3. jessica is playing a board game with her mother. the spinner used for
the board game is broken up into 5 different colored pie shaped
pieces. in order to the win the game, jessica must try and get the
spinner to land on the color purple two times in a row. if she spins the
spinner twice, what is the probability that she will land on purple both
times?
oa.
1/100
ob
1/5
oc.
1/25
1/10
o d.
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C. 1/25

Step-by-step explanation:

I assume this is a fair spinner and the probability of landing in all colors is equal.

First spin:

p(purple) = 1/5

Second spin:

p(purple) = 1/5

The two spins are independent events, so the probability of landing on purple twice is the product of the two individual probabilities.

p(purple and purple) = 1/5 * 1/5 = 1/25

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1