Answer:
1.3125
Step-by-step explanation:
Given that our random variable 
follows a Poisson distribution
Evaluate the formula at 
#since
The mean and variance of the Poisson distributed random variable is equal to 
:
#By property variance:
The expectation is 1.3125
The standard form of a quadratic equation is ,
ax² + bx + c = 0.
And the formula to find the discriminant is b² - 4ac.
Here the first step is to change the given equation into standard form. So, add 1 to each sides of the equation. Therefore,
2x² – 9x + 2+1 = –1 + 1
2x² – 9x + 3 = 0
Next step is to compare the given equation with this equation to get the value of a, b and c.
After comparing the equations we will get a = 2, b = -9 and c = 3.
So, discriminant = b²- 4ac
=( -9)²-4 (2)(3)
= 81 - 24
= 57
So, discriminant of the given equation is 57.
57 is greater than 0 and square root of 57 will result real number.
So, the correct choice is C: The discriminant is greater than 0, so there are two real roots.
Answer: 337.5 km
Step-by-step explanation:
Use proportion:
2:75=9:x
2x=675
x=675/2
X=337.5
All triangles angles in the inside add up to 180, so 180-76-72=32
