Answer:
x=8
Step-by-step explanation:
−2x−40=8(1−x)
Step 1: Simplify both sides of the equation.
−2x−40=8(1−x)
−2x+−40=(8)(1)+(8)(−x)(Distribute)
−2x+−40=8+−8x
−2x−40=−8x+8
Step 2: Add 8x to both sides.
−2x−40+8x=−8x+8+8x
6x−40=8
Step 3: Add 40 to both sides.
6x−40+40=8+40
6x=48
Step 4: Divide both sides by 6.
![\frac{6x}{6} =\frac{48}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B6x%7D%7B6%7D%20%3D%5Cfrac%7B48%7D%7B6%7D)
to get the answer
x=8
Answer:
negative four is going to be on the opposite side of the positive four because it is negative\ge and positive and negatives are different
Step-by-step explanation:
Answer:
24.6 < μ < 27.2
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:
![\alpha = \frac{1-0.95}{2} = 0.025](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1-0.95%7D%7B2%7D%20%3D%200.025)
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 ![z = 1.96](https://tex.z-dn.net/?f=z%20%3D%201.96)
Now, find the margin of error M as such
![M = z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which
is the standard deviation of the population and n is the size of the sample.
![M = 1.96\frac{3.8}{\sqrt{34}} = 1.3](https://tex.z-dn.net/?f=M%20%3D%201.96%5Cfrac%7B3.8%7D%7B%5Csqrt%7B34%7D%7D%20%3D%201.3)
The lower end of the interval is the sample mean subtracted by M. So it is 25.9 - 1.3 = 24.6 pounds.
The upper end of the interval is the sample mean added to M. So it is 25.9 + 1.3 = 27.2 pounds.
So the correct answer is:
24.6 < μ < 27.2
The multiplicative inverse of -1/3 is -3.