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3 years ago

A die is rolled 30 timeswhat is the probability of getting x even number

1 answer:

6 0

Probability of getting an even number (2,4,6) out of (1,2,3,4,5,6) =3/6=1/2

The probability of getting x even number :
(using the binomial probability)

30Cx (1/2)^x . (1/2)^(30-x)

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Find the value of the expression 0.5^10/0.5^7

SIZIF [17.4K]

Answer:

The solution is:

$\frac{0.5^{10}}{0.5^7}=0.125$

Step-by-step explanation:

Given the expression

$0.5^{10}\div 0.5^7$

Solving

$\frac{0.5^{10}}{0.5^7}$

$\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}$

$\frac{0.5^{10}}{0.5^7}=0.5^{10-7}$

$\mathrm{Subtract\:the\:numbers:}\:10-7=3$

$=0.5^3$

$=0.125$ ∵ $0.5^3=0.125$

Therefore, the solution is:

$\frac{0.5^{10}}{0.5^7}=0.125$

7 0

3 years ago

Factor the polynomial function over the complex numbers. f(x)=x^4-x^3-2x−4 Enter your answer in the box. f(x) = The answer is: (

Vladimir79 [104]

Answer:

Factors: $(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0$

Step-by-step explanation:

We are given a polynomial:

$f(x)=x^4-x^3-2x-4$

We have to factor the given polynomial into its complex factors.

The factorization can be done as follows:

$f(x)=x^4-x^3-2x-4 = 0\\x^4-x^3-2x-4 = 0\\x^4-4-x^3-2x=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^4-4)-(x^3+2x) = 0\\(x^2+2)(x^2-2)-x(x^2+2) = 0\\(x^2+2)(x^2-2-x) = 0\\(x^2+2)(x^2-x-2) = 0\\(x^2+2)(x^2-2x-+x-2) = 0\\(x^2+2)((x(x-2)+1(x-2))=0\\(x^2+2)(x+1)(x-2)=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^2-(\sqrt{-2})^2)(x+1)(x-2)=0\\(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0$

8 0

3 years ago

I need help ASAP with this

igor_vitrenko [27]

Answer:

2ITR/KVJFCIUYBDTR67E4VHJN, BHJYUG76T89O;LXCS,DVTI9R0OPE;'

Step-by-step explanation:

8 0

3 years ago

-7(-2x - 3) = 35 x=? -8(4x + 3) = 40 x=? 2(8 - 5x) = -44 x=?

STALIN [3.7K]

Use distributive property: multiply the number outside the bracket by each number inside it

1. 14x+21=35 14x=14 x=1
2. -32x-24=40 -32x=64 x= -2
3. 16-10x=-44 -10x=-60 x=6

5 0

3 years ago

Use two unit multipliers to convert 32 square millimeters to square centimeters. Will somebody thoroughly explain this to me? Th

AVprozaik [17]

Well I really can't explain but the answer is 0.32 square millimeters...so sorry if this didn't help.

7 0

3 years ago