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2 years ago

The sides of the cubes are numbered 1 through 6. if they are both tossed, what is the probability that they will both be a 3?

Mathematics

2 answers:

enyata [817]2 years ago

5 0

Answer:

The answer is 1/36.

Step-by-step explanation:

Elodia [21]2 years ago

4 0

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

the sides of the cubes are numbered 1 through 6,

So,

$P(\text{ getting a 3})=\frac{1}{6}$

if they are both tossed ,

Probability (getting that they will both be a 3) is given by

$=\frac{1}{6}\times \frac{1}{6}\\\\=\frac{1}{36}$

(∵ $\\P(\text{A and B})=P(A\cap B)=P(A).P(B)\\$ )

Therefore, Option 'C' is correct.

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Which of the following equations represents the perpendicular bisector of WX graphed below?

kotykmax [81]

The coordinates of the 2 given points are W(-5, 2), and X(5, -4).

First, we find the midpoint M using the midpoint formula:

$\displaystyle{ M_{WX}= (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )= (\frac{-5+5}{2}, \frac{2+(-4)}{2} )=(0, -1).$

Nex, we find the slope of the line containing M, perpendicular to WX. We know that if m and n are the slopes of 2 parallel lines, then mn=-1.

The slope of WX is $\displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{2-(-4)}{-5-5}= \frac{6}{-10}= -\frac{3}{5}$ .

Thus, the slope n of the perpendicular line is $\displaystyle{ \frac{5}{3}$ .

The equation of the line with slope $\displaystyle{ n= \frac{5}{3}$ containing the point M(0, -1) is given by:

$\displaystyle{ y-(-1)=\frac{5}{3}(x-0)$

$\displaystyle{ y+1= \frac{5}{3}x$

$\displaystyle{ 3y+3=5x$

$\displaystyle{ 5x-3y-3=0$

Answer: 5x-3y-3=0

8 0

3 years ago

Factor the following :

TEA [102]

Answer:

(6x - 7y)(6x + 7y)

Step-by-step explanation:

36x² - 49y² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

36x² - 49y²

= (6x)² - (7y)²

= (6x - 7y)(6x + 7y)

4 0

3 years ago

Read 2 more answers

I need help as soon as possible

bixtya [17]

I believe the correct answer is -2

7 0

3 years ago

What are the slope and the y-intercept of the linear function that is represented by the equation 8x - 2y = 5?

ivann1987 [24]

Y=mx+b is the formula you need to get it in
start with the equation 8x-2y=5
so we want to get y by itself and everything else on the right side of the equation. to do this first subtract -8x from the left side and put it on the right side. this step would look like this:
8x-2y=5
-8x-2y=5 -> -2y=5-8x
-------------

next take and divide -2 from both sides of the equation. this would look like this:
-2y= 5 -8x
÷-2y=÷-2÷-2 -> y= -5/2 +4x
-------------------
so your new equation is y=4x-5/2 y=mx+b tells you the slope and y-intercept. m=slope and b=y-intercept. so in this case 4 is your slope and -5/2 is your y-int

6 0

2 years ago

Read 2 more answers

A steel beam can be cut to different lengths for a project. Assuming the weight of a steel beam is proportional to its length, w

aleksandr82 [10.1K]

Answer:

the weight of the steel beam and steel beam length

let y be weight and x be length of it

y=ax

where a is the constant

we can find it if we have two sets of values of y and x

6 0

3 years ago