Answer:
The sample size should be approximately 151.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 100
Population standard deviation, σ = 15
We have to evaluate the sample size, n.
Alpha, α = 0.10
Confidence interval:
Putting the values, we get,

Thus, the sample size should be approximately 151.
Answer:
y < 25x , or y = kx { where k < 25 } , or choosing a time saving worker {as fee is in terms of hours}
Step-by-step explanation:
Services cost : y = 25x , where y is the total fee and x is the number of hours worked.
If customer is looking to choose the less expensive cleaning service ; he / she has following options -
- Choosing fee structure where y < 25x
- Choosing y = k x , where k per hour fee is lesser
- Choosing time efficient worker, as fee is in regards hours utilised.
<span>4(3-2x)=22
4(3) - 4(2x) = 22
12 - 8x = 22
8x = 12 - 22
8x = -10
x = -10/8 = -5/4
or
x = -1.25</span>
Answer:
y =
(x - 5)² - 2
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (5, - 2), thus
y = a(x - 5)² - 2
To find a substitute (7, 0) into the equation
0 = a(7 - 5)² - 2
0 = 4a - 2 ( add 2 to both sides )
2 = 4a ( divide both sides by 4 )
a =
= 
y =
(x - 5)² - 2 ← in vertex form