Answer:
x = z - m
Step-by-step explanation:
<u>Solving for x with steps:</u>
- z=m+x
- x + m = z
- x + m - m = z - m
- x = z - m
Answer:
The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)
Step-by-step explanation:
Given that:
Mean = μ = 150
SD = σ = 12
Let x1 be the first data point and x2 the second data point
We have to find the z-scores for both data points
x1 = 135
x2 = 167
So,

And

We have to find area to the left of both points then their difference to find the probability.
So,
Area to the left of z1 = 0.1056
Area to the left of z2 = 0.9207
Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151
Hence,
The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)
Answer:
x=-22/4
y=-3
Step-by-step explanation:
3x-2y=-5
4x+2y=-16
we <u>add</u> the equation
7y=-21
y=-3
then we find the x by taking a random equation
I take 4x+2y=-16
4x+2(-3)=-16
4x-6=-16
4x=-22
x=-22/4
Answer:

Step-by-step explanation:
<u>Properties of Logarithms</u>
We'll recall below the basic properties of logarithms:

Logarithm of the base:

Product rule:

Division rule:

Power rule:

Change of base:

Simplifying logarithms often requires the application of one or more of the above properties.
Simplify

Factoring
.

Applying the power rule:

Since


Applying the power rule:

Applying the logarithm of the base:
