Given the function f (x) = KX + 1, where the real number k is randomly selected from the interval [- 2,1]. For ∀ x ∈ [0,1], the probability of F (x) ≥ 0 is () A. 13B. 12C. 23D. 34

Given the function f (x) = KX + 1, where the real number k is randomly selected from the interval [- 2,1]. For ∀ x ∈ [0,1], the probability of F (x) ≥ 0 is () A. 13B. 12C. 23D. 34

From the meaning of the problem, we know that the problem is a geometric probability, the ratio of the corresponding length of the value of probability, ∵ - 2 ≤ K ≤ 1, its interval length is 3 and ∵ for ∀ x ∈ [0, 1], f (x) ≥ 0, and f (x) is a function of linear type about X, on [0, 1], it is monotone ∀ f (0) ≥ 0, f (1) ≥ 0 − 2 ≤ K ≤ 1 ≤ K ≤ 1, its interval length is 2 ∀ P = 23, so we choose C

Let the probability function of random variable X be p (x = k) = B (λ ^ k), k = 1,2,3, and b > 0. Then a. λ is any real number B. λ = B + 1 C. λ = 1 / (1 + b)
d.λ=1/(b-1)

The sum of all P is equal to 1
That is, B (λ ^ 1) + B (λ ^ 2) + B (λ ^ 3) + =1
That is, limb λ (1 - λ ^ k) / (1 - λ) = 1 (on the left is the limit when k tends to infinity)
So lambda

If two real numbers m and N are taken randomly in the interval [0,1], then the probability that the function f (x) = 4 / 3 (x) ^ 3-nx + 1 is an increasing function in the interval [1, infinite] is zero
Then the probability that the function f (x) = 4m / 3 (x) ^ 3-nx + 1 is an increasing function in the interval [1, infinity] is

Derivation
4mx^2-n>0
X = 1 is the endpoint
The probability of becoming 4m-n > = 0
I think = 0.75 plus the integral of (1-4x) on [0,0.25]
=0.75+0.125=0.875
I don't know, right

3x + 7Y = - 1 4x + 2Y = 4 quadratic equation
How to solve it

4x+2y=4
That is, 2x + y = 2
y=2-2x
Substituting 3x + 7Y = - 1
3x+14-14x=-1
11x=15
therefore
x=15/11
y=2-2x=-8/11

I like running and dancing

I like running and dancing.
If you have any questions, you are welcome to join our English class for free
I hope I can help you

What kind of music do you like?

What kind of music do you like?
what is your favorite music?

I like to eat these foods

I like eating these food. Or I like these food. You don't need to use eat. Food here is a general term, it's uncountable, you can't add s

I like my friends to translate this sentence in English like me

I like to have friends who are like me.

English translation
Ensure accuracy, grammar must be correct!

This song is for me.

English translation of birthday song

Sing a birthday song:
sing a birthday song；
sing birthday songs
above