Correct option is A) [-13/4, 9/4] .
<u>Step-by-step explanation:</u>
Here we have following equation as |2 + 4x| = 11 or , . We need to solve for the value of x .Let's find out:
We know that Modulus Function is both positive & negative for particular values of x , i.e.
|2 + 4x| is positive :
⇒
⇒
⇒
⇒
|2 + 4x| is negative :
⇒
⇒
⇒
⇒
Therefore , Correct option is A) [-13/4, 9/4] .
Answer:
d=1
Step-by-step explanation:
Lets factor the denominator d^2 -2d-8
d^2 - 2d - 8 = (d-4)(d+2)
Now make the denominators same
LCD: (d-4)(d+2)
Denominators are same on both sides
So equate the numerators
-3d +3(d+2) = -2(d-4)
-3d +3d +6 = -2d +8
6 = -2d + 8
subtract 8 on both sides
-2 = -2d
So d=1
Answer:
C.I. = (2.297, 11.703)
Step-by-step explanation:
The t-statistic for difference of mean is given by,
Here, = 84
= 7
s₁ = 4
n₁ = 12
s₂ = 6
n₂ = 18
Substituting all value in formula,
We get, t = -3.541 at 28 degree of freedom.
Using this formula, we get, t = 1.5342
Therefore, based on the data provided, the 99% confidence interval for the difference between the population means is: 2.297 <
< 11.703
which indicates that we are 99% confident that the true difference between population means is contained by the interval (2.297, 11.703)