Which two expressions are
1 answer:
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Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
(1)
Rearrange 3x + 2y = 1 into this form by subtracting 3x from both sides
2y = - 3x + 1 ( divide all terms by 2 )
y = - x +
← in slope- intercept form
with slope m = -
Parallel lines have equal slopes, thus
y = - x + c ← is the partial equation
To find c substitute (- 6, 15) into the partial equation
15 = 9 + c ⇒ c = 15 - 9 = 6
y = - x + 6 ← equation of line
(2)
Rearrange x + 2y = 8 into slope- intercept form by subtracting x from both sides
2y = - x + 8 ( divide all terms by 2 )
y = - x + 4 ← in slope- intercept form
with slope m = -
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 2, thus
y = 2x + c ← is the partial equation
To find c substitute (5, - 2) into the partial equation
- 2 = 10 + c ⇒ c = - 2 - 10 = - 12
y = 2x - 12 ← equation of line
Answer: The mean of the data is 433.75, variance of the data is 99667.19 and the standard deviation of the data is 315.7011.
Explanation:
The given data is 900, 35, 500 and 300.
The number of observation is 4.
Formula of mean is,
The formula of variance is given below,
The variance of the data is 99667.19
The standard deviation of the data is 315.7011.
The other information or values of given chart is shown in the attached table.
