Answer:3495250
Step-by-step explanation:
~geometric sequence
common ratio: r=4
formula: Sn=a1(1-r^n)/1-r
Sn=10(1-(4)^10)/1-4
=-10485750/-3
=3495250
Answer:
P(X ≥ 2) = 0.90842
Step-by-step explanation:
This is a Poisson distribution problem
And Poisson distribution formula is given by
P(X = x) = (e^-λ)(λˣ)/x!
where λ = mean = average arrival rate = 4 customers per hour
x = variable whose probability is required = at least 2. P(X ≥ 2)
P(X ≥ 2) = 1 - P(X < 2)
P(X < 2) = P(X=0) + P(X=1)
P(X=0) = (e⁻⁴)(4⁰)/0!
P(X=0) = 0.01832
P(X=1) = (e⁻⁴)(4¹)/1!
P(X=1) = 0.07326
P(X < 2) = P(X=0) + P(X=1) = 0.01832 + 0.07326 = 0.09158
P(X ≥ 2) = 1 - P(X < 2) = 1 - 0.09158 = 0.90842
Hope this Helps!!!
Answer:
x = - 1, x = 8
Step-by-step explanation:
Given
8 + 7x - x² = 0 ( multiply through by - 1 and arrange into standard form )
x² - 7x - 8 = 0 ← in standard form
(x - 8)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 8 = 0 ⇒ x = 8
Step - by - step equation:
4(5x - 2) = 2(9x + 3)
20x - 8 = 18x + 6
20x = 18x + 6 + 8
20x = 18x + 14
20x - 18x = 14
2x = 14
x = 14 / 2
x = 7
Hope it helped,
BioTeacher101
Answer:
The answer would be 70000, because the 10 is powered to 4 you have to put down 4 zeros and since the equation is 7×10^4 you have to put down a 7 before the 4 zeros, therefore the answer would be 70000