Answer:
10.9375
Step-by-step explanation:
brainllest
Answer:
Which type of problem ...lol u have to mention this too
Answer:
The proof is detailed below.
Step-by-step explanation:
We will first prove that if H(x) is a differentiable function in [a,b] such that H'(x)=0 for all x∈[a, b] then H is constant. For this, take, x,y∈[a, b] with x<y. By the Mean Value Theorem, there exists some c∈(x,y) such that H(y)-H(x)=H'(c)(x-y). But H'(c)=0, thus H(y)-H(x)=0, that is, H(x)=H(y). Then H is a constant function, as it takes the same value in any two different points x,y.
Now for this exercise, consider H(x)=F(x)-G(x). Using differentiation rules, we have that H'(x)=(F-G)(x)'=F'(x)-G'(x)=0. Applying the previous result, F-G is a constant function, that is, there exists some constant C such that (F-G)(x)=C.
Answer:
A) The probability of picking a yellow ball from the bag is 26.66%.
B) The probability of picking a blue ball from the bag is 40%.
C) The probability of picking a yellow ball and then a blue ball is 11.42%.
Step-by-step explanation:
Since a bag contains 4 yellow balls, 5 red balls, and 6 blue balls, to determine what is the probability of picking a yellow ball from the bag, what is the probability of picking a blue ball from the bag and what is the probability of picking a yellow ball and then a blue ball after replacement, the following calculations must be performed:
A)
4 + 5 + 6 = 100
4 = X
15 = 100
4 = X
4 x 100/15 = X
400/15 = X
26.66 = X
Therefore, the probability of picking a yellow ball from the bag is 26.66%.
B)
15 = 100
6 = X
6 x 100/15 = X
600/15 = X
40 = X
Therefore, the probability of picking a blue ball from the bag is 40%.
C)
14 = 100
6 = X
6 x 100/14 = X
600/14 = X
42.85 = X
0.2666 x 0.4285 = X
0.1142 = X
Therefore, the probability of picking a yellow ball and then a blue ball is 11.42%.
