All categories

3 years ago

A fair dice is rolled 3 times in a row. The outcomes are shown below.

Mathematics

1 answer:

tester [92]3 years ago

4 0

Answer:

$\frac{1}{2}$

Step-by-step explanation:

$\frac{1}{6} + \frac{1}{6} + \frac{1}{6} =\frac{1}{2}$

You might be interested in

An athletic field is a 42 yd-by-84 yd rectangle, with a semicircle at each of the short sides. A running track 20 yd wide surr

goldfiish [28.3K]

The solution is in the attachment

6 0

3 years ago

in a paper airplane contest marcels plane travels 3.345 meters. salvadors plane travels 3.35 meters. jennifers plane travels 3.3

ahrayia [7]

Salvadors
u . t h th
3 . 3 0 0
3 . 3 4 5
3 . 3 5 0
salvador has the farthest distance.

6 0

3 years ago

Read 2 more answers

If (−4, 11) and (−6, 5) are the endpoints of a diameter of a circle, what is the equation of the circle?

lora16 [44]

Answer:

A. $(x+5)^2+(y-8)^2=100$

Step-by-step explanation:

1. The standard form of the equation of a circle is $(x-h)^{2} + (y-k)^2=r^2$

2. To find the center we require the midpoint of the 2 given points

center = $[\frac{1}{2}(-4-6),\frac{1}{2}(11+5)]$

=(-5,8)

3. The radius is the distance from the centre to either of the 2 given points calculate the radius using the distance formula

d= $\sqrt{(x_{2}+x_{1})^{2} +(y_{2}-y_{1})^{2}$

let $(x_{1},y_{1})= (-5,8) \\$ and $(x_2,y_2)=(-4,11)$

r= $\sqrt{(-4+5)^2+(11-8)^2} =\sqrt{81+9}=10$

--> $(x-(-5)^2+(y-8)^2=10^2$

--> $(x+5)^2+(y-8)^2=100$

4 0

3 years ago

Read 2 more answers

Q(a+1) - 2q(a) if q(x) = x²+3x+4

siniylev [52]

$q(x) = {x}^{2} + 3x + 4$

_________________________________

Step(1)

To find q(a) we just need to put a instead of x in q(x) function.

Let's do it...

$q(a) = {a}^{2} + 3a + 4$

Multiply sides by -2 :

$- 2q(a) = - 2( {a}^{2} + 3a + 4)$

$- 2q(a) = - 2 {a}^{2} - 6a - 8$

_________________________________

Step (2)

To find q(a+1) we just need to put a+1 instead of x in q(x) function.

Let's do it...

$q(a + 1) = ({a + 1})^{2} + 3(a + 1) + 4 \\$

$q(a + 1) = {a}^{2} + 2a + 1 + 3a + 3 + 4 \\$

$q(a + 1) = {a}^{2} + 5a + 8$

_________________________________

Step (3)

$q(a + 1) - 2q(a) =$

${a}^{2} + 5a + 8 - 2 {a}^{2} - 6a - 8 = \\$

$- {a}^{2} - a = - a(a + 1)$

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

8 0

3 years ago

Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-inte

frosja888 [35]

As we go from (-6,6) to (9,1), x increases by 15 and y decreases by 5. Thus, the slope of this line is m = rise / run = -5/15, or m = -1/3.

Point-slope form: y-6 = (-1/3)(x+6), using data from (-6,6).

Slope-intercept form: starting with y = mx + b, substit. -6 for x, 6 for y and -1/3 for m:

6 = (-1/3)(-6) + b, or

6 = 2 + b. Then b = 4, and the equation in slope-intercept form is

y = (-1/3)x + 4.

8 0

3 years ago