find theoretical probability of the given event when rolling 16 sided game piece P(16)

The central angle of Bathing = 108 degrees.

In the given pie chart,

Since we know,

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.

The whole circle is 360 degrees

which represents 100%.

It is given that,

Bathing = 30%

So have need to find 30% of 360 degrees.

Therefore,

Bathing = (30/100)x360

            =  (30/10) x 36

            = 3x36

            = 108

Hence,

The central angle = 108 degrees.

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The complete question is:

To the nearest degree, what is the measure of the central angle for bathing?

Answer:

12

Step-by-step explanation:

a2 b

(    )2 (  )

(–2)2 (3)

(4)(3)

Answer:

The given probability of Delta mishandling a bag is 1.35 per 1,000 passengers. This means the probability of not mishandling a bag is 1 - 1.35/1000 = 0.99865.

The probability of no mishandled bags in the next 1,000 passengers is:

P(no mishandled bags) = (0.99865)^1000 ≈ 0.716

The probability of at least one mishandled bag in the next 1,000 passengers is the complement of no mishandled bags:

P(at least one mishandled bag) = 1 - P(no mishandled bags) ≈ 0.284

To find the probability of at least two mishandled bags, we can use the binomial distribution formula:

P(at least two mishandled bags) = 1 - P(0 mishandled bags) - P(1 mishandled bag)

where P(0 mishandled bags) and P(1 mishandled bag) can be calculated using the binomial probability formula:

P(k successes in n trials) = (n choose k) * p^k * (1-p)^(n-k)

where n is the number of trials, k is the number of successes, p is the probability of success, and (n choose k) is the binomial coefficient.

For P(0 mishandled bags), we have n = 1000, k = 0, and p = 0.00135:

P(0 mishandled bags) = (1000 choose 0) * 0.00135^0 * 0.99865^1000 ≈ 0.716

For P(1 mishandled bag), we have n = 1000, k = 1, and p = 0.00135:

P(1 mishandled bag) = (1000 choose 1) * 0.00135^1 * 0.99865^999 ≈ 0.242

Therefore,

P(at least two mishandled bags) = 1 - 0.716 - 0.242 ≈ 0.042

AC²=BC²-AB² => AC²=13²-5²=169-25=144 <=> AC=√144=12

Answer:

Step-by-step explanation:

In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."

The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:

Introduction to Variables and Expressions:

Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.

Solving One-Step Equations:

Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.

Solving Two-Step Equations:

Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.

Writing and Graphing Linear Equations:

Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.

Systems of Linear Equations:

Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.

Word Problems and Applications:

Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.

The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.

By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.

Answer:

4(m+3+5m)=

4(6m+3)

factor out the three

4x3(2m+1)

12(2m+1)

Step-by-step explanation:

4(m+3+5m)=

4(6m+3)

factor out the three

4x3(2m+1)

12(2m+1)

Answer:

D. x + 1

Step-by-step explanation:

The expression\( \frac{x^2+3x+2}{x+2} \) can be simplified as follows:

\(x^2 + 3x + 2 \)

Doing middle term factorisation

\(= x^2+(2+1)x+2\)

\(=x^2+2x+1x+2\)

\(=(x + 2)(x + 1)\)

Again

Dividing both side by x+2.

\(\frac{x^2 + 3x + 2}{x + 2} = \frac{(x + 2)(x + 1)}{x + 2}\)

we get

\(\frac{x^2 + 3x + 2}{x + 2}= x + 1\)

Therefore, the expression

\(\frac{x^2+3x+2}{x+2}\) is equivalent to D. x + 1.

Note that the expression is only equivalent to x + 1 when x is not equal to -2. If x = -2, then the expression is undefined.

Answer:

x=-3, y=-4, z=-5

X=-3

Y=-4

Z=-5

//Happy to Help\\

Answer:

Paige is incorrect.  g(x) has a steeper slope

Step-by-step explanation:

The slope for f(x)  is

m =( y2-y1)/(x2-x1)

   = (17/2 - 5/2) / ( -1 - -6)

    = (17/2 - 5/2) / ( -1 +6)

    = (12/2)/5

    = 6/5

The slope for g(x)  is

m =( y2-y1)/(x2-x1)

   = (-1 - 13/3) / ( 6 - 2)

    =(-3/3 -13/3) / (6-2)

    (-16/3)/4

     -16/3 * 1/4

   - 4/3

Comparing the magnitudes

|6/5|   |-4/3|

|6/5*3/3|     |-4/3*5/5|

|18/15|           |20/15|

|20/15| is greater so it has a steeper slope

g(x) has a steeper slope

Answer:

H0:μ=18, Ha:μ<18

H0:μ=11.3, Ha:μ<11.3

H0:μ=3.7, Ha:μ<3.7

Step-by-step explanation:

A left tailed test is a type of test usually taken from the alternative hypothesis that includes only one of either the less than or greater than options and not both.

A left tailed test corresponds with the less than option and in this case study, the left tailed test are:

H0:μ=18, Ha:μ<18

H0:μ=11.3, Ha:μ<11.3

H0:μ=3.7, Ha:μ<3.7

Answer:

5

Step-by-step explanation:

The first says 4 and 4

They added 4 to the previous cumulative, which was nothing and thru got the cumulative of 4+0=4

The second says 10 and 14

Same thing. Adding 10 to the previous cumulative, which was 4, you get 4+10=14

Let's follow the rules for this next one

We have ? and 19

Adding ? to the previous cumulative, which was 14, you get 14+?=19

Making ? = 5 because that what 19-14 is

Answer:

(0,2)

(3,0)

Step-by-step explanation:

Domain: 8, 9, 10, 11.Range: -7, 7 This relation does not represent a function because the same x-value (8, 10, 11) is associated with more than one y-value (-7, 7).

Domain: 8, 9, 10, 11

Range: -7, 7

A function is a relation between a set of inputs and a set of outputs such that each input is associated with exactly one output. This particular relation fails to meet this condition because the domain value 8 is associated with two different range values (-7 and 7). In other words, the same input (8) is associated with two different outputs, which means the relation does not represent a function. The domain of the relation is 8, 9, 10, 11 and the range is -7 and 7. Therefore, this relation does not represent a function because it violates the condition that each input must have one and only one associated output.

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Cada kilogramo de la mezcla contiene 0.25 kilogramos de café chiapaneco y 0.75 kilogramos de café veracruzano.

El costo total de la bolsa de café se determina mediante una media ponderada:

\(C = x\cdot C_{C}+(1-x)\cdot C_{V}\) (1)

Donde:

Debemos despejar la proporción másica:

\(C = C_{V} + x\cdot (C_{C}-C_{V})\)

\(x = \frac{C-C_{V}}{C_{C}-C_{V}}\)

Si sabemos que \(C = 25.50\), \(C_{C} = 30\) y \(C_{V} = 24\), entonces la proporción másica es:

\(x = \frac{25.50-24}{30-24}\)

\(x = 0.25\)

En otras palabras, cada kilogramo de la mezcla contiene 0.25 kilogramos de café chiapaneco y 0.75 kilogramos de café veracruzano.

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if the area of a circle is 36.2 square inches, the radius of the circle to the nearest tenth is 3.4 inches.

The area of a circle is 36.2 square inches and we have to determine the radius of the circle to the nearest tenth.

The formula of the area of the circle is given as:

Area of circle = πR², where R is the radius of the circle.

We are given, Area of the circle = 36.2 square inches

So, πR² = 36.2 square inches

Now, π = 3.14

3.14R² = 36.2 square inches

R² = 36.2/3.14

R² = 11.53

Taking square root on both sides

R = √11.53

R = 3.39 inches

R ≈ 3.4 inch (Rounded to the nearest tenth)

Hence, the radius of the circle to the nearest tenth is 3.4 inches.

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Answer:

m= 1/8

Step-by-step explanation:

(-8,-8) (8,-6)

Use formula to calculate slope.

(y2-y1)/ (x2-x1)

Plug in coordinate point for x and y.

(-6-(-8))/(8-(-8))= 2/16= 1/8

Therefore, using the multiplier formula, a $525,000,000 increase in RGDP would result in a total increase in spending of $2,625,000,000.

To use the multiplier formula, we need to know the marginal propensity to consume (MPC), which is the fraction of each additional dollar of income that is spent on consumption.

The multiplier formula is: Multiplier = 1 / (1 - MPC)

If we assume an MPC of 0.8 (meaning that for every additional dollar of income, 80 cents are spent on consumption), the multiplier would be:

Multiplier = 1 / (1 - 0.8) = 5

So, if the change in Real Gross Domestic Product (RGDP) is $525,000,000, the total increase in spending (including consumption, investment, government spending, and net exports) would be:

Total spending increase = Multiplier x RGDP change

Total spending increase = 5 x $525,000,000

Total spending increase = $2,625,000,000

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Opposite angles inscribed in a cyclic quadrilateral are supplementary, so:

\(m\angle R+m\angle T=180^{\circ}\\\\m\angle R+47^{\circ}=180^{\circ}\\\\m\angle R=\boxed{133^{\circ}}\)

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

The equations for the vertical and horizontal lines passing through the point (8,3) are respectively, x = 8 & y = 3

A straight line's equation is a relationship between its x and y coordinates, and it is written as y = mx + c, where m is the line's slope and c is its y-intercept.

When the y-coordinate changes by 1, the vertical line's x-coordinate changes by an infinite amount, giving it an undefined slope. x = constant is how the equation for a vertical line is expressed.

The equation is x = 8 because the constant for the vertical line through the point (8,3) is 8.

A horizontal line has a slope of 0, meaning its y-coordinate changes by 0 for a change of 1 in the x-coordinate. The equation for a horizontal line can be formed as:

y = mx + b

where b is the y-intercept and m is the slope. To find the equation of the horizontal line passing through the point (8,3), we can substitute the point into the equation and solve for b:

3 = 0 x 8 + b

b =  3

So the equation of the horizontal line passing through the point (8,3) is:

y = 0x + 3

y = 3

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The Solution for the given system of equations is (-2) and \((\frac{5}{3})\).

The given are linear equations as follow:
y = \(\frac{2}{3}x\) + 3              .. ... ...(1)
and x  = -2.          .. .... ...(2)

We already know the first part of the solution (x) which is -2.  We can find the other part (y) by putting the value of equation (2) in equation (1).

By putting the values of x in equation (1), we get

y = \((\frac{2}{3})(-2)\) + 3
y = \(\frac{-4}{3}\) + 3

Taking the L. C. M of denominators which will be '3', we get:

y = \(\frac{-4 + 9}{3}\)

y = \(\frac{5}{3}\)

So the second part (y) of the solution of the given equation is \(\frac{5}{3}\).

Hence, the overall solution to the given system of equation is \((-2, \frac{5}{3})\).

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Answer:

n = -12

Step-by-step explanation:

- n/3 - 7 = -3

        +7     +7     (You add 7 on both sides to isolate the variable term)

-n/3 = -3 + 7

-n/3 = 4

  *-3    *-3    (You mult both sides by -3 and you’ll have the value for n)

n = -12

The statement about the image below that is true is option A. Line UR and Line VW are parallel.

Parallel lines are two lines that are always the same distance apart and never meet, regardless of how far they are extended.

A perpendicular line, on the other hand, is a line that intersects another line at a right angle (90 degrees)

Therefore, the statement about the image below that is true is option A. Line UR and Line VW are parallel. It could then be concluded that the correct answer is option A.

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The complete question goes thus:

Which of the following statements about the image below is true?

A. Line UR and Line VW are parallel.

B. The measure of angle SWX is 72°

C. Line UR and Line VS are perpendicular..

D. Angle SWR and angle WRS are supplementary.

My own multi-step combination problem is given below:

To solve this problem, Amanda  need to use the formula for combinations and it is:

nCr = n! / (r! x (n-r)!)

where:

n = total number of items to select from

r is the number of items to select.

First, we have to calculate the number of ways to select 3 fruit from 5, hence it will be:

5C3

=  5! / (3! x (5-3)!)

= 10

Next, we have to calculate the number of ways to select 2 meatpie from 4 and it will be

4C2

= 4! / (2! x  (4-2)!)

= 6

Lastly,, we need to calculate the number of ways to select 2 desserts from 3 and it will be:

3C2

= 3! / (2! x  (3-2)!)

= 3

To have the total number of dinner menus, we have to multiply these three numbers together:

= 10 x 6 x 3

= 180

Therefore, one can say that Amanda have 180 different dinner menus that she can be create.

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Answer:

\(2.065 \times 10^{15}\)

Step-by-step explanation:

\((3.5 \times 10^{2})(5.9 \times 10^{12}) \\ \\ =(3.5)(5.9)(10^{14}) \\ \\ =20.65(10^{14}) \\ \\ =2.065 \times 10^{15}\)

Answer:

SSbetween treatments

Step-by-step explanation:

SSbetween treatments or Sum of square between treatments is used to measure and compare the mean differences between treatments from which the variance will be computed.

Answer:

17900m^2

Step-by-step explanation:

Area of the figure =(110×80+1/2×70×260)m^2

=(8800+9100)m^2

=17900m^2