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)
Answer:
True
Step-by-step explanation:
We are given that system of equation
x<3
y>3
We have to find that there is no solution of system of equation is true or not.
First we change inequality equation into equality equation
x=3
y=3
When x=0
0<3
It is true equation therefore, the shaded region towards the origin.
When y=0
0>3
It is false equation. Therefore, the shaded region above the origin.
From the graph
There is no solution of system of equation.
Hence, option true is correct.
So if your question is that 129% were sold (as in only a 29% increase from the original) then 3168 movies were sold.
If its a 129% increase (as in it doubles and then some) then 5624 movies were sold
Answer:
-54
Step-by-step explanation:
Find f( - 3) × g(4),
for f(x) = x^ - 3
f(-3) = -3^ - 3= -3 × -3 × -3= -27
and g(x) = x^½
g(4) = 4^½ = 2^2^½ = 2 ^1 = 2
f( - 3) × g(4) = -27 ×2 = -54
