Answer:
P(X=3cars) = 0.052
P(X>3 cars) = 0.00638
Step-by-step explanation:
In total there are 7 cars per hour.
Using formulae for geometric Probability
P(X=3) = (7^3×e-7)/3! = 0.0521
P(X>3cars) = (7^2× e-7)/2! =
P(X>3) = 0.0128/2×1 =0.00638
The son is 8. I’m not sure if I’m right hope this helps
To answer this question, you first need to know what SohCahToa is.
S- opposite over hypotenuse
C- adjacent over hypotenuse
T- opposite over adjacent
In this situation, they have made it easier for you as they have given you the quotient of the opposite and adjacent sides (3.4) . Now in order to find an angle, you take the inverse of your expression. So instead of just Tan, you would plug in Tan^-1. So plug it in:
Tan^-1 (3.4)
Answer is 73.6 degrees.
Let me express the equation clearly:
lim x→-9 (x²-81)/(x+9)
Initially, we solve this by substituting x=-9 to the equation.
((-9)²-81)/(-9+9) = 0/0
The term 0/0 is undefined. This means that the solution is not see on the number line because it is imaginary. Other undefined terms are N/0 (where N is any number), 0⁰, 0×∞, ∞-∞, 1^∞ and ∞/∞. One way to solve this is by applying L'Hopitals Rule. This can be done by differentiating the numerator and denominator of the fraction independently. Then, you can already substitute the x=-9.
(2x-0)/(1+0) = 2x = 2(-9) = -18
The other easy way is to substitute x=-8.999 to the original equation. Note that the term x→-9 means that x only approaches to -9. Thus, you substitute a number that is very close to -9. Substituting x=-8.999
((-8.999)²-81)/(-8.999+9) = -18
If you're looking for the value of the number, then here's how:
Let's call the number x
4x + 7x = 44
11x = 44
÷ 11
x = 4
So the number you're looking for is 4, if you wanted to know something else then let me know!
