The confidence interval is from 0.2191 to 0.2649, given by
.
The z-score we need is found by first subtracting the confidence level from 1:
1 - 0.95 = 0.05
Divide that by 2:
0.05/2 = 0.025
Subtract that from 1:
1 - 0.025 = 0.975
Look this up in the middle of a z-table (http://www.z-table.com) and we see that the z-score is 1.96.
Now our confidence interval is given by
Answer: 9
Step-by-step explanation:
There are 8 equal sections which are meant to reflect the data Jasmine collected from surveying the students.
This means that each section represents;
= 36/8
= 4.5 students.
There are 2 sections that represent the number of students who said they would be traveling during the holiday break.
= 4.5 * 2
= 9 students
Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5
That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n
The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.
Note: The variable n can be any integer.
I think this is find the LCM, so the answer would be 168
Answer: w= -4
Step-by-step explanation:
7w-180=52w
Subtract 7w on both sides.
-180=45w
Divide both sides by 45.
-4=w
