Answer:
42
Step-by-step explanation:
SST = ∑
(
y
−
¯
y
)
² (¯
y = mean of y values)
¯
y = (5+8+14)/3 = 27/3 = 9
∑
(
y
−
¯
y
)
² = (
5
−
9
)
² + (
8
−
9
)
² + (
14
−9
)
²
= ( −
4
)
² + ( −
1
)
² + (
5
)
²
= 16 + 1 + 25
= 42
Answer:
Gertrude's favorite is <em>George Burn</em>
What we know from the beginning:
<u>Comedians</u>:
- George Burn
- Jack Benny
- David Letterman
- Jerry Springfield
<u>Lucy</u>: Jerry Springfield is her favorite
<u>David</u>: Does not like David Letterman
<u>Gertrude</u>: Does not like David Letterman, Does not like Jack Benny anymore
Solving:
- Since we know that <em>Jerry Springfield is Lucy's favorite</em>, he is not longer an option. This leaves George Burn, Jack Benny, and David Letterman.
- David and Gertrude do not like <em>David Letterman</em>, so he must be <em>Jose's favorite</em>. This leaves George Burn and Jack Benny
- Gertrude does not like Jack Benny anymore, so the only one left to be <em>her favorite is George Burn</em>
Answer: 270.29 meters
Step-by-step explanation:
This is a circle which means that the distance that Charlotte measured from the center of a circular garden to its edge is the radius.
The length of the path which goes around the garden would therefore be the circumference.
Circumference = π * diameter
Diameter = radius * 2
= 43 * 2
= 86 meters
Circumference = 22/7 * 86
= 270.29 meters
First, let's complete the angles in the triangle. Remember that the sum of the angles in a triangle is 180 degrees.
73 + 90 + x = 180
163 + x = 180
x = 17
So, the angle that completes the triangle is 17 degrees. If we look at that angle in the triangle and the one adjacent to it, we can see that those two angles form a linear pair (or are supplementary, both meaning that they add up to 180 degrees).
17 + x = 180
x = 163
So, 17's supplement is 163 degrees. The 163 degree angle corresponds with angle r, and corresponding angles are congruent.
Therefore, angle r is 163 degrees. The correct answer is option C.
Hope this helps!
Answer:
I think the answer is 3 1/12
Forgive me if I am wrong though
Step-by-step explanation:
