Find the probability of rolling a three first and then a six when a pair of dice is rolled twice.


a. 1/18

b. 5/648

c. 1/54

d. 5/324

Plz help me

Answer:

Verify x+y+z)=(x+y)+z for the following values of x,y,z

(i)x=3/4,y=5/6,z=-7/8(

ii)x=2/; 3,y=-5/6,z=-7/9(

iii)x=3/5,y=-6/9,z=2/10(

iv)x=; - 3/5, y = - 7/10, z = - 8/15 To Verify x+(y+z)=(x+y)+z (i)x=3/4,y=5/6,z=-7/8 LHS = 3/4 + (5/6 + (-7/8)) = (3/4) + (5/6 -7/8)= (3/4) + ((20-21)/24) = 3/4 - 1/24 =(18-1)/24 = 17/24

RHS = (3/4 + 5/6) + (-7/8)= (9 + 10)/12 - 7/8 = 19/12-7/8 = (38-21)/24 = 17/24

LHS = RHS = 17/24 (ii) * x = 2/3, y = - 5/6, z = - 7/9 LHS = 2/3 + (-5/6+ (-7/9) = 2/3 + (-5/6 - 7/9) = 2/3 + (-29/18) = 2/3 - 29/18

= 12/18 - 29/18 = -17/18

RHS = (2/3 + (-5/6))+(-7/9) = (2/3 - 5/6) - 7/9 = (-1/6) - 7/9 = -1/6 - 7/9 = -3/18 - 14/18 =

-17/18

LHS = RHS....

Hence verified..

Step-by-step explanation:

hope it helps u no notebook

.???

Answer:

B or the second one

Step-by-step explanation:

There are the same numbers just positive and negative.

Hope it helps c:

Answer:

B. Selling treasury securities

Step-by-step explanation:

I'm taking the quiz

The Federal Reserve can reduce the amount of money available in the economy is buying treasury securities.

Therefore, the correct answer exists as option B. Selling treasury securities.

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Answer:

4.8 feet

Step-by-step explanation:

Use the cosine ratio, since we are given the length of the hypotenuse (the ladder) and are asked to find the horizontal distance between it and the ground.

Let x represent the horizontal distance (the adjacent leg)

cosine θ = adjacent / hypotenuse

cosine 76° = x / 20

(20)(cosine 76°) = x

4.8 = x

So, the horizontal distance is approximately 4.8 feet

Answer:

Step-by-step explanation:

area of a triangle is  1/2* base * height

1/2* 2.6* 3    is the area of the end of the object , now just multiply by it's length

9*( 1/2* 2.6* 3  )

this looks like choice 3 of the choices  

Answer:

(B n C) = {b,c}

A = {a,b,c}

B= {b,c,d}

C= {b,c,e}

A u (B n C) = {a,b,c}

(A u B) = {a,b,c,d}

(A u B) n C = {b,c}

(A u C) = {a,b,c,e}

(A u B) n (A u C) = {a,b,c}

Answer:

12, 120,012

Step-by-step explanation:

Answer:

y=1/2x+1/2

Step-by-step explanation:

the line intercepts at (0,0.5) which makes the y-intercept 1/2 and if you look at the slope, it increases 1 unit up and 2 units to the right so the slope is also 1/2

The equation of line is y= 1/2x+ 1/2.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the graph as (-1, 0) and (3, 2).

So, slope of line = (2 - 0)/ (3 -(-1))

                            = 2/4

                            = 1/2

Now, slope- intercept form

y- 0 = 1/2 ( x-(-1))

y= 1/2x + 1/2

Hence, the equation of line is y= 1/2x+ 1/2

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Answer:

20 cm²

Step-by-step explanation:

Area of the square = 2cm * 2cm = 4 cm²

Area of All triangles = (4cm * 2cm) ÷ 2cm * 4cm = (4cm * 2cm) * 2cm = 16 cm²

Total Area = 4 cm² + 16 cm² = 20 cm²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

f(x) is shrinked

Step-by-step explanation:

Given

[tex]f(x) = 4^x[/tex]

[tex]g\left(x\right)=\frac{1}{3}\cdot4^x[/tex]

Required

The effect of dilation on f(x)

From the given parameters, we have:

[tex]f(x) = 4^x[/tex]

[tex]g\left(x\right)=\frac{1}{3}\cdot4^x[/tex]

On a general term;

[tex]g(x) = k * f(x)[/tex]

So by comparison:

[tex]k = \frac{1}{3}[/tex]

When scale of dilation is less than 1, it means the function is reduced. Hence, the specific effect on f(x) is shrink

Answer:

[tex]21 in^{2}[/tex]

Step-by-step explanation:

The square in the middle has a length and width of 3, so multiply. 9.

All of the triangles have a base of 3 and a height of 2. The area equation for triangles is

[tex]A=bh\frac{1}{2}[/tex]

So base*height is 6. Divide that by 2 or multiply by 1/2.

You get 3. There are 4 triangles, so multiply that by 4. 12.

Add 12 and 9 together, and you get:

[tex]21 in^{2}[/tex]

I hope this helps!

Hello,

Probability get a Bleu marble =5/12

Probability get a Red marble =4/12

Probability get a Green marble =3/12

p(B,R)=5/12*4/12=20/144

p(R,B)=4/12*5/12=20/144

p(B,G)=5/12*3/12=15/144

p(G,B)=3/12*5/12=15/144

p(R,G)=4/12*3/12=12/144

p(G,R)=3/12*4/12=12/144

p(2 marble different colours)= 2*(20+15+12)/144=94/144=47/72

Answer:

24 m³

Step-by-step explanation:

We need to find the volume of the prism. Given that , rectangular prism with cubic units arranged in two rows of two with six total layers . And the volume of each unit is 1 m³ .

Volume of one unit :-

[tex]\rm\implies Volume_{one\ unit } = 1m^3 [/tex]

By Unitary Method :-

Volume of two cubes , will be :-

[tex]\rm\implies Volume_{two\ unit } = 2m^3 [/tex]

Volume of one layer :-

[tex]\rm\implies Volume_{one\ layer } = 4m^3 [/tex]

Volume of six layers :-

[tex]\rm\implies Volume_{6\ layers } = 4m^3\times 6 \\\\\rm\implies \boxed{\rm Volume_{6\ layers } = 24 \ m^3} [/tex]

The measure of the angle ∠R in the right-angle triangle will be 37°. Then the correct option is A.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

We know that the radius of the circle and the tangent line of the circle will intersect at the right angle which is 90°.

And the angles of the triangle will be supplementary angles. Then the equation is given as,

∠P + ∠Q + ∠R = 180°

53 + 90° + ∠R = 180°

∠R = 37°

The measure of the angle ∠R in the right-angle triangle will be 37°. Then the correct option is A.

More about the triangle link is given below.

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Answer:

x+y+3w

Step-by-step explanation:

Answer:

The expressions that give the value of y are A - 3B and (1/3)A - B

The solution is (27/13, -60/13)

Step-by-step explanation:

We can see both equation A and equation B.

Equation A: 2x + (1/4)y = 3

Equation B: (2/3)x - y = 6

To find the value of y, we have to solve both equations A and equation B simultaneously. This is done by multiplying equation B by 3 and subtracting from equation A (A - 3B) to get:

(13/4)y = -15

y = -60/13

you can also get y by dividing equation A by 3 and subtracting equation B (1/3A - B)

Put y = -60/13 in equation A to get x:

2x + (1/4)(-60/13) = 3

2x = 3 + 15/13

2x = 54/13

x = 27/13

The solution is (27/13, -60/13)

SUM OF ALL INTERIOR ANGLE = 180

[tex]y + y + 72 = 180 \\ 2y + 72 = 180 \\ 2y = 180 - 72 \\ 2y = 108 \\ y = \frac{108}{2} \\ y = \frac{ \cancel{108}^{ \: \: \: \tiny{54}} }{ \cancel{2}} \\ y = 54 \degree[/tex]

the sum of triangle is 180 :

[tex]y + y + 72 = 180 \\ 2y + 72 = 180 \\ 2y = 180 - 75 \\ 2y = 108 \\ y = \frac{108}{2} \\ y = 54[/tex]

Answer:

I don't know I don't know about question

Answer:

A

Step-by-step explanation:

Answer:

26 m is the answer to the question

Answer:

A. All men

Explanation

The probability of all men = 0.4219 while the probability of 2 women and 1 man = 0.14

The question says we have three times as much men as women

The probability it is a man that was chosen = 3/4

The probability of choosing a woman = 1/4

a. The probability that the chosen persons are all men = (3/4)³

= 0.4219

b. The probability of 2 women and 1 man

3 * 0.75 *0.25²

= 0.14

Hence the probabilities are  a. 0.4219 and b.  0.14

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Answer:

The answer is B

B) x>3

Answer:

The measure of the angle is 11 and its complement is 79 degrees

Step-by-step explanation:

Mathematically, when two angles are complementary, the sum of the angles equal 90 degrees

so now, if the first angle is x , the second angle which is increased by 68 degrees will be x + 68

So now if we add these two, the value we will get is 90 degrees

Mathematically, we have this as;

x + x + 68 = 90

2x + 68 = 90

2x = 90-68

2x = 22

x = 22/2

x = 11

the measure of the angle is 11 and its complement will be 11 + 68 = 79

Answer:

15 is 30 percent of 50 hope this helps

Answer:

600045

Step-by-step explanation:

Answer:

Hmm the answer might be 600045

Step-by-step explanation:

So what you do is that you add them up using your calculator or brain.

Answer:

Step-by-step explanation:

Answer:

roots are real and distinct

Step-by-step explanation:

To determine the nature of the roots use the discriminant , b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then roots are not real

Given

2x² - [tex]\sqrt{5}[/tex] x - 2 = 0

with a = 2, b = - [tex]\sqrt{5}[/tex] , c = - 2 , then

b² - 4ac

= (- [tex]\sqrt{5}[/tex] )² - ( 4 × 2 × - 2)

= 5 - (- 16)

= 5 + 16

= 21

Since b² - 4ac > 0 then the equation has 2 real and distinct roots

Answer:

Step-by-step explanation:

Picture this circumstance occurring within a circle. The center of the circle is where all the blades meet. That means that in terms of a circle's parts, these blades are the radii of the circle. And if they are all evenly spaced out, and there are 3 of them, the central angle in between each pair is 120 degrees (360/3). Once we know that, we can use the arc length formula for a circle which is

[tex]AL=\frac{\theta}{360}*2\pi r[/tex] and filling in:

[tex]AL=\frac{120}{360}*2(3.1415)(131)[/tex] so

AL = 274.4 feet

Answer:

5.86

Step-by-step explanation:

Answer:

x = 5.86

Step-by-step explanation:

x / 15 = cos67°

x = 15cos67°

x = 5.86