Answer:
2/9
Step-by-step explanation:
given that Tyler selects one card from the three(4,5, and a King), and rolls a number cube.
We find that A the event of selecting one card and B getting a number on rolling a number cube are independent events.
No of cards = 3
Prob of selecting 5 from 3 cards = 
When rolling a number cube (assuming fair) there is equally likely for all numbers to appear from 1 to 6
Prob of getting 5 =
Prob of getting less than 5 =
Since these two events are independent,
the probability that she selects the 5, and rolls a number less than 5
= Product of probabilities
=
*
=
-4x + 7y = 9 ⇒ -4x + 7y = 9 ⇒ 8x - 14y = -18
2y = -5x - 22 ⇒ -5x - 2y = 22 ⇒ <u>-35x - 14y = 154</u>
<u>43x</u> = <u>-172</u>
43 43
x = -4
-4x + 7y = 9
-4(-4) + 7y = 9
16 + 7y = 9
<u>- 16 - 16</u>
<u>7y</u> = <u>-7</u>
7 7
y = -1
(x, y) = (-4, -1)
Answer:
the first one due to the way up math works
Answer:
he can still get a 5 but he is equally likely to get any other number 1 to 6
Step-by-step explanation:
he has a 1/6 chance of rolling 5 the first turn and it becomes more and more rare to roll lots of 5s in a row
1/6
1/36
1/216
etc
each time the denominator is multiplied by 6 because it is less likely he will roll a 5 so many times in a row
Answer:a=3cm
Step-by-step explanation: