Answer:
54 inches
Step-by-step explanation:
first you're going to want to put four and a half feet into a decimal (4.5) and multiply it by how many inches are in 1 ft ( 12). after that you're going to want to count how many decimal paces there are (2) and move your decimal at the end of 5400 to 54.00. The extra 0s are not needed.
Answer:
340
Step-by-step explanation:
As it was increased by 25%, $425 is 125% of the original price, so we can get back to 100% by dividing 425 by 5 [85], so 85 is 25% of the price. We can now get the original price by subtracting 85 from 425 (or you could multiply 85 by 4) which is 340
You can check this answer by multiplying 340 by 1.25
If the answer is 425, then it is correct, else, not. [it is]
Answer:
The sample required is 
Step-by-step explanation:
From the question we are told that
The standard deviation is 
The margin of error is 
Given that the confidence level is 99% then the level of significance is mathematically evaluated as
Next we will obtain the critical value 
from the normal distribution table(reference math dot armstrong dot edu) , the value is
The sample size is mathematically represented as
![n = [ \frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ]^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%20%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%5E2)
substituting values
![n = [ \frac{ 2.58 * 9 }{2} ]^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%20%5Cfrac%7B%202.58%20%2A%20%209%20%7D%7B2%7D%20%5D%5E2)
Vertex coordinates: (h, k)
Vertex form: y = a(x-h)^2 + k
y = 2(x+3) + 2(x+4)
Use distributive property:
y = 2((x+3)+(x+4))
Simplify:
y = 2(2x+7)
y = 4x+14
This is slope - intercept form, not vertex form. Vertex form is for quadratic equations - this is a linear equation.
Answer (in slope - intercept form):
y = 4x+14
