Fifty people were surveyed about their preference between chocolate and vanilla cake. The following two-way table displays data for the sample of people who responded to the survey.
Preference Male Female TOTAL
Prefers chocolate
18
1818
15
1515
33
3333
Prefers vanilla
6
66
5
55
11
1111
No preference
4
44
2
22
6
66
TOTAL
28
2828
22
2222
50
5050
In this sample, are the events "female" and "prefers chocolate" mutually exclusive?
Choose 1
Choose 1

(Choice A)
A
Yes

(Choice B)
B
No
Find the probability that a randomly selected person from this sample is female OR prefers chocolate.
P
(
female OR prefers chocolate
)
=
P(female OR prefers chocolate)=P, left parenthesis, start text, f, e, m, a, l, e, space, O, R, space, p, r, e, f, e, r, s, space, c, h, o, c, o, l, a, t, e, end text, right parenthesis, equals

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)

-60.75

step-by-step explanation:

just add the numbers then put the negative sign on it