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kirill [66]
1 year ago
7

Find the derivative of g(y)=(y-4)*(2y+y^2)

Mathematics
1 answer:
sasho [114]1 year ago
5 0

Answer:

g'(y)=3y^2-4y-8

Step-by-step explanation:

start by foiling out the given function

g(y)=(y-4)(2y+y^2)\\=2y^2+y^3-8y-4y^2\\=y^3-2y^2-8y

next, use the power rule to find the derivative

power rule: To use the power rule, multiply the variable's exponent n, by its coefficient a, then subtract 1 from the exponent. If there's no coefficient (the coefficient is 1), then the exponent will become the new coefficient.

g'(y)=3y^2-4y-8

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A class of 10 students hang up their coats when they arrive at school. Just before recess, the teacher hands one coat selected a
Fittoniya [83]

Answer:

0.1274

Step-by-step explanation:

Let X be the random variable that measures the number of children who get their own coat.

Then, the expected value of X is

E[X] = 1P(X=1) + 2P(X=2)+3P(X=3)+...+10P(X=10)

The probability that a child gets her or his coat is

P(X=1) = 1/10

To compute the probability that 2 children get their own coat, we notice that there are 10! possible permutations of coats. The two children can get their coat in only one way, the other 8 coats can be arranged in 8! different positions, so the probability that 2 children get their own coat is

P(X=2) = 8!/10! = 1/(10*9)  and

2P(X=2) = 2/(10*9)

Similarly, we can see that the probability that 3 children get their own coat is

P(X=3) = 7!/10! = 1/(10*9*8) and  

3P(X=3) = 3/(10*9*8*7)

and the expected value of X would be

E[X] = 1/10 + 2/(10*9) + 3/(10*9*8)+...+10/10! = 0.1274

6 0
3 years ago
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
Lynna [10]
Y > 5x + 5 . . . (1)y > -1/2x + 1 . . . (2)
Part A: The graph of the system are two straight dotted lines with the first line passing through points (-1, 0) and (0, 5) with the region above the line shaded and the second line passing through (0, 1) and (2, 0) with the region above the line shaded. The two lines intersect at point (-8/11, 15/11).
Part B: The point (-2, 5) is included in the solution area.5 > 5(-2) + 5 and 5 > -1/2(2) + 15 > -10 + 5 and 5 > -1 + 15 > -5 and 5 > 0
hope i helped
4 0
3 years ago
Read 2 more answers
I really need plz help ASAP the right answer will be marked of brainlest
diamong [38]

Answer:

40

Step-by-step explanation:

5*4*2

4 0
3 years ago
Read 2 more answers
95 out of 1200 randomly selected people surveyed in the u.s said they would rather watch baseball on television than go to a gam
Brums [2.3K]

Answer:

C.) go to a baseball game than watch it on television

Step-by-step explanation:

Only 7.9% of the 1200 people would rather watch a game on television than go to a game.

  • <em>That means 92% of the group would rather go to a game, instead of watching it on television.</em>

Your answer should be letter C, most people would rather go to a baseball game than watch it on television

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3 years ago
How to write 100203 in standard form
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