All categories

3 years ago

You roll a six sided die two times what is the probability the two numbers are one apart

Mathematics

1 answer:

Stels [109]3 years ago

4 0

2/6 or 2/3 simplify the fraction

You might be interested in

What are the solutions of the equation x4 - 9x2 + 8 = 0? Use u substitution to solve.

Sedbober [7]

Answer:

$\large\boxed{B.\ x=\pm1\ and\ x=\pm2\sqrt2}$

Step-by-step explanation:

$x^4-9x^2+8=0\\\\x^{2\cdot2}-9x^2+8=0\qquad\text{use}\ (a^n)^m=a^{nm}\\\\(x^2)^2-9x^2+8=0\\\\\text{substitute}\ x^2=t\geq0\\\\t^2-9t+8=0\\\\t^2-t-8t+8=0\\\\t(t-1)-8(t-1)=0\\\\(t-1)(t-8)+0\iff t-1=0\ \vee\ t-8=0\\\\t-1=0\qquad\text{add 1 to both sides}\\t=1\geq0\\\\t-8=0\qquad\text{add 8 to both sides}\\t=8\geq0$

$t=x^2\to x^2=1\ \vee\ x^2=8\\\\x^2=1\Rightarrow x=\pm\sqrt1\to x=\pm1\\\\x^2=8\Rightarrow x=\pm\sqrt8\to x=\pm\sqrt{4\cdot2}\to x=\pm\sqrt4\cdot\sqrt2\to x=\pm2\sqrt2$

4 0

3 years ago

Read 2 more answers

Cuanto es 2/9 - 4/15

Step2247 [10]

Step-by-step explanation:

6-20/3=14/3..........

8 0

3 years ago

Read 2 more answers

Find the mass of the lamina that occupies the region D and has the given density function ?. D is the triangular region with ver

joja [24]

The mass of the lamina is given by

$\displaystyle\iint_Df(x,y)\,\mathrm dA=\int_{x=0}^{x=2}\int_{y=x/2}^{y=3-x}3(x+y)\,\mathrm dy\,\mathrm dx=18$

4 0

3 years ago

Children younger than ______ years of age must be restrained in an approved child passenger safety seats unless they are at leas

xxTIMURxx [149]

<span>Children younger than __<u>8</u>___ years of age must be restrained in an approved child passenger safety seats unless they are at least 4 ft, 9 inches in height.</span>

4 0

3 years ago

In triangle DEF, segment DJ is a perpendicular bisector of side EF. If EJ is 3y-8 and JF is 7y-40, what is the length of JF?

luda_lava [24]

Answer: The length of JF = 16 units.

Step-by-step explanation:

Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.

i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]

If EJ is 3y-8 and JF is 7y-40.

Then, $3y-8=7y-40$

$\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}$

JF= 7(8)-40 =56-40= 16 units

Hence, the length of JF = 16 units.

4 0

3 years ago

Read 2 more answers