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2 years ago

15

A 6-sided die is rolled. What is the probability of rolling a 3 or a 5?

1 answer:

olga_2 [115]2 years ago

7 0

Sine there are six sides and 3 and 5 are two of the sides you would get a 3 or 5 2 out of 6 times or 2/6. This can be reduced to the fraction 1/3 so there is a 1/3 probability of rolling either a 3 or 5.

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Select the two binomials that are factors of this trinomial.

const2013 [10]

$\huge{ \mathfrak{ \underline{question : }}}$

Select the two binomials that are factors of this trinomial.

$x_2 + 8x + 12$

$\huge{ \mathfrak{ \underline{Answer : }}}$

${x}^{2} + 8x + 12$

${x }^{2} + 6x + 2x + 12$

$x (x + 6) + 2(x + 6)$

$(x + 2)(x + 6)$

We got the factors as :

$A. \: (x + 6)$

and

$D. \: (x + 2)$

$\#TeeNForeveR$

7 0

3 years ago

Help with this math question

ZanzabumX [31]

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5 0

3 years ago

Read 2 more answers

A triangle has base 2x+1 and height 6x-3. What value of x would give an area of 240m2?

GREYUIT [131]

Answer:

The values of x which would give an area of 240m² would be:

$x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}$

Step-by-step explanation:

Given

The base of triangle b = 2x+1

The height of triangle h = 6x-3

The Area of the triangle A = 240 m²

The Area of the triangle has the formula

A = 1/2 × b × h

substituting b = 2x+1, h = 6x-3 and A = 240

$240\:=\:\frac{1}{2}\:\left(2x+1\right)\:\times \left(6x-3\right)$

$480=\left(2x+1\right)\left(6x-3\right)$

$480=12x^2-3$

Subtract 480 from both sides

$12x^2-3-480=480-480$

$12x^2-483=0$

$3\left(4x^2-161\right)=0$

$3\left(2x+\sqrt{161}\right)\left(2x-\sqrt{161}\right)=0$

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

$2x+\sqrt{161}=0\quad \mathrm{or}\quad \:2x-\sqrt{161}=0$

solving

$2x+\sqrt{161}=0$

$2x=-\sqrt{161}$

Divide both sides by 2

$\frac{2x}{2}=\frac{-\sqrt{161}}{2}$

$x=-\frac{\sqrt{161}}{2}$

also solving

$2x-\sqrt{161}=0$

$2x=\sqrt{161}$

Divide both sides by 2

$\frac{2x}{2}=\frac{\sqrt{161}}{2}$

$x=\frac{\sqrt{161}}{2}$

Therefore, the values of x which would give an area of 240m² would be:

$x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}$

3 0

3 years ago

Solve. 3(4 - x) = 12 - 3x

poizon [28]

The answer is B, all real number

6 0

3 years ago

Read 2 more answers

What is the solution of the inequality x^2-9x+18 less then or equal to zero? Graph solution.

Stels [109]

ANSWER

$3\le x\le6$

EXPLANATION

The given inequality is

${x}^{2} - 9x + 18 \leqslant 0$

This is the same as

$(x - 3)(x - 6) \leqslant 0$

The corresponding equation is

$(x - 3)(x - 6)= 0$

By the zero product principle,

$x = 3 \: or \: x = 6$

We now plot the boundaries and test for the region that satisfies the inequality.

See attachment.

From the graph the solution is

$3\le x\le6$

6 0

3 years ago