Answer:
d
Step-by-step explanation:
The rule (x, y ) → (x + 4, y - 6 )
means add 4 to the original x- coordinate and subtract 6 from the original y- coordinate, thus
P(- 8, 3 ) → P'(- 8 + 4, 3 - 6 ) → P'(- 4, - 3 )
Q(- 8, 6 ) → Q'(- 8 + 4, 6 - 6 ) → Q'(- 4, 0 )
R(- 3, 6 ) → R'(- 3 + 4, 6 - 6 ) → R'(1, 0 )
Step-by-step explanation:
a)
<u>Fill in the table:</u>
- Heads | 2 ⇒ 4 ⇒ 6⇒ 8 ⇒ 10 ⇒ 12
- Tails | 1 ⇒ 2 ⇒ 3 ⇒ 4 ⇒ 5 ⇒ 6
b)
The score of 4 is obtained in 2 cases out of 12 as per above table.
<u>The probability is:</u>
c)
The score of 10 is obtained once in 12 cases as per table.
<u>The probability is:</u>
<u>Out of 60 times he can score 10:</u>
3x+2=14
-2 -2
3x=12
/3 /3
X=4
Answer:
a) two
b) S = {Orange, Purple}
c) 50%
d) 50%
Step-by-step explanation:
a)
When a marble is drawn from the jar, there are <u>two</u> possible outcomes. Either the marble will be orange or it will be purple.
b)
A sample space is a set of all possible outcomes of an event. Thus, the sample space in this case will be:
<u>Sample Space = {Orange, Purple}</u>
c)
The probability of an event is given as the number of favorable outcomes divided by the number of total outcomes.
Therefore,
Probability of selecting orange marble = P(Orange) = 1/2
<u>P(Orange) = 0.5 = 50%</u>
d)
Probability of selecting purple marble = P(Orange) = 1/2
<u>P(purple) = 0.5 = 50%</u>
