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.
The LCM of 9 and 12 is 36.
I hope this helps, and have a good night and life! :D
Triangles are congruent
Step-by-step explanation:
Law of Side, Side, Angle
Thier base are same (PR).
Thier 1 side is equal to 2 inch (PS = RQ).
Thier 1 angle is equal (/_ PRQ = /_ RPS)
So, Its prove that both triangles are congruent.
Answer:
The ratio of used stamps and total stamps can be represented by three fifths.
Step-by-step explanation:
It is give that Jamal has 4 new stamps and 6 used stamps.
New stamps = 4
Used stamps = 6
Total stamps = New stamps + Used stamps = 4 + 6 = 10
We need to find the ratio that can be represented by three fifths
Therefore, the ratio of used stamps and total stamps can be represented by three fifths.
The equations that represent the salary that Chloe's receive under the different options are:
1) Option 1: $600
2) Option 2: $ 350 + 8% * x, where x is the sales.
Using the fact that 8% = 0.08
Option 2 = $350 + 0.08x
A) If she has $3200 weekly salary:
Option 1 gives $600 (it is a constant salary)
Option 2 gives: $350 + $ 0.08 (3200) = $350 + $256 = 606.
Then, she will earn more money with the option 2.
B) The equation that can be used to determine when she earns more is found by making the two options equal:
Optio 1 = Option 2 =>
600 = 350 + 0.08x
C) Option 1 wiil lead to a greater earn when 600 > 350 + 0.08x
=> 600 - 350 > 0.08x
=> 250 > 0.08x
=> (250 / 0.08) > x
=> 3,125 > x => x < 3,125
Then, the answer is that she will earn more money with option 1 when x < 3,125
