P(cube lands on 4 = 1/6
P(coin lands on heads) = 1/2
P( both) = 1/6 * 1/2 = 1/12 <===
144/2=72
72/9=8
8×4=32
8×5=40
therefore 32 and 40
9514 1404 393
Answer:
- B → X
- C → Y
- D → Z
- 180° rotation about the origin
Step-by-step explanation:
In general, if PQ is rotated to P'Q', the center of rotation (O) will be the point of intersection of the perpendicular bisectors of PP' and QQ'. The angle of rotation will be the angle POP', or QOQ'.
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The correspondence between preimage vertices ABCD and image vertices can be found by naming the vertices in the same order (clockwise) from one whose correspondence you know.
Here, the correspondence between A and W is given. Vertices clockwise from W are WXYZ, so those are the image points corresponding to ABCD.
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We note that the midpoints of AW and BX are coincident at the origin. That is, the perpendicular bisectors of these segments are coincident at the origin, so the origin (point O) is the center of rotation. The rotation angle is AOW, an angle that measures 180°.
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The image point coordinates are the opposites of the preimage point coordinates.
A(2, 2) ⇒ W(-2, -2)
B(2, 5) ⇒ X(-2, -5)
C(5, 5) ⇒ Y(-5, -5)
D(5, 2) ⇒ Z(-5, -2)
This is another indication that the rotation is 180° about the origin, since that rotation results in the mapping ...
(x, y) ⇒ (-x, -y) . . . . . rotation 180° about the origin
Options:
A. 18, 20, 20, 22, 25
B. 20, 20, 20, 25, 25
C. 16, 19, 21, 22, 22
D. 20, 20, 21, 22, 22
Answer:
A. 18, 20, 20, 22, 25
Step-by-step explanation:
Required
Which list has a mean of 21 and median of 20
Each of the list have 5 numbers and they've all been sorted.
The median is the number at the 3rd position (i.e. the middle number)
So, list C and D are out because they do not have a median of 20.
Next, calculate the mean of lists A and B
A. 18, 20, 20, 22, 25
B. 20, 20, 20, 25, 25
Only list A has a median value of 20 and a mean value of 21
Answer:
<h3>In the attachment.</h3>
Step-by-step explanation:
We need only two points.
Choose any two values of x. Put them to the equation and calculate the value of y: