Answer:
0.25
Step-by-step explanation:
Prime outcomes on a die: 2,3,5
P(prime) = 3/6 = 1/2
Even outcom: 2,4,6
P(even) = 3/6 = 1/2
P(prime & even)
= P(prime) × P(even)
= ½ × ½
= ¼ or 0.25
Answer:
B. 6i√6
General Formulas and Concepts:
<u>Algebra II</u>
- Imaginary Numbers: √-1 = i
Step-by-step explanation:
<u>Step 1: Define expression</u>
√-216
<u>Step 2: Simplify</u>
- Factor: √-1 · √216
- Simplify: i · 6√6
- Multiply: 6i√6
B1 to H1, B3 to H2, B2 to H3.
Answer:
a). The mean = 1000
The variance = 999,000
The standard deviation = 999.4999
b). 1000 times , loss
Step-by-step explanation:
The mean of geometric distribution is given as , 
And the variance is given by, 
Given : 
= 0.001
The formulae of mean and variance are :



a). Mean = 
=
= 1000
Variance = 
= 
= 999,000
The standard deviation is determined by the root of the variance.

=
= 999.4999
b). We expect to have play lottery 1000 times to win, because the mean in part (a) is 1000.
When we win the profit is 500 - 1 = 499
When we lose, the profit is -1
Expected value of the mean μ is the summation of a product of each of the possibility x with the probability P(x).

= $ 0.50
Since the answer is negative, we are expected to make a loss.
Answer: 44 gallons
Step-by-step explanation:
Using proportion,
33 gallons = 3hours
X = 4hours
Cross multiply
3 × X = 33 × 4
3X = 132
Divide bothside by 3
3x/3 =132/3
X = 44
Therefore the helicopter uses 44gallons for 4 hours.