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3 years ago

11

A standard die is rolled two times. What is the probability that it lands on 5 both times?

1 answer:

klio [65]3 years ago

8 0

Answer:

1/36

Step-by-step explanation:

A die can roll a 1,2,3,4,5,6

P (5) = number of 5's / total

= 1/6

The 2nd roll is independent so the probability is the same

P (5) = number of 5's / total

= 1/6

P(5, 5) = 1/6*1/6 = 1/36

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What is the solution of the system? Use elimination.

sweet [91]

Answer:

The solutions to the system of the equations by the elimination method will be:

$x=2,\:z=-1,\:y=2$

Step-by-step explanation:

Given the system of the equations

$2x\:+\:2y\:+z\:=\:7$

$-x-\:y\:+z\:=\:-5$

$x+3y-4z=12$

solving the system of the equations by the elimination method

$\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}$

$\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10$

$\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}$

$-2x-2y+2z=-10$

$+$

$\underline{2x+2y+z=7}$

$3z=-3$

$\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}$

$2x+6y-8z=24$

$-$

$\underline{2x+2y+z=7}$

$4y-9z=17$

$\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}$

Rearranging the equations

$\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}$

solve $3z=-3$ for z:

$z=-1$

$\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1$

solve $4y-9\left(-1\right)=17$ for y:

$4y-9\left(-1\right)=17$

$4y+9=17$

$4y=8$

$y=2$

$\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2$

solve $2x+2\cdot \:2-1=7$ for x:

$2x+2\cdot \:2-1=7$

$2x+3=7$

$2x=4$

$x=2$

Therefore, the solutions to the system of the equations by the elimination method will be:

$x=2,\:z=-1,\:y=2$

5 0

2 years ago

Which statement best illustrates using the vertical line test to determine if the graph below is a function of X? ANSWER FAST IL

MaRussiya [10]

Answer:

The graph is nor a function og x because tha like y=0 intersects the graph at two points

7 0

3 years ago

Value of the expression 6x-2y 5y when x=10 and y=3.

vfiekz [6]

Answer:

-150

Step-by-step explanation:

Multiply & Divide left to right

$60-2*35*3$

Once again Multiply & Divide

$60-210$

Add & Subtract

Final Answer: $-150$

6 0

2 years ago

Simplify the expression by combining like terms<br>14g-6-13g-7

frozen [14]

Answer:

g-13

Step-by-step explanation:

subtract 14g from 13 making it g and add 6+7

Hope this helps :P

7 0

3 years ago

Read 2 more answers

My opposite sides are parallel., and equal in length.All of my angles are equal in sides.

brilliants [131]

Hiya!

The answer is: quadrilateral

Every side of a quadrilateral are parralle and has the same length.

A quadrilateral is a 2-dimensional closed shape with four straight sides.

Have a nice day

4 0

3 years ago