Answer:
5
0.9990
0.0401
Step-by-step explanation:
1) Probability(diamond) = 13/52 = 1/4
Probability(not diamond) = 1 - 1/4 = 3/4
Probability of atleast one diamond = 1 - probability of no diamonds
= 1 - (¾ × ¾) = 1 - 9/16 = 7/16
Expected no. = np = 12 × 7/16
= 5.25 = 5 (nearest whole no.)
2) let X be the no. of people winning the prize.
Then X ~ B(12, 7/16)
[ X follows a Binomial Distribution with 12 trials and probability of success (winning prize) = 7/16 ]
P(atleast 1 winning) = 1 - P(X=0)
= 1 - (9/16)^12
= 0.9989966087
= 0.9990 (4 dp)
3) P(X=2) = 12C2 × (7/16)² × (9/16)^10
= 0.0400613268
= 0.0401 (4 dp)
140000 + 12000 = 152000
hope this helps
Answer:
Just post your question here
Step-by-step explanation:
Find the decimal equivalent of each and then put in order.
Steve 130 5/6= 130.83333
Riley 130 2/3= 130.66666
Nikolas 130.5
Carrie 130 7/12= 130.58333
Jorja 130.25
Now that they each have a decimal equivalent, we can put them in order from greatest to least.
Steve 130 5/6= 130.83333
Riley 130 2/3= 130.66666
Carrie 130 7/12= 130.58333
Nikolas 130.5
Jorja 130.25
ANSWER: A) Steve, Riley, Carrie, Nikolas, Jorja
Hope this helps! :)
Answer:
(-13, -4)
Step-by-step explanation:
It is about as easy to try the solutions as it is to find them from scratch.
__
However, we can determine which one it is by adding twice the second equation to the first.
(-2a +3b) +2(a -4b) = (14) +2(3)
-5b = 20
b = -4 . . . . . . matches the first choice