Multiply: (2x − 3)(x^2 + 4x − 3)

Eva payrolls for on a number cube and the number of cubes roll 24 times then what is a reasonable prediction for the number of s

Allushta [10]

Answer:

The reasonable prediction for successful rolls is 4.

Step-by-step explanation:

Assuming the rolling cube is a fair 6 sided cube, so the probability of success of one roll is given as

$P(Success)=\dfrac{Number\ of\ successful\ events}{Number\ of\ total\ events}$

$P(Success)=\dfrac{1}{6}$

The total success is given as

$P(Total\ Success)=P(Success)\times Number\ of\ events$

For 24 rolls it is given as

$P(Total\ Success)=P(Success)\times Number\ of\ events\\P(Total\ Success)=\dfrac{1}{6}\times 24\\P(Total\ Success)=4$

So the reasonable prediction for successful rolls is 4.

3 0

2 years ago

in a standard casino dice game the roller wins on the first roll if he rolls a sum of 7 or 11. what is the probability of winnin

Alborosie

Answer-

The probability of winning on the first roll is 0.22

Solution-

As in the game of casino, two dice are rolled simultaneously.

So the sample space would be,

$|S|=6^2=36$

Let E be the event such that the sum of two numbers are 7, so

E = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}

$|E|=56$

$\therefore P(E)=\dfrac{|E|}{|S|}=\dfrac{6}{36}$

Let F be the event such that the sum of two numbers are 11, so

F = {(6,5), (5,6)}

$|F|=2$

$\therefore P(F)=\dfrac{|F|}{|S|}=\dfrac{2}{36}$

Now,

$P(\text{sum is 7 or 11)}=P(E\ \cup\ F)=P(E)+P(F)=\dfrac{6}{36}+\dfrac{2}{36}=\dfrac{8}{36}=\dfrac{2}{9}=0.22$

8 0

3 years ago

Open the picture, help me and get 10 points

Hitman42 [59]

13 feet wide.
156/12=13
Brainliest plz

4 0

3 years ago

URGENT!!!!!! Find the value of q in the following system so that the solution to the system is——

valkas [14]

<h3>Answer: Q = 8</h3>

====================================================

Explanation:

The left hand side of the first equation is x-3y

The left hand side of the second equation is 2x-6y = 2(x-3y). Note how it's simply double of the first expression x-3y

If we multiply both sides of the first equation by 2, we get

x-3y = 4

2(x-3y) = 2*4

2x-6y = 8

Meaning that 2x-6y = 8 is equivalent to x-3y = 4. Both produce the same line leading to infinitely many solutions. Each solution will lay along the line x-3y = 4.

We can say each solution is in the set {(x,y): x-3y = 4}

Which is the same as saying each solution is of the form (3y+4,y)

4 0

3 years ago

X^4-7x^2+9 (resolve into factors) Please help me I will mark you as brainliest.

SSSSS [86.1K]

Factoring x4-7x2-9 

Factoring x4-7x2-9 The first term is, x4 its coefficient is 1 .

Factoring x4-7x2-9 The first term is, x4 its coefficient is 1 .The middle term is, -7x2 its coefficient is -7 .

Factoring x4-7x2-9 The first term is, x4 its coefficient is 1 .The middle term is, -7x2 its coefficient is -7 .The last term, "the constant", is -9 

Factoring x4-7x2-9 The first term is, x4 its coefficient is 1 .The middle term is, -7x2 its coefficient is -7 .The last term, "the constant", is -9 Step-1 : Multiply the coefficient of the first term by the constant 1 • -9 = -9

Factoring x4-7x2-9 The first term is, x4 its coefficient is 1 .The middle term is, -7x2 its coefficient is -7 .The last term, "the constant", is -9 Step-1 : Multiply the coefficient of the first term by the constant 1 • -9 = -9 Step-2 : Find two factors of -9 whose sum equals the coefficient of the middle term, which is -7 .

Factoring x4-7x2-9 The first term is, x4 its coefficient is 1 .The middle term is, -7x2 its coefficient is -7 .The last term, "the constant", is -9 Step-1 : Multiply the coefficient of the first term by the constant 1 • -9 = -9 Step-2 : Find two factors of -9 whose sum equals the coefficient of the middle term, which is -7 . -9 + 1 = -8

Factoring x4-7x2-9 The first term is, x4 its coefficient is 1 .The middle term is, -7x2 its coefficient is -7 .The last term, "the constant", is -9 Step-1 : Multiply the coefficient of the first term by the constant 1 • -9 = -9 Step-2 : Find two factors of -9 whose sum equals the coefficient of the middle term, which is -7 . -9 + 1 = -8 -3 + 3 = 0

Factoring x4-7x2-9 The first term is, x4 its coefficient is 1 .The middle term is, -7x2 its coefficient is -7 .The last term, "the constant", is -9 Step-1 : Multiply the coefficient of the first term by the constant 1 • -9 = -9 Step-2 : Find two factors of -9 whose sum equals the coefficient of the middle term, which is -7 . -9 + 1 = -8 -3 + 3 = 0 -1 + 9 = 8

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5 0

3 years ago