What is the first quartile of this data set?<br>
10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38
seraphim [82]
Answer:
I believe it would be 12
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
We have been given a triangle. We are asked to find the measure of angle Z using Law of cosines.
Law of cosines: , where, a, b and c are sides opposite to angles A, B and C respectively.
Upon substituting our given values in law of cosines, we will get:
Now, we will use inverse cosine or arc-cos to solve for angle Z as:
Therefore, the measure of angle Z is approximately 51 degrees.
This is a systems of equations problem. To begin, we need to set up our equations.
If there was a total of 548 dollars collected, and adult tickets cost $6, and students tickets $4, this equation represents that situation.
6a + 4s = 548
The variable a stands for adult, and variable s for student. Now, if 12 more student tickets were sold than adults, this would represent that.
a + 12 = s
Now we can set it up as a systems of equations.
Because s = a + 12, we can plug that in into the other equation.
6a + 4(a + 12) = 548
Distribute 4.
6a + 4a + 48 = 548
Combine like terms.
10a + 48 = 548
Subtract 48 from both sides.
10a = 500
Divide both sides by 10.
a = 50
Plug a into the original equation.
50 + 12 = s
Combine like terms.
62 = s
<h3>There were 62 student tickets and 50 adult tickets sold.</h3>
Answer:
Step-by-step explanation:
roots are (2+3i) and (2-3i)
reqd. eq. is (x-2-3i)(x-2+3i)=0
or (x-2)²-(3i)²=0
or x²-4x+9-9i²=0
or x²-4x+9+9=0
or x²-4x+18=0
The answer is x equal 0 and y equal negative 3