answer:
the mean for this is 27
step-by-step explanation:
all you have to do is add up all of the times
15, 18, 20, 22, 28, 37, 49
which would have given you
189
then you divide that number by how much times were written down
7 would be that number so
189/7 = 27
and this is what it is written in one equation
(15+18+20+22+28+37+49)/7
hope this helps you! :)
Answer:
- ∠CDE ↔ 50°
- ∠FEG ↔ 75°
- ∠ACB ↔ 55°
Step-by-step explanation:
To solve angle problems like this, you make use of three relations:
- linear angles have a sum of 180°
- angles in a triangle have a sum of 180°
- vertical angles have the same measure
The attached diagram shows the measures of all of the angles of interest in the figure. The ones shown in blue are the ones that have the measures and names on the list of answer choices.
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A good place to start is with the linear angle pair at A. Since the sum of the two angles is 180°, the angle at A that is inside the triangle will be ...
180° -130° = 50°
Then the missing angle in that triangle at C will have the measure that makes the sum of triangle angles be 180°:
∠ACB = 180° -50° -75° = 55° . . . . . this is one of the angles on your list
Similarly, the angle at E inside triangle FEG will have a measure that makes those angles have a sum of 180°:
∠FEG = 180° -60° -45° = 75° . . . . . this is one of the angles on your list
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The two angles whose measures we just found are vertical angles with the base angles in triangle CDE, so that triangle's angle D will have a measure that makes the total be 180°.
∠CDE = 180° -55° -75° = 50° . . . . . this is one of the angles on your list
Please only post one problem at a time. I'll answer problem 1 to get you started. If you still need help with the rest, then post them as separate posts and I'll have a look at them.
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Notice how x = -1 is the junction point, where one piece transitions to the other
Plug x = -1 into each piece of the piecewise function
So for the first piece we have
b - 2x
b - 2(-1)
b + 2
and similarly for the second piece
-6/(x-b)
-6/(-1-b)
Now set the two expressions equal to each other and solve for b
-6/(-1-b) = b+2
-6 = (b+2)(-1-b)
(b+2)(-1-b) = -6
-b-b^2-2-2b = -6
-b-b^2-2-2b+6 = 0
-b^2-3b+4 = 0
b^2+3b-4 = 0
(b-1)(b+4) = 0
b-1 = 0 or b+4 = 0
b = 1 or b = -4
The value of b with greater absolute value is b = -4 as this value is further from zero (compared to b = 1)
So -4 goes in the box
This is what the graph of f looks like (see attached) when b = -4
I hope this helps you
x=4 q (4)=8.4-7
q (4)=32-7
q (4)=25