Answer:
Step-by-step explanation:
Since the population standard deviation 
, is known, we use the z confidence interval for the mean.
This is given by:
For a 95% confidence interval we use 
.
It was also given that: 
, 
and 
Let us substitute the values to get:
<u>Interpretation:</u>
We can say with 95% confidence that the interval between 1463.3 and 1580.7 SAT scores contains the population mean based on the sample 125 SAT scores.
Two needed formulas,:
To find the area of a parallelogram, use
A = bh.
To find the area of a semicircle, use
Area = (πr^2)/2.
The area of the parallelogram is 11 x 32 or 352.
The two semicircle have the same measure.
The radius of the semicircle is (1/2)(16) or 8.
Area = (π8^2)/2
Area = 64π ÷ 2
A = 32π
There are two semicircle.
So, the area of both semicircle combined is
2(32π) or 64π.
Area of figure = 64π + 352.
Area of figure = 553.0619298304
We now round to the nearest tenths to get
Area of the figure = 553.06.
Step-by-step explanation:
f(x)=5x-3
g(x)=5x-4
f(g(x))
f(5x-4)=5(5x-4)-3
25x-20-3
=25x-23
I would appreciate if my answer is chosen as a brainliest answer
Answer:
n = 13.
Step-by-step explanation:
Slope of the line = (10-1)/3-0) = 3
So the equation of the line is:
y - 1 = 3(x - 0)
y = 3x + 1
When x = 4 y = n, so:
n = 3(4) + 1 = 13.
n = 13.
It is a composite number and it is written as 7*3*5*2
