Step-by-step explanation:
We have it that x follows a poisson distribution.
λ is equal to 3
The poisson distribution is given by:
P(x) = e^-λ * λ^X/X!
λ = 3
X = 4
A. The question had already given us the X value to be 4
p(x = 4)
= e^-3 x 3⁴/4!
= e^-3 = 0.001
3⁴= 34
4! = 81
putting all values into p(x=4)
= .001x81/24
= 0.1680
b. for 3 good hours, we will have lamda to be;
3x3 = 9
p(x = 6)
= e^-9 * 9⁶/6!
= 0.0911
Answer:
SA ≈ 1134 cm²
General Formulas and Concepts:
<u>Math</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
- Radius: r = d/2
- Surface Area of a Sphere: SA = 4πr²
Step-by-step explanation:
<u>Step 1: Define</u>
d = 19 cm
<u>Step 2: Find </u><em><u>SA</u></em>
- Substitute [R]: r = 19 cm/2
- Divide: r = 9.5 cm
- Substitute [SAS]: SA = 4π(9.5 cm)²
- Exponents: SA = 4π(90.25 cm²)
- Multiply: SA = 361π cm²
- Multiply: SA = 1134.11 cm²
- Round: SA ≈ 1134 cm²
Answer:
g(x) = 4^x + 1.
Step-by-step explanation:
The graph of f(x) = 4^x passes through the point (0, 1) because when x = 0, 4*0 = 1. Also when x = 1, 4^x= 4. So it passes through (1, 4).
For g(x) we have corresponding points (0, 2) and (1, 5).
So we see that g(x) is a similar graph but it has been translated up 1 unit.
I think you have to first separate the integral:1/(1+v^2) + v/(1+v^2),
so the integral of the first term is ArcTan (v) and for the integral of the second term i recommend you to do a change of variable:
y= 1+v^2
so
dy= 2v
and
v= dy/2and then you substitute:v/(1+v^2) = (1/2)(dy/y)
and the integral is
(1/2) (In y)finally you plug in the initial variables:
(1/2)(In [1+v^2])
so the total integral is:
ArcTan (y) + (1/2)(In [1+v^2])
Answer:
i can't see the rest of the question so i don't know the answer choices but:
since x≥8
whichever choice is less than 8 is incorrect
step-by-step explanation:
i can't see the rest of the question so i don't know the answer choices but:
7x≥56
x≥8
