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1 answer:
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Answer: a) 0.84 b) 0.67 c) 1.28
Step-by-step explanation:
Using the standard normal distribution table for z-value , we have
(a) The value of would result in a 80% one-sided confidence interval :
(b) The value of would result in a 85% one-sided confidence interval :
(c) The value of would result in a 90% one-sided confidence interval :
You have a system of equations 
.
1. Substitude right side of second equation into the left side of the first equation:
.
2. Solve this equation:
.
3. Find y:
for
,
for
.
4. The solutions of the system are: (3,-12) and (5,-24).
Answer: Correct choice is A.
1. Substitude right side of second equation into the left side of the first equation:
2. Solve this equation:
3. Find y:
for
for
4. The solutions of the system are: (3,-12) and (5,-24).
Answer: Correct choice is A.
Answer:
The product of the slopes of lines is -1.
i.e. m₁ × m₂ = -1
Thus, the lines are perpendicular.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given the lines
y = 2/3 x -3 --- Line 1
y = -3/2x +2 --- Line 2
<u>The slope of line 1</u>
y = 2/3 x -3 --- Line 1
By comparing with the slope-intercept form of the line equation
The slope of line 1 is: m₁ = 2/3
<u>The slope of line 2</u>
y = -3/2x +2 --- Line 2
By comparing with the slope-intercept y = mx+b form of the line equation
The slope of line 2 is: m₂ = -3/2
We know that when two lines are perpendicular, the product of their slopes is -1.
Let us check the product of two slopes m₁ and m₂
m₁ × m₂ = (2/3)(-3/2 )
m₁ × m₂ = -1
Thus, the product of the slopes of lines is -1.
i.e. m₁ × m₂ = -1
Thus, the lines are perpendicular.