2 = 1/[(cos θ)^2] -1
=> (tan θ)^2 =
=>(tan θ)^2 = 16/7 - 7/7 = 9/7
<em>=> tan θ = (3√7)/7 </em>
<em>or tan θ = - (3√7)/7 </em>
<em />
As θ is in quadrant IV, so that its tangent has negative value
=> tan θ = -3√7/7
So that the correct answer is A
Answer:
104x0.23
Step-by-step explanation:
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