When two six-sided dice
are rolled, the set of outcomes is shown in the table below. Each particular combination of results for the light and dark colored dice is equally-likely to occur if the dice are "fair".

If two dice are rolled, what is the probability that the second die shows a number less than the first die?

Answer:

3, 9, 15, 21

Step-by-step explanation:

6n-3

n = 1: 6(1) - 3 = 3

n = 2: 6(2) - 3 = 9

n = 3: 6(3) - 3 = 15

n = 4: 6(4) - 3 = 21

Answer:

Downloading 28 songs will cost $26.64.

Step-by-step explanation:

Given that a brand-new music service is offering specials on individual song downloads, and the cost is $ 0.74 for each song up to 20 songs per month, and the cost doubles to $ 1.48 per download for any number of downloads over 20, to determine how much would it cost to download 28 songs the following calculation should be performed:

(20 x 0.74) + (8 x 1.48) = X

14.8 + 11.84 = X

26.64 = X

Therefore, downloading 28 songs will cost $ 26.64.

Answer is 128 cubic inches

The volume of the given box is 64 inch³

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The length, width, and height of a rectangular box are multiplied to get its volume.

As a result, the following formula may be used to determine the volume of an 8 inches by 4 inches by 2 inches rectangular box:

Volume is calculated using the formula LWH.

Volume is =8 * 4 * 2 inches.

64 cubic inches is the volume.

The rectangular box measures 8 by 4 by 2 inches and thus has a volume of 64 cubic inches.

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Answer:

x=4

Step-by-step explanation:

The two angles together are complementary, which means they add up to 90 degrees

solving for x:

9x+4x+38=90

9x+4x=13x

13x+38=90

13x+38-38=90-38

13x=90-38

13x=52

x=4

hope this helps ^D^

Answer:

9x=4x+38

5x=38

x=38/5

Step-by-step explanation:

Answer: B

Step-by-step explanation:

108 divide by 54 = 2

That equation means she paid 2 dollars per ticket, not 1 dollar for 2 tickets

(There is no 1 in the equation also)

Answer:

74,611,399

Step-by-step explanation:

Percentage of obese children and adolescent = 19.3%

19.3% = 14.4 million

The overall number of children and adolescent equals a total percentage of 100%

Hence,

If 19.3 % = 14.4 million

100% = x

Cross multiply :

19.3% x = 100% * 14.4 million

0.193x = 14400000

x = 14400000 / 0.193

x = 74611398.964

Total number of children and adolescent = 74,611,399

Answer:

The probability that Jones is lying is 6/7

Step-by-step explanation:

First we will list out 2 different cases when the outcome is a lie

1.probability that Jones tells lies is = 0.6 and probability that dalgiliesh analyses it correctly is 0.8

So the probability that dagliesh correctly analyses that he is telling lies is 0.8*0.6=0.48

2.Probability that Jones tells truth is 0.4 and if dagliesh analyses it incorrectly (which has a probability of 0.2) the outcome(as analysed by dagiliesh) is a lie

So probability that dagliesh analyses Jones truth as a lie is 0.2*.0.4=0.08

Total probability of outcome being a lie is 0.48+0.08=0.56

But we need the probability of Jones actually saying a lie which is nothing but 0.48/0.56= 6/7

Answer:

$32.40

Step-by-step explanation:

45% = 0.45

72(0.45) = 32.4

Based on the amount Kristian had and the percentage spent on the game, the price of the game is $32.40.

The price of the game can be found as:

= Amount Kristian has x Percentage spent on game

Solving gives:

= 45% x 72

= $32.40

In conclusion, the price of the game is $32.40.

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Answer:

Step-by-step explanation:

Terminal points of vector u has been given as (4, 0), (9, 4).

Therefore, vector u can be represented by,

[tex]\vec{u}=\vec{u_2}-\vec{u_1}[/tex]

[tex]\vec{u}=(9i+4j)-(4i)[/tex]

[tex]\vec{u}=5i+4j[/tex]

And the magnitude of the vector u will be,

|| u || = [tex]\sqrt{5^2+4^2}[/tex]

       = [tex]\sqrt{41}[/tex]

Slope of vector passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is defined by the expression,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of vector u will be,

Slope = [tex]\frac{4-0}{9-4}[/tex]

          = [tex]\frac{4}{5}[/tex]

Similarly, terminal points of vector v are (-7, 1) and (3, 9).

So the vector v will be,

[tex]\vec{v}=(3i+9j)-(-7i+1j)[/tex]

[tex]\vec{v}=(3i+7i)+(9j-1j)[/tex]

[tex]\vec{v}=10i+8j[/tex]

Therefore, magnitude of vector v will be,

|| v || = [tex]\sqrt{10^2+8^2}[/tex]

        = [tex]\sqrt{164}[/tex]

        = [tex]2\sqrt{41}[/tex]

Slope of vector v = [tex]\frac{9-1}{3+7}[/tex]

                             = [tex]\frac{8}{10}[/tex]

                             = [tex]\frac{4}{5}[/tex]

Answer:

Point C

Point A is located at (3, 2)

Point B is located at (2, 2)

Point C is located at (2, 3)

Point D is located at (3, 3)

Answer:

There are 64 cubes

The volume = L*W*H

Answer:

=

5

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

Answer:

It would be (3+2)+4=9

Step-by-step explanation:

you just have to switch to numbers.

Answer:

WT=63

Step-by-step explanation:

[tex] \frac{56}{5 \times x + 3} = \frac{40}{4 \times x - 3} \\ x = 12[/tex]

So

[tex]5 \times x + 3 = 5 \times 12 + 3 = 63[/tex]

Answer:

Surface area = 24in

Step-by-step explanation:

I think its 6in x 4in

so like since the green cylinder is 6in i think you multiply it with the purple (sorry if I’m wrong)

Answer:

[tex]y=-\frac{2}{3}x+6[/tex]

Step-by-step explanation:

Let the equation of the line representing the given table is,

y = mx + b

Here, m = slope of the line

b = y-intercept

From the given table,

Since, slope of the line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through (3, 4) and (4, [tex]\frac{10}{3}[/tex]) will be,

m = [tex]\frac{4-\frac{10}{3} }{3-4}[/tex]

   = [tex]\frac{\frac{12-10}{3}}{3-4}[/tex]

   = [tex]-\frac{2}{3}[/tex]

Therefore, equation of the line will be,

[tex]y=-\frac{2}{3}x+b[/tex]

Since, this line passes through a point [tex](1, \frac{16}{3})[/tex],

By satisfying the equation with the given point,

[tex]\frac{16}{3}=-\frac{2}{3}(1)+b[/tex]

[tex]b=\frac{16}{3}+\frac{2}{3}[/tex]

[tex]b=\frac{18}{3}[/tex]

[tex]b=6[/tex]

Therefore, equation of the line will be,

[tex]y=-\frac{2}{3}x+6[/tex]

Answer:

probably g

Step-by-step explanation:

Answer: the y-intercept is (0,3)

Step-by-step explanation:

the y-intercept is (0,3)

Answer:

c

Step-by-step explanation:

The true statement is (d) The expected height of 160 cm when the femur length has a length of 42.5 cm

From the given figure, we have:

So, when the y value is 160, the x value is:

The expected height of 160 cm when the femur length has a length of 42.5 cm

Hence, the true statement is (d)

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Answer:

k  = 54

Step-by-step explanation:

6 = [tex]\frac{k}{9}[/tex]

multiply both sides by 9 to isolate k

=> k  = 54

Answer:

k = 54

Step-by-step explanation:

[tex]6 = \frac{k}{9}[/tex]

Multiply both sides by 9:

9(6) = k

k = 54

Answer:

x = 12

Step-by-step explanation:

<CED = 180 - (9x-8)

= 180 - 9x +8

= 188 - 9x

Angle sum of triangle is 180

.'. (5x-10) + (50) + (180 - 9x +8) = 180

5x -10 + 50 + 188 -9x = 180

-4x = 180 + 10 - 50 - 188

-4x = -48

4x = 48

x = 12

Answer:

Number 2. Any circle can be mapped onto another circle by dilation then translation is FALSE

Step-by-step explanation:

I'm just gonna so you how I got it

Step-by-step explanation:

6x - 3y - 5 = 0 has slope 6/3 = 2. A perpendicular line will have slope -1/2 (since slopes of two perpendicular lines must have a product of -1), so its general form will be 3x + 6y - a = 0.

Now to find a. We know a point on the line, (4,10), and so we plug those coordinates in:

3*4 + 6*10 - a = 0

12 + 60 - a = 0

72 = a

3x + 6y - 72 = 0.

We can simplify this by dividing all numbers by 3, getting:

x + 2y - 24 = 0

Answer:

2 2 + 3 − 5 4

Step-by-step explanation: