Question content area top
Part 1
A​ 12-sided die is rolled. The set of equally likely outcomes is​ {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number greater than 12 .

Answer:

8(n+4)

Step-by-step explanation:

Answer: 9 g

Step-by-step explanation:

There are 5 nonfiction books for every 9 fiction books. so we understand the the rate of nonfiction to fiction is: 5 : 9

We are asked to find how many nonfiction books are there if there are 117 fiction ones.

So we use the following proportion applying the rate we know of nonfiction/fiction:

5 / 9 = x /117

where we represented with "x" the number of nonfiction books we need to find.

We solve for that "x" by multiplying both sides by 117:

5 * 117 / 9 = x

then x = 65

Then, there are 65 nonfiction books to shelve.

Answer:

D ). (-7,-4)

Step-by-step explanation:

To locate the position or the location of the centre of the circle we have to bear in mind that the center of the circle is the midpoint of the diameter line.

Formula for midpoint of a line is given below

Midpoint= (X1+x2)/2 ,(y1+y2)/2

Where X1= -2,y1= -3

X2= -12, y2= -5

The midpoint= (-2+(-12))/2,(-3+(-5))/2

Midpoint= (-2-12)/2,(-3-5)/2

Midpoint= (-14)/2,(-8)/2

Midpoint=( -7,-4)

The center of the circle is located at the point (-7,-4)

Answer:

The answer is 3.

16/4=4

8/4=2

12/4=3

Answer:

a. K

b. KL and JK

c. ∠JKL, ∠LKJ, and ∠K

d. obtuse

hope this helps!

\(-2x+6=12\\2x=-6\\x=-3\)

The length of the apothem of the pentagon is approximately 11 meters.

Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons etc.

Here, we have,

To solve this problem, we can use the formula for the area of a regular pentagon:

A = (5/2) × s × a

Where A is the area of the pentagon, s is the length of one side, and a is the apothem (the distance from the center of the pentagon to the midpoint of a side).

We know that the area of the pentagon is 118.25 square meters and the length of one side is 4.3 meters. We can substitute these values into the formula and solve for the apothem:

118.25 = (5/2) × 4.3 × a

Divide both sides by (5/2) x 4.3:

a = 118.25 / ((5/2) × 4.3)

 = 118.25 / 10.75 ≈ 11 meters

Therefore, the length of the apothem of the pentagon is approximately 11 meters.

Learn more about polygon here:

brainly.com/question/24464711

#SPJ1

The rate of change of the line that contains the given points is 0.75 or 3/4.

To determine the rate of change of the line that contains the given points, we can calculate the slope of the line.

The slope represents the rate of change between any two points on a line.

Using the formula for slope (m) between two points (x₁, y₁) and (x₂, y₂):

m = (y₂ - y₁) / (x₂ - x₁)

Let's calculate the slope using the given points (-4, -7), (0, -4), and (8, 2):

For the points (-4, -7) and (0, -4):

m₁ = (-4 - (-7)) / (0 - (-4))

= (-4 + 7) / (0 + 4)

= 3 / 4

= 0.75

For the points (0, -4) and (8, 2):

m₂ = (2 - (-4)) / (8 - 0)

= (2 + 4) / 8

= 6 / 8

= 0.75

The slope is the same for both pairs of points, which means the line is a straight line and has a constant rate of change.

For similar questions on rate

https://brainly.com/question/25720319

#SPJ11

Answer:

the answer is 2.828 or 99/35

Step-by-step explanation:

we convert -3.3 to fraction

-33/10*-6/7

we multiply

198/70

2.8285

2.83

Answer:

D

Step-by-step explanation:

use the sine or cosine ratio in the right triangle.

using the sine ratio and the exact value

sin45° = \(\frac{\sqrt{2} }{2}\) , then

sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{4}\) = \(\frac{\sqrt{2} }{2}\) ( cross- multiply )

2x = 4\(\sqrt{2}\) ( divide both sides by 2 )

x = 2\(\sqrt{2}\)

The value of x is 2√2.

Hence the correct option is D.

Given that a right triangle with acute angles 45° each, and hypotenuse is 4 units,

we need to find the length of the perpendicular,

In a right triangle, the length of the perpendicular (also known as the altitude) can be found using trigonometric ratios.

In this case, since we have an angle of 45°, we can use the sine or cosine function.

Let's use the sine function to find the length of the perpendicular:

sin(45°) = opposite / hypotenuse

sin(45°) = perpendicular / 4

1/√2 = perpendicular / 4

perpendicular = 4/√2

perpendicular = 2√2

Hence the value of x is 2√2.

Learn more about trigonometric ratios click;

https://brainly.com/question/23130410

#SPJ2

Answer:

−16k^2−20k−6

There is ur answer

Answer:

The projected world population in 2015 was 8,705,121,030 people.

Step-by-step explanation:

Given that the population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year, assuming that the world population follows an exponential growth model, to find the projected world population in 2015 the following calculation must be performed :

5,000,000,000 x 1.02 ^ (2015-1987) = X

5,000,000,000 x 1.02 ^ 28 = X

5,000,000,000 x 1.741024 = X

8,705,121,030 = X

Therefore, the projected world population in 2015 was 8,705,121,030 people.

Answer: a: divide by 3 on both sides

B: add 3 to both sides

C: multiply by -3 on both sides

D: divide by -3 on both sides

E: add 1/3 to both sides

F: subtract 3 from both sides

G: multiply by 3 on both sides

H: subtract 1/3 from both sides.

Step-by-step explanation:

Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

Answer:

x = 14

Step-by-step explanation:

(5x - 19)° and (9x + 3)° are the measures of the interior angles on the same side of the transversal.

Therefore,

(5x - 19)° + (9x + 3)° = 180°

(5x - 19 + 9x + 3)° = 180°

(14x - 16)° = 180°

14x - 16 = 180

14x = 180 + 16

14x = 196

x = 196/14

x = 14

Using a system of equations, the rental cost for a movie and a video game is as follows:

A system of equations is two or more equations solved concurrently or at the same time.

A system of equations is also described as simultaneous equations.

                                  Movies   Video     Total

                                                Games    Cost

First month rental           3          5          $32

Second month rental    12          2          $29

Let the rental cost per movie = x

Let the rental cost per video game = y

3x + 5y = 32 ... Equation 1

12x + 2y = 29 ... Equation 2

Multiply Equation 1 by 4:

12x + 20y = 128 ... Equation 3

Subtract Equation 2 from Equation 3:

12x + 20y = 128

-

12x + 2y = 29

18y = 99

y = 5.5

Substitute y = 5.5 in Equation 1 or 2:

12x + 2y = 29

12x + 2(5.5) = 29

12x + 11 = 29

12x = 18

x = 1.5

Thus, based on simultaneous equations, the rental cost for a movie is $1.50 while a video game's is $5.50.

Learn more about simultaneous equations at https://brainly.com/question/16863577.

#SPJ1

Answer:

yes it is true

if a > b

then adding c to both sides

a + c > b + c

both c will be cancelled out with each other

so again we get a> b

Answer:

B, C, and D are true. 0.15price is 15% subtracted, 0.85 is with 15% subtracted, 420.75 is the sale price calculated.

The radian measure for 315° is (7/4)π radians.

What exactly is a radian measure?

Radian measure is a unit of measurement for angles, where one radian is defined as the central angle subtended by an arc of a circle with a length equal to the radius of the circle. Therefore, to convert degrees to radians, we need to multiply the degree measure by pi/180.

Now,

To convert 315 degrees to radians, we can use the formula:

radians = degrees x π/180

So, we have:

radians = 315 x π/180

Simplifying this expression, we get:

radians = (7/4) x π

Therefore,

             315 degrees is equal to (7/4) π radians.

To know more about radian measure visit the link

https://brainly.com/question/7721249

#SPJ1

The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

Answer:

R = (0,-8)

Step-by-step explanation:

Let's look at the difference between S, and the midpoint M.

S(6,0) - M(3,-4) = N(3,4) This will help us find R(x,y)

Next, take M, and subtract N from it.

M(3,-4) - N(3,4) = (0,-8). This is the value of R.

Answer:

The measure of its complementary angle is 3.

Step-by-step explanation:

Answer:

x = - 6, x = 6

Step-by-step explanation:

\( \frac{9}{x} = \frac{x}{4} \\ \\ x \times x = 9 \times 4 \\ \\ {x}^{2} = 36 \\ \\ x = \pm\sqrt{36} \\ \\ x = \pm 6 \\ \\ x = - 6, \: \: x = 6\)

The investment with compound interest earns a greater amount of interest by $486.12 compared to the investment with simple interest.

To determine which investment earns a greater amount of interest, we need to calculate the interest earned in both scenarios and compare the results.

1. Simple Interest:

The formula for simple interest is given by: I = P * r * t, where I is the interest, P is the principal amount, r is the interest rate, and t is the time period.

Using this formula, we can calculate the interest earned with simple interest:

I = 100,000 * 0.03 * 4

I = $12,000

2. Compound Interest:

The formula for compound interest is given by: A = P * (1 + r/n)^(n*t), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the time period.

In this case, the interest is compounded annually, so n = 1. Let's calculate the amount earned:

A = 100,000 * (1 + 0.03/1)^(1*4)

A = 100,000 * (1.03)^4

A = $112,486.12

The interest earned in the compound interest scenario is A - P = $112,486.12 - $100,000 = $12,486.12.

The difference between the amounts of interest earned by the two investments is:

$12,486.12 - $12,000 = $486.12.

For more such questions on investment

https://brainly.com/question/29227456

#SPJ8

The area οf the actual bridge deck in square feet is 1,280 square feet.

Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.

The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).

The dimensiοns οf the scaled bridge deck in feet are:

24 inches = 2 feet

4 and 4/5 inches = 0.4 feet

Sο, the area οf the scaled bridge deck in square feet is:

2 feet x 0.4 feet = 0.8 square feet

Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:

Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet

Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.

To learn more about Area from the given link

https://brainly.com/question/25292087

#SPJ1

Answer:

Step-by-step explanation:

The scale factor indicates the actual bridge is 40 times larger than the drawing.

Increase the scale dimensions by the factor of 40.

24 times 40 = 960"

4.8 times 40 = 192" (I changed 4 4/5 to 4.8)

Area = length times width

960 times 192 = 184320 sq inches actual bridge deck in square inches

Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet

Answer:

V ≈ 615.75

r Radius 7

h Height 4

A standard six-sided die has a 1/6 probability of landing on any specific number, including a six. Therefore, in 120 rolls, you would statistically expect 20 sixes (120 rolls * 1/6).

Obtaining only 2 sixes is significantly lower than this expectation.

However, to formally determine if this difference is statistically significant, you would need to perform a statistical test, such as a chi-square goodness-of-fit test or a binomial test.

These tests would take into account the variability inherent in random processes. Without performing such a test, it is not definitively possible to claim statistical significance, but the observed result is indeed unusual given the expected probabilities.

Read more about probabilities here:

https://brainly.com/question/13604758
#SPJ1

Bruce and Felicia would have a unique solution to the given equation. The value of x that satisfies the equation is 15.

To determine if the equation 6x + 2 = 5x + 17 has a unique solution, we need to check if the variable x has a consistent value that satisfies the equation.

By simplifying the equation, we can see that the equation becomes:

6x - 5x = 17 - 2

Simplifying further, we have:

x = 15

Since the variable x has a specific value, in this case, x = 15, the equation does have a unique solution. When x is substituted with 15 in the equation, both sides are equal.

For more such questions on equation.

https://brainly.com/question/29174899

#SPJ8