Answer:
x/2y
Step-by-step explanation:
quotient-division
Answer:
(- 2, 15 ) and (2, 7 )
Step-by-step explanation:
Given the 2 equations
y = 3x² - 2x - 1 → (1)
2x + y = 11 → (2) ← subtract 2x from both sides
y = 11 - 2x → (3)
Substitute y = 3x² - 2x - 1 into (3)
3x² - 2x - 1 = 11 - 2x ( subtract 11 - 2x from both sides )
3x² - 12 = 0 ( add 12 to both sides )
3x² = 12 ( divide both sides by 3 )
x² = 4 ( take the square root of both sides )
x = ± = ± 2
Substitute these values into (3) for corresponding values of y
x = - 2 : y = 11 - 2(- 2) = 11 + 4 = 15 ⇒ (- 2, 15 )
x = 2 : y = 11 - 2(2) = 11 - 4 = 7 ⇒ (2, 7 )
Answer:
x=(8/3, infinity)
Step-by-step explanation:
-3x+8<15-3x+8
-3x+8<-3x+23
8<23
15-3x+8<15
23-3x<15
-3x<-8
x>8/3
Therefore, x=(8/3, infinity)
Answer:
i dont really know maybe you should go back and look at the lesson :P
Step-by-step explanation:
look up|:
Answer:
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1000 - 1.96 = 998.04 mm
The upper end of the interval is the sample mean added to M. So it is 1000 + 1.96 = 1001.96 mm