Answer:
-9
Step-by-step explanation:
-3(2) + (-3)
-6 + (-3)
-9
A "derivative" is a rate of change.
The derivative of a plain old number is zero, since numbers never change.
Pi is a number. Its value never changes. Its derivative is zero.
Answer: AC= 85 BC= 68 and AB=65 The sides of the triangle are all of different lengths which means that ABC is a scalene triangle.
Step-by-step explanation: A scalene triangle only has different lengths! :)
That’s right cuz there’s 2 cubes in height and if one cube is 4ft then 2 would be 8ft
Answer:
0.15866.
Step-by-step explanation:
We have been given that on average, electricians earn approximately μ= $54,000 per year in the united states. Assume that the distribution for electricians' yearly earnings is normally distributed and that the standard deviation is σ= $12,000. We are asked to find the probability that the sample mean is greater than $66,000.
First of all, we will find the z-score corresponding to 66,000 using z-score formula.
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
![z=\frac{66000-54000}{12000}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B66000-54000%7D%7B12000%7D)
![z=\frac{12000}{12000}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B12000%7D%7B12000%7D)
![z=1](https://tex.z-dn.net/?f=z%3D1)
Now, we need to find the probability that z-score is greater than 1 that is
.
Upon using formula
, we will get:
![P(z>1)=1-P(z](https://tex.z-dn.net/?f=P%28z%3E1%29%3D1-P%28z%3C1%29)
Upon using normal distribution table, we will get:
![P(z>1)=1-0.84134](https://tex.z-dn.net/?f=P%28z%3E1%29%3D1-0.84134)
![P(z>1)=0.15866](https://tex.z-dn.net/?f=P%28z%3E1%29%3D0.15866)
Therefore, the probability that the sample mean is greater than $66,000 would be 0.15866 or approximately
.