Answer:
ggggggg
Step-by-step explanation:
Since we do not know the population standard deviation, we will use the t-distribution to construct the 90% confidence interval of the mean number of books people read. The value of

with 1010 degrees of freedom and with alpha equals to 0.10 is 1.64
First, we need to solve for the margin of error, E.

The lower bound of the confidence interval is

The upper bound of the confidence interval is

Therefore, the 90% confidence interval is
(13.94, 15.66).
We are 90% confident that the interval from 13.94 books to 15.66 books does contain the true value of the population mean number of books people read.
Answer:
csc θ =
/6
sec θ =
/7
tan θ = 6/7
Step-by-step explanation:
The first thing to do will be to compute the length of the hypotenuse using the Pythagoras theorem;
6^2 +7^2 = hypotenuse^2
hypotenuse = 
csc θ = 1/sinθ
sinθ = opposite side/hypotenuse
= 6/
csc θ =
/6
sec θ = 1/cosθ
cosθ = adjacent side/hypotenuse
sec θ = hypotenuse/adjacent side
=
/7
tan θ = Opposite side/adjacent side
= 6/7
Prime numbers are numbers that can be divided without a remainder. So 2181 is divisible by 3 and 727 and there is no remainder.
Get the x variable on one side and the numbers another side.
9/10(x + 2/3) = 4 1/2
Distribute the 9/10 across the x and 2/3.
(9/10)x + 18/30 = 4 1/2
Simplify 18/30 to make our life easier.
(9/10)x + 3/5 = 4 1/2
Subtract 3/5 from each side of the equation.
(9/10)x = 3 9/10
Divide both sides by 9/10.
x = 4 1/3