Answer:
Step-by-step explanation:
<u>Completing the square</u>
- x^2 - 8x + 7 = 0
- x^2 - 2*4x + 16 - 9 = 0
<u>The blanks are</u>
Answer:
$12.09
Step-by-step explanation:
formula Y = KX
where; y = $24.18
x = 2 books
k = constant proportionality
Step 1. Do the equation based on the data given
$24.18 = k 2
Step 2. Divide 2 on both sides to eliminate integer on the right side
$24.18 / 2 = k2/2
Answer ;
k = $12.09 dollar in relate to number of books
Answer:
8000
Step-by-step explanation:
The number will be ...
(400 m^2)/(500 cm^2) = 0.8 (m/cm)^2 = 0.8 ((100 cm)/(1 cm))^2
= 0.8·100^2 = 8000
Fiona can cut 8000 rectangles from the plastic sheeting she bought.
Answer:
-4x - 3 = -8
Step-by-step explanation:
On our left, we have -x in 4 places = 4(-x) = -4x
And on the left, we also have -1 in 3 places = 3(-1) = -3
Altogether in our left, we have: -4x +(-3)
That is: -4x - 3
On our right, we have -1 in 8 places, which is 8(-1) = -8
Therefore, the equation that represents the model would be:
-4x - 3 = -8
Answer:
a) Mean, E(X) = - 0.5
Variance = = 9.25
b) 
or
⇒ 
⇒ 
Step-by-step explanation:
Given:
moment generating function of X as:
MX(t) = 
a) Now
Mean, E(X) =
Thus,

or

also,
Thus,

or

Therefore,
Mean, E(X) = 
or
Mean, E(X) = - 0.5
and

or
= 9.5
also,
Variance(X) = E(X²) - E(X)²
⇒ 9.5 - (-0.5)²
= 9.25
b) Now,
Let f(x) be the PMF of X
Thus,

or
⇒ 
⇒ 
Therefore,
at x = 0, P(x) =
at x= - 4 ,P(x) = 
at x = 5, P(x) =
Thus,
E(X) =
or
E(X) = - 0.5
also,
= 9.5
Hence,
Var(X) = E(X²) - E(X)²
⇒ 9.5 - (-0.5)²
= 9.25