Answer: F. Statistic, because the data set of salaries of 50 employees is a sample.
Step-by-step explanation:
A parameter gives measure of a characteristic for the entire population where as a statistic gives measure of a characteristic for the subset of population (sample).
Given : The average annual salary of 50 of a company's 800 employees is $54,000.
It means the sample size = 50 and the sample mean salary= $54,000.
i.e $54,000 is giving the measure for mean salary for the sampled 50 employees.
It means $54,000 is a statistic .
Hence, the correct answer is option (F).
Answer:
13x - 8y
Step-by-step explanation:
Step 1: Write expression
(6x - y) + (7x - 7y)
Step 2: Combine like terms
13x - 8y
Answer:
![f(x) = -4x - 2](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20-4x%20-%202%20)
Step-by-step explanation:
To derive the function rule in slope-intercept form,
, we need to find the slope, m, and the y-intercept, b, of the graph given.
Using two points on the line, (-1, 2) and (0, -2), find slope (m) as shown below:
![m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 2}{0 -(-1)} = \frac{-4}{1} = -4](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%3D%20%5Cfrac%7B-2%20-%202%7D%7B0%20-%28-1%29%7D%20%3D%20%5Cfrac%7B-4%7D%7B1%7D%20%3D%20-4%20)
m = -4
The line intercepts the y-axis at y = -2, therefore the y-intercept, b, = -2.
Substitute m = -4, and b = -2 into
.
The function rule in slope-intercept form would be:
![f(x) = -4x +(-2)](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20-4x%20%2B%28-2%29%20)
![f(x) = -4x - 2](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20-4x%20-%202%20)
Answer:
y=−x+573, x+y=573
Step-by-step explanation:
Answer:
32.98 ft
Step-by-step explanation:
What you have right there is a triangle.
The base of the triangle is given (14 ft)
The angle from the ladder makes while leaning on the house is 67 degrees.
This is a simple trigonometry problem
You want to find the length of the ladder and you don't have the hypotenuse
So you can use the function tan to find it.
tan(Ф) = opposite/adjacent
You are looking for the opposite side length
So you do tan(Ф) * adjacent = opposite
tan(67) * 14 = 32.98 ft