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4 years ago

I have a lot sorry

1 answer:

7 0

5/8 times 2- divide the top number by the bottom, then times it by the 2 6 divided by 3/5- 6 divided by the top number and then divide that number by 5 That's all I know I'm afraid hope I helped

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Max points!! help please!!! tyyyyy

krek1111 [17]

Answer:

b. 70

Step-by-step explanation:

The Binomial Coefficient can be used to calculate the number of ways objects can be arranged.

<u>Binomial Coefficient</u>

$\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}$

The exclamation mark "!" placed after a number means factorial and indicates to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

The Binomial Coefficient gives us the number of ways of picking "r" unordered outcomes from "n" possibilities.

As there are 8 friends ⇒ n = 8.

As each car takes 4 friends ⇒ r = 4.

Substitute these values into the formula:

$\begin{aligned} \implies \displaystyle \rm \binom{8}{4} \: = \:^{8}C_{4} & = \rm \frac{8!}{4!(8-4)!}\\\\ & = \rm \dfrac{8 \times 7\times 6\times 5\times 4\times 3\times 2\times 1}{4\times 3\times 2\times 1\times 4\times 3\times 2\times 1}\\\\ & = \rm \dfrac{8 \times 7\times 6\times 5}{4\times 3\times 2\times 1}\\\\ & = \rm \dfrac{1680}{24}\\\\ & = \rm 70\end{aligned}$

Learn more about the binomial coefficient here:

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6 0

2 years ago

Read 2 more answers

Tammy accidentally wrote a check for more money than she had in her checking account. When she got her statement, she saw that h

Kamila [148]

Answer:

3659

Step-by-step explanation:

5 0

3 years ago

A fair coin is flipped two times. Which diagram shows all of the possible outcomes?

kirza4 [7]

Answer:

Step-by-step explanation:

It is the only one that has both heads and tails equally on all options, instead of heads heads or tails tails. There aren't any fair coins that are like that

hope this helps :)

6 0

2 years ago

What does trace of matrix mean explain with examples

34kurt

Trace of a matrix is defined only for a square matrix . It is the sum of the elements on the main diagonal, from the upper left to the lower right, of the matrix

7 0

3 years ago

Find the maximum rate of change of f at the given point and the direction in which it occurs. f(p, q) = 8qe−p + 4pe−q, (0, 0) ma

Pachacha [2.7K]

Answer:

Step-by-step explanation:

$Given \ f (p,q) = 8qe^{-p} + 4pe^{-q} \ where \ P_o(0,0) \\ \text{thus the gradient of f is: } \\ \\ \bigtriangledown f(p,q) = \Big(\dfrac{\partial f}{\partial p}, \dfrac{\partial f}{\partial q} \Big) \\ \\ \dfrac{\partial f}{\partial p} = -8qe^{-p} + 4pe^{-q} \\ \\ \dfrac{\partial f}{\partial p} = 8qe^{-p} - 4pe^{-q} \\ \\ Then: \bigtriangledown f(p.q) = (-4qe^{-p}+ 8qe^{-q}, 4qe^{-p}- 8qe^{-q}) \\ \\ f(0,0) = (-4*(0)e^{-0}+ 8*(0)e^{-(0)}, 4*(0)e^{-(0)}- 8*(0)e^{-(0)}) \\ \\ = (0+8,4-0) = (8.4)$

$\Big| \Big | \bigtriangledown f(0,0) = \sqrt{(8)^2+4^2} \\ \\ = \sqrt{64+16} \\ \\ = \sqrt{80}$

$\mathbf{the \ direction \ of \ maximum \ change \ is }= \mathbf{\sqrt{80}} \\ \\ \mathbf{direction }(8,4)$

7 0

3 years ago