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4 years ago

Indicate the formula for the following conditions. C(n,r)

2 answers:

8 0

The formula for C(n,r), also known as "n choose r" or a combination,
is:
nCr = n! / (r!(n-r)!),
where n is the total number of options and r is number you must choose

The number generated is the total number of possible combinations.

The ! means factorial. For example, 4! = 4 x 3 x 2 x 1

Brut [27]4 years ago

6 0

Answer: $C(n,r)=\frac{n!}{r!(n-r)!}$

Step-by-step explanation:

Definition: A combination is a collection or set of the elements such that the order of the arrangement of elements doesn't matter. It is a common technique to find the total number of combinations of elements present in an event . It is denoted by C(n,r) .

The formula for the number of combinations of n things taken r at a time is given by :-

$C(n,r)=\frac{n!}{r!(n-r)!}$

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2/5- -3/4 what would be the answer?

Ipatiy [6.2K]

For this case we must simplify the following expression:

$\frac {2} {5} - (- \frac {3} {4})$

By definition of the law of multiplication signs we have to:

$- * - = +$

So, rewriting the expression we have:

$\frac {2} {5} + \frac {3} {4} =\\\frac {4 * 2 + 5 * 3} {5 * 4} =\\\frac {8 + 15} {20} =\\\frac {23} {20} = 1.15$

Thus, the answer in decimal form is 1.15.

Answer:

$\frac {23} {20} = 1.15$

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3 years ago

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ahrayia [7]

Answer:

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Step-by-step explanation:

5 Cm is the diameter and the radius is half the diameter so 5/2=2.5 or 1/2

4 0

3 years ago

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What piece of information does C identity for the formula y=ax+bx+c

S_A_V [24]

Answer:

C is the y-intercept

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3 years ago

A wooden log 10 meters long is leaning against a vertical wall with its other end on the ground. The top end of the log is slidi

Andre45 [30]

Answer:

Step-by-step explanation:

This is a related rates problem from calculus using implicit differentiation. The main equation is Pythagorean's Theorem. Basically, what we are looking for is $\frac{dx}{dt}$ when y = 6 and $\frac{dy}{dt}=-2$ .

The equation for Pythagorean's Theorem is

$x^2+y^2=c^2$ where x and y are the legs and c is the hypotenuse. The length of the hypotenuse is 10, so when we find the derivative of this function with respect to time, and using implicit differentiation, we get:

$2x\frac{dx}{dt}+2y\frac{dy}{dt}=0$ and divide everything by 2 to simplify:

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ . Looking at that equation, it looks like we need a value for x, y, $\frac{dx}{dt}$ and $\frac{dy}{dt}$ .

Since we are looking for $\frac{dx}{dt}$ , that can be our only unknown and everything else has to have a value. So what do we know?

If we construct a right triangle with 10 as the hypotenuse and use 6 for y, we can solve for x (which is the only unknown we have, actually). Using Pythagorean's Theorem to solve for x:

$x^2+6^2=10^2$ and

$x^2+36=100$ and

$x^2=64$ so

x = 8.

NOW we can fill in the derivative and solve for $\frac{dx}{dt}$ .

Remember the derivative is

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ so

$8\frac{dx}{dt}+6(-2)=0$ and

$8\frac{dx}{dt}-12=0$ and

$8\frac{dx}{dt}=12$ so

$\frac{dx}{dt}=\frac{12}{8}=\frac{6}{4}=\frac{3}{2}=1.5 m/sec$

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3 years ago

The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 30 and the common rati

Alchen [17]

The sum will be:

sigma(i = 1 to infinity, 30*(2/5)^i)

-> $\lim_{i \to \infty} \frac{30(1- \frac{2}{5}^{i} )}{ \frac{3}{5} }$

Which is equal to 30/(3/5) = 50

3 0

3 years ago

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