Answer: 52.5cm²
Step-by-step explanation:
Firs, you have to split this composite shape into two separate shapes; a rectangle and triangle.
To work out the area of the rectangle you would have to do 8x5=40.
To work out the area you would have to find out the height of it first. So, to do this you would have to do 1+2=3 then do 8-3=5. Now we know the height is 5.
Then you have to use the formula base times height divided by 2 (b×h/2). So 5×5=25 then 25÷2=12.5
To then find the total area of this composite shape you would have to add the two areas together. So 40+12.5=52.5cm²
Hope this helps :)
when you find x-intercept, you are finding the coordinate when y=0, hence sub y=0,
-8x-16=0
8x=-16
x=-2
Answer:
The margin of error for a confidence interval for the population mean with a 90% confidence level is 0.53 hours.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
In this quesstion:
So
The margin of error for a confidence interval for the population mean with a 90% confidence level is 0.53 hours.
Answer:
a
Step-by-step explanation:
The graph is upside down, but it will go past all x-values
(f+g-k)(x) means to add the equations f(x) and g(x) then subtract k(x)
2x^2 + 3x + 4x - 9 = 2x^2 +7x -9
2x^2 + 7x - 9 - x^2 -7x = x^2 -9
The answer is : x^2 - 9
