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tankabanditka [31]

3 years ago

14

In how many ways can a committee of size 5 be formed from 11 people? Assume that, when people are chosen for a committee, the or

der of the choices does
not matter.

1 answer:

Cerrena [4.2K]3 years ago

3 0

Answer:

462 ways

Step-by-step explanation:

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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .

$15x(x^2-3x+2x-6)=0$

$15x((x^2-3x)+(2x-6))=0$

$15x(x(x-3)+2(x-3))=0$

$15x(x-3)(x+2)=0$

Now, we will use zero product property to find the zeros of our given function.

$15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0$

$15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0$

$\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0$

$x=0\text{ (or) }x=3\text{ (or) }x=-2$

Therefore, the zeros of our given function are $x=-2,0,3$ .

7 0

3 years ago

Find the sum of the first 8 terms in the sequence 2 8 32 128

Zigmanuir [339]

the sequence is in multiples of 4 (2*4=8, 8*4=32, 32*4=128)

so 128*4=512, 512*4=2048, 2048*4=8192 & 8192*4=32768

2+8+32+128+512+2048+8192+32768=43690

4 0

3 years ago

Can anyone do this 3 questions please....

Colt1911 [192]

Answer:

23 ) 60 x raised to 3 , y raised 3 , z raised to 3

25 ) 12 p

Step-by-step explanation:

23 ) volume of a rectangular box = l ×b×h

3x square y * 4y square * 5z square x

60 x raised to 3

25 ) area of a square = side × side

(3×4) p

12 p

5 0

3 years ago

What is the equivalent fraction of 60/98

scoray [572]

$\frac{60}{98}=\frac{60:2}{98:2}=\boxed{\frac{30}{49}}\\\\\frac{60}{98}=\frac{60\cdot2}{98\cdot2}=\boxed{\frac{120}{196}}\\\\\frac{60}{98}=\frac{60\cdot3}{98\cdot3}=\boxed{\frac{180}{294}}\\\vdots\\\frac{60}{98}=\frac{60\cdot10}{98\cdot10}=\boxed{\frac{600}{980}}\\\vdots$

7 0

3 years ago

Approximately 18% of the population of California is 70 years or older. In a random sample of 4, what is the provability for 3 o

Semmy [17]

Answer:

The correct response will be "0.01913".

Step-by-step explanation:

According to the question,

p - P(70 years or older)

= 0.18

n = 4

X = no. of individuals who are older than 70 years

Now,

∴ $P(X=r)=n_C_r \ p^r(1-p)^{n-r}$

∴ $P(X=3)=4_C_3(0.18)^3(1-0.18)^{4-3}$

$=4\times (0.18)^3(0.82)^1$

$=0.01913$

8 0

3 years ago