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3 years ago

7

Decide if the following scenario involves a permutation or combination. Then find the number of possibilities. The student body

of 165 students wants to elect 3 representatives

1 answer:

Troyanec [42]3 years ago

6 0

Answer:

735,130.

Step-by-step explanation:

The order of election of the 3 representatives does not matter so it is a combination.

The number of possible combinations

= 165! / 162! 3!

= (165 * 164 * 163) / (3*2*1)

= 735,130.

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What are the roots of f(x) = x2 – 48? –48 and 48 –24 and 24 Negative 8 StartRoot 3 EndRoot and 8 StartRoot 3 EndRoot Negative 4

Ivanshal [37]

Answer:

$x=4\sqrt{3},\:x=-4\sqrt{3}$ are the roots.

Step-by-step explanation:

$x=4\sqrt{3},\:x=-4\sqrt{3}$

Considering the expression

$x^2\:-\:48$

Solving

$x^2-48=0$

$x^2-48+48=0+48$

$x^2=48$

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{48},\:x=-\sqrt{48}$

Solving

$x=\sqrt{48}$

= $\sqrt{2^4\cdot \:3}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}$

= $\sqrt{3}\sqrt{2^4}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^m}=a^{\frac{m}{n}}$

$\sqrt{2^4}=2^{\frac{4}{2}}=2^2$

$=2^2\sqrt{3}$

$=4\sqrt{3}$

So,

$x=4\sqrt{3}$

Similarly,

$x=-\sqrt{48}=-4\sqrt{3}$

Therefore, $x=4\sqrt{3},\:x=-4\sqrt{3}$ are the roots.

Keywords: roots, expression

Learn more about roots from brainly.com/question/3731376

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9 0

3 years ago

Read 2 more answers

find the least perfect square that is exactly divisible by each of the numbers 5 , 18 , 25 and 27 .

Dimas [21]

<h3>☂︎ Answer :- </h3>

8100

<h3>☂︎ Solution :- </h3>

LCM of 5 , 18 , 25 and 27 = 2 × 3³ × 5²
2 and 3 have odd powers . To get a perfect square, we need to make the powers of 2 and 3 even . The powers of 5 is already even .

In other words , the LCM of 5 , 18 , 25 and 27 can be made a perfect square if it is multiplied by 2 × 3 .

The least perfect square greater that the LCM ,

☞︎︎︎ 2 × 3³ × 5² × 2 × 3

☞︎︎︎ 2² × 3⁴ × 5²

☞︎︎︎ 4 × 81 × 85

☞︎︎︎ 100 × 81

☞︎︎︎ 8100

8100 is the least perfect square which is exactly divisible by each of the numbers 5 , 18 , 25 , 27 .

7 0

2 years ago

6a+ -12a plz explain (a=1/2) I don't know evaluating expressions

Marianna [84]

Plug in the 1/2 where the a’s are answer is -3

7 0

3 years ago

This figure is 14 of a circle.

Wittaler [7]

Answer:

The perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.

Step-by-step explanation:

Given : A quarter of a circle with radius labeled 2 in.

Quarter of circle means fourth part of a circle (as shown in image by shaded part).

We have to find the perimeter of this shaded quarter of circle.

Perimeter is the sum of the dimension of the given figure.

Perimeter of circle is $2\pi r$

Since, we are given Quarter circle so its perimeter $\frac{2}{4} \pi r+r+r=\frac{1}{2} \pi r+r+r$

Perimeter of given figure = $\frac{1}{2} \pi r+r+r$

Perimeter of given figure = $\frac{1}{2}\cdot 3.14 \cdot 2+2+2=3.14+4=7.14$

Thus, the perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.

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3 years ago

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Of the last 60 people who went to the cash register at a department store, 13 had blond hair, 18 had black hair, 22 had brown ha

Taya2010 [7]

Yes. 18/60 = 9/30 = 3/10.

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2 years ago