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2 years ago

Pouch-and-coin situations

Mathematics

1 answer:

ser-zykov [4K]2 years ago

4 0

What are you talking about if you have a question ask me

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A bookshelf contains 10 mysteries, 8 biographies, and 6 science fiction books. A book is randomly selected, replaced, then anoth

Pachacha [2.7K]

Answer:

Biography= 8/24= 1/3

Science Fiction= 6/24= 1/4

Step-by-step explanation:

The probability for biography is (biography/total amount of books.)

8/24= 1/3

The probability for science fiction is (science fiction/ total amount of books.)

6/24= 1/4

6 0

3 years ago

Simplify 8x^4/x^3+7x^4 and Find the excluded values

Maksim231197 [3]

So first what we do is we need to get the excluded values. So to get them we have: 8x^4/x^3+7x^4.

Lets factor out the second part. x^3+7x^4 = (x^(3/4)+7x))^4

So then we get 8x^4/(x^(3/4)+7x)^4

8x^4/(x^(3/4)+7x)^4

8 0

3 years ago

How long is the Yangtze river

Nastasia [14]

Answer:

3,915 mi

Step-by-step explanation:

8 0

2 years ago

Write a sentence using the terms stimulus and respone

melamori03 [73]

Answer:

The dog responded to the stimulus of the ringing bell ans the response was incredibly fast.

Step-by-step explanation:

I believe you mean response repone is not a word

6 0

3 years ago

How do you find the value of c that satisfy the equation:

victus00 [196]

Answer:

The value of c = -0.5∈ (-1,0)

Step-by-step explanation:

Step(i):-

Given function f(x) = 4x² +4x -3 on the interval [-1 ,0]

Mean Value theorem

Let 'f' be continuous on [a ,b] and differentiable on (a ,b). The there exists a Point 'c' in (a ,b) such that

$f^{l} (c) = \frac{f(b) -f(a)}{b-a}$

Step(ii):-

Given f(x) = 4x² +4x -3 …(i)

Differentiating equation (i) with respective to 'x'

f¹(x) = 4(2x) +4(1) = 8x+4

Step(iii):-

By using mean value theorem

$f^{l} (c) = \frac{f(0) -f(-1)}{0-(-1)}$

$8c+4 = \frac{-3-(4(-1)^2+4(-1)-3)}{0-(-1)}$

8c+4 = -3-(-3)

8c+4 = 0

8c = -4

$c = \frac{-4}{8} = \frac{-1}{2} = -0.5$

c ∈ (-1,0)

Conclusion:-

The value of c = -0.5∈ (-1,0)

8 0

3 years ago