Answer:
[50, 410]
Step-by-step explanation:
If the plumber works 0 hours, he still charges $50, so that is the minimum of the range of charges.
If the plumber works 8 hours, his hourly charge of 8×$45 = $360 is added to his fixed charge of $50 for a total of $410. That is the maximum of the range of daily charges.
The range of the function is $50 to $410.
Answer and Step-by-step explanation:
To calculate a confidence interval for a proportion:
1) Determine the proportion

p = 0.616
2) A 90% confidence interval has z-score that is 1.645.
3) Calculate margin of error

where
n is the sample size
So


ME = 0.02175
Then the interval is given by
p ± z(ME)
0.62 ± 1.645(0.02175)
0.62 ± 0.035
The interval will be
0.585 < p < 0.655
What this means is that we are 90% confident that the true proportion of Katy Perry's Twitter female followers is between 0.585 and 0.655.
Answer:
You are given two points, (0,6) and (3,-3), so use the two-point formula for the equation of a line:
y - y1 = ( (y2 - y1) / (x2 - x1) ) (x - x1)
y - 6 = ( -9 / 3 ) (x - 0)
y - 6 = -3x
y = -3x + 6 This is: y = mx+b
Step-by-step explanation:
hope this will help you..
Answer:
(7,-11)
Step-by-step explanation:
x'=x-3
or x=x'+3=4+3=7
y'=y+6
y=y'-6
or y=-5-6=-11
so original point was (7,-11)
Answer:
81.23 ft and 77.88 ft long
Step-by-step explanation:
The sum of the internal angles of a triangle is 180 degrees, the missing angle is:

According to the Law of Sines:

Let A be the side that is 147 feet long, the length of the other two sides are:

The other two sides are 81.23 ft and 77.88 ft long