<span>[ (1 / 36) - (1 / x²) ] / [ (1 / 6) + (1 / x) ]
[ (x² - 36) / 36x² ] / [ (x + 6) / 6x ]
</span>remember that<span>:
x² - 36 = (x + 6)(x - 6)
so
[ (x+6)(x-6) / 36x² ] / [ (x + 6) / 6x ]
[ (x+6)(x-6) / 36x² ] * [ 6x / (x + 6) ]
6x / 36x² = 1 / 6x
[ (x+6)(x-6) / 6x ] * [ 1 / (x+6) ] -------------------- > </span>(x - 6) / 6x<span>
The answer is </span>(x - 6) / 6x<span>
</span>
Answer:
a. x = 40 wpm
b. MOE = 4.4 wpm.
c. If you were to create many more confidence intervals from many different random samples, you would expect 95% all of the confidence intervals to have centers and widths that include the true mean.
d. About 5% of the confidence intervals would not capture the parameter (true mean) you are trying to estimate.
Step-by-step explanation:
We have a 95% confidence interval for the mean with bounds 35.6 and 44.4.
This is estimated from a sample that, in this case, has a sample size of n=54.
The value of x, used to construct the interval, will be at the center of the interval. Then we can calculate the value of x as the average between the two bounds:
The margin of error is equal to the difference between x and any of the bounds:
c. If you were to create many more confidence intervals from many different random samples, you would expect 95% all of the confidence intervals to have centers and widths that include the true mean.
d. About 5% of the confidence intervals would not capture the parameter (true mean) you are trying to estimate.
6(x-1)+5
Distribute your 6 to the x and the -1
6x-6+5
Combine -6 and 5 to get -1
6x-1 will be your answer
HOPE THIS HELPS YOU! ^_^
Answer:
I cant see picture
Step-by-step explanation:
I’m the first equation solve for y
5x-y=-5
Subtract 5x from both sides
-y = -5-5x
Multiply both sides by -1
Y = 5+5x
Now plug this in for y in the other equation
3x-6(5+5x) =24
Distribute
3x-30-30x=24
Simplify
-27x-30 = 24
Add 30
-27x = 54
Divide
X = -2
Now plug this in the first equation
Y = 5+5(-2)
Y = 5 -10
Y = -5
So X = -2, Y = -5