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3 years ago

You roll a 6-sided die. What is P(4)?

Mathematics

2 answers:

Aleks [24]3 years ago

6 0

Answer: 1/6 = 0.1666

Step-by-step explanation:

expeople1 [14]3 years ago

5 0

Answer: 0.1666

Step-by-step explanation: To find the probability of an event, you divide the number of favorable events by the number of total events. Since there are 6 total events, and rolling a 4 counts as 1 event, you would divide 1 by 6.

1/6 = 0.1666

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what is the simple formula for the nth term of the following arithmetic sequence? 14, 18,22, 26,30 ...

Artyom0805 [142]

$a_n=a_1+(n-1)d\\\\a_1=14;\ a_2=18\\\\d=a_2-a_1\to d=18-14=4\\\\subtitute\\\\\boxed{a_n=14+(n-1)\cdot4=14+4n-4=\boxed{4n+10}}$

5 0

4 years ago

The school has t-shirts to hand out. They have 10 hot pink shirts, 6 neon green shirts, 9 bright yellow shirts, and 11 vibrant b

poizon [28]

Answer:11/36

Step-by-step explanation:there are 36 shirts in total and only 11. So you have an 11/36 chance

4 0

4 years ago

The x- intercepts of a parabola are (0,-6) and (0,4). The parabola crosses the y- axis at -120. Lucas said that an equation for

astraxan [27]

Given:

The x- intercepts of a parabola are (0,-6) and (0,4).

The parabola crosses the y- axis at -120.

Lucas said that an equation for the parabola is $y=5x^2+10x-120$ and that the coordinates of the vertex are (-1, -125).

To find:

Whether Lucas is correct or not.

Solution:

The x- intercepts of a parabola are (0,-6) and (0,4). It means (x+6) and (x-4) are the factors of the equation of the parabola.

$y=a(x+6)(x-4)$ ...(i)

The parabola crosses the y- axis at -120. It means the equation of the parabola must be true for (0,-120).

$-120=a(0+6)(0-4)$

$-120=a(6)(-4)$

$-120=-24a$

Divide both sides by -24.

$\dfrac{-120}{-24}=a$

$5=a$

Substituting $a=5$ in (i), we get

$y=5(x+6)(x-4)$

$y=5(x^2+6x-4x-24)$

$y=5(x^2+2x-24)$

$y=5x^2+10x-120$

So, the equation of the parabola is $y=5x^2+10x-120$ .

The vertex of a parabola $f(x)=ax^2+bx+c$ is:

$Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)$

In the equation of the parabola, $a=5,b=10,c=-120$ .

$-\dfrac{b}{2a}=-\dfrac{10}{2(5)}$

$-\dfrac{b}{2a}=-\dfrac{10}{10}$

$-\dfrac{b}{2a}=-1$

Putting $x=-1$ in the equation of the parabola, we get

$y=5(-1)^2+10(-1)-120$

$y=5-10-120$

$y=-125$

So, the vertex of the parabola is at point (-1,-125).

Therefore, Lucas is correct.

5 0

3 years ago

PLS HELP ME ASAP WITH THIS WHOLE PAGE! THANK YOU SOO MUCH!!

Doss [256]

1a) The function has arrows on both ends and no place in the middle where it is not defined. Its domain is ...
All Reals

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y ≥ -3

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g(x)

2b) The function is only defined for 0 ≤ x < 8. This is its domain.

3) A definition might be ...
$y=\left\{ \begin{array}{rcl}x+1 & \mbox{for} & -4\le x \le 1\\-x & \mbox{for} & 1 < x \le 3 \end{array}$

6 0

3 years ago

How do you simplify polynomials

Allushta [10]

Hopefully that helps you out

4 0

4 years ago