Answer:
Electrician's fee: $50.
Charges per hour: $35
Step-by-step explanation:
Let x represent number of hours and y represent amount charged.
We have been given that an electrician charges $120 after 2 hours of work and $190 after 4 hours of work.
We can represent this information with two points as (2,120) and (4,190).
First of all, we will find slope using these points.
Now, we will slope-intercept form of equation to get our required equation as:
Substitute coordinates of point (2,120) to find the y-intercept.
Therefore, our required function would be .
The electrician's fee would be $50 as it the initial amount or y-intercept.
The electrician charges $35 per hour as the slope of the line is 35.
Answer:
the answer is d
Step-by-step explanation:
Please, use " ^ " to indicate exponentiation: y+x^2, y=x^2 - 3.
Subtracting 3 from y = x^2 causes the entire graph of x^2 to be translated downward 3 units.
The confidence interval is
.
This means that if we take repeated samples, 99% of the intervals would contain the population proportion.
To construct this interval, we use
,
where
Since 590/1016 said they had a cat and a dog, p=0.581 and N=1016:
We need the z-score associated with this confidence level:
Convert 99% to a decimal: 99/100 = 0.99
Subtract from 1: 1-0.95 = 0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995
Using a z-table, we see that this value is equally distant from z=2.57 and z=2.58, so we will use z=2.575: