<span>The correct answer is (a) total deviation equals unexplained deviation plus explained deviation.
These deviations are commonly encountered or studied in statistics, and sometimes in regression analysis.</span>
Answer:
Senior citizen tickets = $9
Student tickets = $11
Step-by-step explanation:
We begin by converting these into simultaneous linear equation;
Senior citizen tickets = a
Student tickets = b
5a + 9b = 144
14a + 6b = 192
5a = 144 - 9b
a = 144/5 - 9b/5
a = 28.8 - 1.8b
We now substitute this into the first equation
14(28.8 - 1.8b) + 6b = 192
403.2 - 25.2b +6b = 192
-19.2b = 192 - 403.2
b = -211.2/-19.2
b = 11
Put the value of b into either equation
5a + 9b = 144
5a + 9(11) = 144
5a +99 = 144
5a = 144-99
5a = 45
a = 9
The answer to this is 65.
Remember that the angles opposite of each other equal to 180. So a+c=180 and b+d=180.
First, we solve for x. Since we know that b and d equal to 180, we subtract 148 from 180.
180-148=32. x=32.
Then we plug that in the expression for angle a.
2x+1 becomes 2(32)+1
2*32=64
64+1=65.
a=65
Let , smallest integer is x.
So , other one is x + 1.
By , given conditions :
Since, the numbers are positive so, x = -2 is ignored.
Therefore, the numbers are 9 and 10.
Hence, this is the required solution.
Answer:
The value of the missing side is 
Step-by-step explanation:
In this problem i assume that the length side x is tangent to the circle
so
the length side x is perpendicular to the radius
Applying the Pythagoras Theorem in the right triangle
we have that
Solve for x
