Answer:
p=18/11
Step-by-step explanation:
Simplify: 4+2p=50/3p-20
Multiply each side by 3: 12+6p=50p-60
Add like terms: -44p=-72
Divide both sides by -44 and simplify: p=18/11
Answer:
a) 3/64 = 0.046 (4.6%)
b) 63/64 = 0.9843 (98.43%)
c) 1/64 = 0.015 (1.5%)
d) 1/4 = 0.25 (25%)
Step-by-step explanation:
in order to verify that the f(x) is a probability mass function , then it should comply the requirement that the sum of probabilities over the entire space of x is equal to 1. Then
∑f(x)*Δx = 1
if f(x)=(3/4)(1/4)^x , x = 0, 1, 2, ...
then Δx=1 and
∑f(x) = (3/4)∑(1/4)^x = (3/4)* [ 1/(1-1/4)] = (3/4)*(4/3) = 1
then f represents a probability mass function
a) P(X = 2)= f(x=2) = (3/4)(1/4)^2 = 3/64 = 0.046 (4.6%)
b) P(X ≤ 2) = ∑f(x) = f(x=0)+ f(x=1) + f(x=2) = (3/4) + (3/4)(1/4) + 3/64 = 63/64 = 0.9843 (98.43%)
c) P(X > 2)= 1- P(X ≤ 2) = 1 - 63/64 = 1/64 = 0.015 (1.5%)
d) P(X ≥ 1) = 1 - P(X < 1) = 1 - f(x=0) = 1- 3/4 = 1/4 = 0.25 (25%)
What? I don’t understand lol
Answer:
c
Step-by-step explanation:
6 × 9 ÷ 18 + 100 - 11 + 4
Use the order of operations to simplify:
- Parentheses
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
6 × 9 ÷ 18 + 100 - 11 + 4
There are no parentheses or exponents, so multiplication comes first. Multiply 6 and 9.
54 ÷ 18 + 100 - 11 + 4
Next is division. Divide 54 by 18.
3 + 100 - 11 + 4
Finally, add and subtract from left to right.
103 - 11 + 4
92 + 4
96
<h3>
Answer:</h3>
96
