Answer:
Hope this helps! If I could have brainliest I'm trying to rank up.
Step-by-step explanation:
First find the probability of each color being drawn.
We need to find the total number of marbles first.
4 + 3 + 6 = 13
Everything will be over 13.
Probability of a white marble being drawn --> 4/13
Probability of a blue marble being drawn --> 3/13
Probability of a red marble being drawn --> 6/13
Now to find the probabilities of more than one being drawn, we can multiply.
Part A:
6/13*6/13=36/169
Part B:
3/13*3/13=9/169
Part C:
6/13*6/13=18/169
Part D:
7/13*7/13=49/169
Answer:
answer is 5.3 cuz I am smart I learned this so I'm here to help
I need help with this one to
So it tells us that g(3) = -5 and g'(x) = x^2 + 7.
So g(3) = -5 is the point (3, -5)
Using linear approximation
g(2.99) is the point (2.99, g(3) + g'(3)*(2.99-3))
now we just need to simplify that
(2.99, -5 + (16)*(-.01)) which is (2.99, -5 + -.16) which is (2.99, -5.16)
So g(2.99) = -5.16
Doing the same thing for the other g(3.01)
(3.01, g(3) + g'(3)*(3.01-3))
(3.01, -5 + 16*.01) which is (3.01, -4.84)
So g(3.01) = -4.84
So we have our linear approximation for the two.
If you wanted to, you could check your answer by finding g(x). Since you know g'(x), take the antiderivative and we will get
g(x) = 1/3x^3 + 7x + C
Since we know g(3) = -5, we can use that to solve for C
1/3(3)^3 + 7(3) + C = -5 and we find that C = -35
so that means g(x) = (x^3)/3 + 7x - 35
So just to check our linear approximations use that to find g(2.99) and g(3.01)
g(2.99) = -5.1597
g(3.01) = -4.8397
So as you can see, using the linear approximation we got our answers as
g(2.99) = -5.16
g(3.01) = -4.84
which are both really close to the actual answer. Not a bad method if you ever need to use it.
