Probability of getting an even number (2,4,6) out of (1,2,3,4,5,6) =3/6=1/2
The probability of getting x even number :
(using the binomial probability)
30Cx (1/2)^x . (1/2)^(30-x)
Answer:

Step-by-step explanation:
The imaginary unit is
.
Now 63 itself is not a perfect square but 63 does contain a factor that is.
63=9×7 and 9 is a perfect square.
So
.

We need to 'standardise' the value of X = 14.4 by first calculating the z-score then look up on the z-table for the p-value (which is the probability)
The formula for z-score:
z = (X-μ) ÷ σ
Where
X = 14.4
μ = the average mean = 18
σ = the standard deviation = 1.2
Substitute these value into the formula
z-score = (14.4 - 18) ÷ 1..2 = -3
We are looking to find P(Z < -3)
The table attached conveniently gives us the value of P(Z < -3) but if you only have the table that read p-value to the left of positive z, then the trick is to do:
1 - P(Z<3)
From the table
P(Z < -3) = 0.0013
The probability of the runners have times less than 14.4 secs is 0.0013 = 0.13%
Answer:
y = 4x + 5
Step-by-step explanation:
Take any two points
(0 , 5) & (2 , 13)
Slope = 

m = 4 & (0 , 5)
y - y1 = m(x-x1)
y - 5 = 4(x - 0)
y - 5 = 4x
y = 4x + 5
Answer:
192 feet is the stopping distance at 48 mph.
Step-by-step explanation:
Set up the proportion
x/75 = 2304/900 cross multiply to get 900x = 172800
172800 ÷ 900 = 192
x = 192