Answer:
0.726 galones
Step-by-step explanation:
De la pregunta anterior, se nos dice que
1 botella = 2.75 litros de agua
Se nos pide encontrar cuántos galones puede contener.
En la pregunta, nos dicen
1 litro = 0.264 galones
2.75 litros =
Multiplicación cruzada
2.75 litros × 0.264 galones
= 0.726 galones.
Por lo tanto, 0.726 galones pueden caber en la botella
We need to construct the system of equations in order to solve that problem. Let's denote one-time membership fee with x and monthly fee with y. Then we can write that John paid x+6y=325 and Abigail paid x+9y=475. Solving the system of equations

, we find that x=25 and y=50. The monthly fee is 50 dollars.
Answer:
x = -14/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
x + 2/3 = -4
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 2/3 on both sides: x = -14/3
A is

absolute value is always positive, the minus sign vanishes (it literally means "how far away from zero" something is. distance can't be negative.)
B ist just 18
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