Answer:
k = 27/5
Step-by-step explanation:
Divide 5 on bot sides
5k/5 = 27/5
k= 27/5
so, k = 27/5 OR 5.4
Answer: c/2-4
Step-by-step explanation:
This is what I get :
1/2(c-8)
Distributed property
1/2(c) + 1/2(-8)
Do c and -8 as a fraction with denominator 1 solve across
1/2×c/1+1/2×-8/1
Here you can only divide -8by 2
C/2-8/2
To get -4
C/2-4
You can't go further
Answer:

General Formulas and Concepts:
<u>Calculus</u>
The derivative of a constant is equal to 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Product Rule: ![\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bf%28x%29g%28x%29%5D%3Df%27%28x%29g%28x%29%20%2B%20g%27%28x%29f%28x%29)
Chain Rule: ![\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>

<u>Step 2: Rewrite</u>

<u>Step 3: Differentiate</u>
- Product Rule [Basic Power/Chain Rule]:

- Simplify:

- Rewrite:

- Add:

Answer:
a. no, there are no sufficient data to use
b. assumption b is right
Step-by-step explanation:
a. for the standard deviation to be calculated at 99% confidence, the data needed should be the mean (given), the variate value to be calculated for(not given), the standard deviation(not given), the z value of the normal distribution ( not given),
since there are too many unknown, the data given are not sufficient to calculate.
b. validity of this interval requires that coating layer thickness be at least approximately normally distributed.