Answer:
75% of the data will reside in the range 23000 to 28400.
Step-by-step explanation :
To find the range of values :
We need to find the values that deviate from the mean. Since we want at least 75% of the data to reside between the range therefore we have,
Solving this, we would get k = 2 which shows the value one needs to find lies outside the range.
Range is given by : mean +/- (z score) × (value of a standard deviation)
⇒ Range : 25700 +/- 2 × 1350
⇒ Range : (25700 - 2700) to (25700 + 2700)
Hence, 75% of the data will reside in the range 23000 to 28400.
48 because that's what you get following your equation in PEMDAS order :)
Question 3)
Given
The point (1, -5)
The slope m = -5/6
Using the point-slope form of the equation of a line

where
- m is the slope of the line
In our case:
substituting the values m = -5/6 and the point (1, -5) in the point-slope form of the equation of the line



Thus, the point-slope form of the equation of the line is:

Question 4)
Given
The point (-1, 5)
The slope m = -7/2
In our case:
substituting the values m = -7/2 and the point (-1, 5) in the point-slope form of the equation of the line



Thus, the point-slope form of the equation of the line is:

Answer:
Step-by-step explanation:
diagram attached represents a function g(x).
Circle (1) (circle on the left) represents the set of domain (input values) and circle (2) represents the range (output values).
a). For input value x = 7, out put value of the function is y = 9.
Therefore, g(7) = 9 will be the answer.
b). Range of the function g(x) is the set of output values.
Range: {12, 9, 9, 17}
c). Inverse of the function g(x) will have,
Domain: {12, 9, 9, 17}
Range: {4, 7, 10, 15}
For input value of x = 9, there are two output values y = 7, 10.
Since, "a function can't have two output values for the same input value".
Therefore, inverse of the function g(x) will not represent a function.
Answer:
105
Step-by-step explanation:
17.5÷2.5=7
7x15=105