Answer:
3x + 2 - 3x + 7 + 5x = 5x + 9
Step-by-step explanation:
The coefficient is 5.
I myself am having a difficult time figuring out how many separate equations that are to be compared
Answer:
The mean and standard deviation for the z-scores in this distribution are 0 and 1 respectively.
Step-by-step explanation:
Let the random variable <em>X</em> follow a Normal distribution with mean <em>μ </em>and standard deviation <em>σ.</em>
The <em>z</em>-scores are standardized form of the raw scores <em>X</em>. It is computed by subtracting the mean (<em>μ</em>) from the raw score <em>x</em> and dividing the result by the standard deviation (<em>σ</em>).

These <em>z</em>-scores also follow a normal distribution.
The mean is:
![E(z)=E[\frac{x-\mu}{\sigma} ]=\frac{1}{\sigma}\times [E(x)-\mu] =\frac{1}{\sigma}\times [\mu-\mu]=0](https://tex.z-dn.net/?f=E%28z%29%3DE%5B%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%20%5D%3D%5Cfrac%7B1%7D%7B%5Csigma%7D%5Ctimes%20%5BE%28x%29-%5Cmu%5D%20%3D%5Cfrac%7B1%7D%7B%5Csigma%7D%5Ctimes%20%5B%5Cmu-%5Cmu%5D%3D0)
The standard deviation is:
![Var(z)=Var[\frac{x-\mu}{\sigma} ]=\frac{1}{\sigma^{2}}\times [Var(x)-Var(\mu)] =\frac{\sigma^{2}-0}{\sigma^{2}}=1\\SD(z)=\sqrt{Var(z)}=1](https://tex.z-dn.net/?f=Var%28z%29%3DVar%5B%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%20%5D%3D%5Cfrac%7B1%7D%7B%5Csigma%5E%7B2%7D%7D%5Ctimes%20%5BVar%28x%29-Var%28%5Cmu%29%5D%20%3D%5Cfrac%7B%5Csigma%5E%7B2%7D-0%7D%7B%5Csigma%5E%7B2%7D%7D%3D1%5C%5CSD%28z%29%3D%5Csqrt%7BVar%28z%29%7D%3D1)
Thus, the mean and standard deviation for the z-scores in this distribution are 0 and 1 respectively.
Joe has 82 yards of cotton. His friend has 104 more
104 + 82 = 186
186 yards is how much cotton yarn his friend has
hope this helps
PEMDAS
4+3(4-2)^2 - 3(3-2)^3
4+3(2)^2 - 3(1)^3
4+3(4) - 3(1)
4+12-3
16-3
13
The answer is 13