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4 years ago

What is the value of the digit $121.99

Mathematics

1 answer:

bulgar [2K]4 years ago

8 0

Which digit is it? Lol you didn't clarify.

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What value is a permutation of n things taken r at a time divided by to get the combination of n things taken r at a time?

Lera25 [3.4K]

Answer:

A. r!

Step-by-step explanation:

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

Permutation of n things taken r at a time

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

Combination of n things taken r at a time:

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

Division:

$\frac{P_{(n,r)}}{C_{n,r}} = \frac{\frac{n!}{(n-r)!}}{\frac{n!}{r!(n-r)!}} = \frac{n!}{(n-r)!} \times \frac{r!(n-r)!}{n!} = r!$

So the correct answer is:

A. r!

5 0

3 years ago

Please help me ASAP!!!

Anna71 [15]

by triangle angle addition law

a + b + c = 180

3x +1 + 2x-1 +40 = 180

5x +40 = 180

5x = 180 - 40 = 140

x = 140/5 = 28

b = 2x -1 = 2×28-1= 56-1 = 55

4 0

3 years ago

Gabriel is designing equally sized horse stalls that are each in the shape of a rectangular prism. Each stall must be 9 feet hig

Andrews [41]

Answer:

The equation is $9x(x+2)=1,080.$

The solution of the equation is x=10.

Step-by-step explanation:

The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.

Let x ft be the widht of the stall, then the length of the stall is x+2 ft. If each stall must be 9 ft high, then the volume of the stall is $V=x\cdot (x+2)\cdot 9=9x(x+2)\ ft^3.$

The volume of each stall is $1,080\ ft^3,$ then

$9x(x+2)=1,080,\\ \\x(x+2)=120,\\ \\x^2+2x-120=0,\\ \\D=2^2-4\cdot (-120)=4+480=484=22^2,\\ \\x_{1,2}=\dfrac{-2\pm 22}{2}=-12,\ 10.$

The width cannot be negative, thus, $x=10.$

5 0

3 years ago

Using the figure bellow find m<_6 if m<_8=110 degrees. What will m<_6=? (show your work if possible)

damaskus [11]

Answer:

angle 6= 110°

Step-by-step explanation:

complimentary angles are congruent

8 0

3 years ago

The following table shows a proportional relationship. Find the constant of

mash [69]

Answer:

k=1/4

Step-by-step explanation:

k=y/x

2/8 is 1/4

3/12 is 1/4

4/16 is 1/4

5/20 is 1/4

3 0

3 years ago