An experiment consists of rolling two fair number cubes. The diagram shows the sample space of all equally likely outcomes. What is the probability of rolling two 3's? Express your answer as a fraction in simplest form.

Answer:

Do you have a pic of the problem?

Step-by-step explanation:

Only then, can i really edit this and provide an acurate answer...

pls & thx.

Answer:

O f(x) = -x-1

Step-by-step explanation:

We want to isolate the 'y' variable, so we will subtract 7 from both sides.

y = x + 6 - 7

y = x -1

The value of linear function represents the line given by the point-slope equation y + 7 = (x + 6) is,

⇒ y = x - 1

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

the point-slope equation is,

y + 7=(x + 6)

Hence, We get;

y + 7=(x + 6)

y = x + 6 - 7

y = x - 1

Thus, The value of linear function represents the line given by the point-slope equation y + 7 = (x + 6) is,

⇒ y = x - 1

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a)The equation involving dx/dt and dp/dt (2x + 5p)dx/dt + (5x + 10)dp/dt + 5x(dp/dt) = 0

b)The rate of change of demand (dx/dt) is 2. The demand is changing at a rate of 2 units per month.

a) To find an equation involving dx/dt and dp/dt using implicit differentiation,  differentiate both sides of the equation with respect to t, treating x and p as functions of t.

Differentiating the equation d(x² + 5px + 10p) = 220 with respect to t:

2x(dx/dt) + 5p(dx/dt) + 5x(dp/dt) + 10(dp/dt) = 0

Rearranging the terms and factoring out dx/dt and dp/dt:

(2x + 5p)dx/dt + (5x + 10)dp/dt = -5x(dp/dt)

b) We are given that the price is decreasing at a rate of $1 per month when the price is $2 and the demand is 10. Let's denote dp/dt as the rate of change of price and dx/dt as the rate of change of demand.

Given:

dp/dt = -1 (since the price is decreasing at a rate of $1 per month)

p = 2 (price is $2)

x = 10 (demand is 10)

Substituting these values into the equation derived in part (a):

(2x + 5p)dx/dt + (5x + 10)dp/dt + 5x(dp/dt) = 0

(2(10) + 5(2))dx/dt + (5(10) + 10)(-1) + 5(10)(-1) = 0

(20 + 10)dx/dt + (50 + 10)(-1) + 50(-1) = 0

30dx/dt - 60 = 0

30dx/dt = 60

dx/dt = 60/30

dx/dt = 2

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Answer:

220462262.18488

Step-by-step explanation:

1. 2204622621.8488/10 = 220462262.18488

Answer:

option A , x=75

Step-by-step explanation:

35+70+x=180(angle sum property of a triangle)

105+x=180

x=180-105

x=75

Hope it helps you !

Answer:

a. 75°

I hope you can know this answer

The general solution of the associated homogeneous differential equation \(y'' + 2y' + 2y = 0\) is given by

             \(y_h = c₁ e^(-x) cos(x) + c₂ e^(-x) sin(x)\)

We can use the method of undetermined coefficients or variation of parameters to find y_p, depending on the form of g(x).

For each of problems 4 through 9, we need to find the general solution of the given differential equation.

Problem:

             \(4y'' + 4y' + 13y = 0\)

By solving the auxiliary equation \(r² + 4r + 13 = 0,\)

we get

         \(r = -2 + 3i, -2 - 3i.\)

Hence, the general solution is

          \(y = c₁ e^(-2x) cos(3x) + c₂ e^(-2x) sin(3x)\)

Problem: \(5y'' + 4y' + 3y = 0\)

By solving the auxiliary equation \(r² + 4r + 3 = 0,\)

we get

          \(r = -2 + √1, -2 - √1.\)

Hence, the general solution is

     \(y = c₁ e^(-x) + c₂ e^(-3x)\)

Problem \(6y'' + y = 0\)

By solving the auxiliary equation \(r² + 1 = 0\),

we get

             r = -i, i.

Hence, the general solution is

           \(y = c₁ cos(x) + c₂ sin(x)\)

Problem\(7y'' - 3y' - 4y = 0\)

By solving the auxiliary equation \(r² - 3r - 4 = 0\),

we get

  r = 4, -1.

Hence, the general solution is

            \(y = c₁ e^(4x) + c₂ e^(-x)\)

Problem \(8y'' + 3y' + 2y = 0\)

By solving the auxiliary equation \(r² + 3r + 2 = 0,\)

we get

              r = -1, -2.

Hence, the general solution is

                  \(y = c₁ e^(-x) + c₂ e^(-2x)\)

Problem:

               \(9y'' + 2y' + 2y = g(x)\)

This is a non-homogeneous differential equation.

The general solution of the associated homogeneous differential equation \(y'' + 2y' + 2y = 0\) is given by

       \(y_h = c₁ e^(-x) cos(x) + c₂ e^(-x) sin(x)\)

For the non-homogeneous equation, the general solution is given by

      \(y = y_h + y_p\)

Where y_p is any particular solution of the non-homogeneous differential equation.

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Answer:

A.Yes B.Yes C.No D.Yes E.No F.No

Step-by-step explanation:

10% of 84 is 8.4 and 84-8.4=76.6 and anything between 76.6-84 could have been the estimate.

Answer:

Add and Divide.

Mean = 84

Step-by-step explanation:

Mean ( math word) and average (common usage word) tell us to ADD up the numbers in the list of data and DIVIDE by the number of pieces of data.

Here we add:

(80 + 84 + 88)

then divide by 3, because there's 3 numbers in this list.

(80 + 84 + 88)/3

= 252/3

= 84

The mean, or average is 84.

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

The research proposal focuses on investigating the determinants of the sustainability of small and medium-sized enterprises (SMEs) in Soweto. The research objectives are to determine the sustainability of SMEs, identify the factors that contribute to their sustainability, and provide practical recommendations to enhance their sustainability.

1.1 The research proposal addresses the "what" by examining the determinants of SME sustainability in Soweto. It focuses on "who" by targeting owner-managers of SMEs in Soweto. The "why" is to understand the factors that influence SME sustainability. The "where" is in Soweto, South Africa, and the "when" refers to the time period during which the research will be conducted.

1.2 The aim of the proposed study is to explore and analyze the determinants of sustainability for small and medium-sized enterprises in Soweto, with the ultimate goal of providing practical recommendations to enhance their sustainability.

1.3 Three research questions for the proposed study could be:

What are the key indicators of sustainability for SMEs in Soweto?

What factors contribute to the sustainability of SMEs in Soweto?

How can owner-managers of SMEs in Soweto improve the sustainability of their businesses?

1.4 An appropriate research design for the proposed study could be a mixed-methods approach. This design would involve both quantitative and qualitative data collection and analysis methods. Quantitative data could be collected through surveys or questionnaires to measure indicators of sustainability and assess the relationship between various factors. Qualitative data could be collected through interviews or focus groups to gain a deeper understanding of the experiences and perspectives of owner-managers. The mixed-methods approach would provide a comprehensive and holistic understanding of the determinants of SME sustainability in Soweto and enable practical recommendations to be formulated based on both quantitative and qualitative insights.

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The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

To solve this problem, we can use the formula for the volume of a hexagonal prism:

V = (3√3/2) * a^2 * h

where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.

We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:

98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95

Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:

A = (3√3/2) * a^2

where A is the area of one of the bases. Plugging in the value we found for a, we get:

A = (3√3/2) * (2.95)^2
A ≈ 7.39

Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

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Answer:

m∠5 + m∠6 =180°

m∠2 + m∠3 = m∠6

m∠2 + m∠3 + m∠5 = 180°

Step-by-step explanation:

m∠5 + m∠6 are linear pairs, so their sum has to be 180°.

m∠2 + m∠3 = m∠6 because of the exterior angle theorem, which states that the measure of an exterior angle is equal to the sum of the two opposite interior angles. (using this logic, m∠1 equals the sum of m∠5 and m∠3, and m∠4 equals the sum of m∠2 and m∠2).

m∠2 + m∠3 + m∠5 = 180° because the triangle sum property says that the sum of a triangle's interior angles will equal 180°.

Answer:

120

Step-by-step explanation:

If Kara earns 3 times as many points completing the next level than she earned the previous level, to find how many points she earned at level 3, triple the amount of points earned in level 2, which is 9.

9 × 3 = 27

We can confirm this is the correct value by multiplt 27 by 3 to see if it equals 81, which it ineed does.

To find how many points she scored in all, find the sum by adding all of the points together.

3 + 9 + 27 + 81 = 120

She scores 120 points in all.

hope this helps!

The solution of the system of equation 1 / 4 x + 1 1 / 2 y = 5 / 8, 3 / 4 x - 1 1 / 2 y = 3 3 / 8 is (4, -1 / 4).

The system of equation can be solved as follows;

We will use elimination method to solve the system of equation as follows:

Therefore,

1 / 4 x + 1 1 / 2 y = 5 / 8

3 / 4 x - 1 1 / 2 y = 3 3 / 8

add the equations

3 / 4 x + 1 / 4x = 27 / 8 + 5 / 8

4/ 4 x =  27 + 5/ 8

x = 32 / 8

x = 4

Therefore,

1 / 4 (4) + 1 1 / 2 y = 5 / 8

3 / 2 y = 5 / 8 - 1

3 / 2 y =  5 - 8/ 8

3 / 2 y = - 3 / 8

-6 = 24y

y = - 6 / 24

y =  - 1 / 4

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Answer:

\( x = 75\degree\)

Step-by-step explanation:

Answer:

skewed right

Step-by-step explanation:

It is skewed to the right.  There are 6 entries for 11. No other number comes close to the amount. 12 has 1 entry and 13 is the end of the graph. This definitely favors the right hand side.

Answer:

D

Step-by-step explanation:

It starts above the ground (at Henry's height) and ends above the ground (in the bush).

The percent increase in players from last year to this year = 20%

We know that the formula for the percentage change a quantity is :

(P) = [Final value - Initial value] / Initial value x 100

Here, a baseball team had 80 players show up for tryouts last year and this year 96 show up for tryouts.

initial number of players = 80

current number of players = 96

So, using above formula the percent increase in players is:

P = [(96 - 80) / (80)] x 100

P = (16 / 80) x 100

P = 0.20 x 100

P = 20%

Therefore, the percentage of increase in players =  20%.

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answer:

4.6 kilograms of pears

question:

I don't know if you meant 2.5 or 25 but ill assume you meant 2.5

The 30th term a30 of the sequence is -1445

The definition of the function is given as

arithmetic sequence of 1,-4,-9,-14

The above definitions imply that we simply subtract 5 from the previous term to get the current term

Using the above as a guide,

so, we have the following representation

First term, a = 1

Common difference, d = 5

An arithmetic sequence is represented as

a(n) = a + (n - 1)d

For the 30th term, we have

a(30) = a + 29d

So, we have

a(30) = 1 + 29 * -5

Evaluate

a(30) = -144

Hence, the value of a30 is -144

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Answer:

55

Step-by-step explanation:

we have 342 students, subtract 12 because we need only kids riding the bus, now we have 330 kids, we divide the 330 kids between 6 buses 330/6, our answer is 55.

Answer:

x = 52

Step-by-step explanation:

∡RQS = 180 - (90 + 34)

∡RQS = 56°

∡PQS + ∡RQS = 180°

∡PQS = x + 72

x + 72 + 56 = 180

x + 128 = 180

x = 52

The solution to the systems of equations graphically is (2, 4)

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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The given Expression is equal to 18 - 2x

An Expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation

Given an Expression, 4x - 2(3x -9)

= 4x - 6x + 18

= -2x + 18

= 18 - 2x

Hence, the required Expression is 18 - 2x

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Answer:

-2 6/7

Step-by-step explanation:

I hope that helps.

The probability that at least one of them has been vaccinated is 0.9552

Probability:

Probability defines the possible occurrence of any particular required event.

Given,

Here we need to find in a large population, 54 % of the people have been vaccinated. if 4 people are randomly selected, what is the probability that at least one of them has been vaccinated.

Here we have to know that,

The situation where at least one out of 4 are vaccinated includes all but one possibility, that which none of the 4 are vaccinated.

The sum of all probabilities must equal 1.

Let Q be probability none of the 4 are vaccinated.

Let P be probability that at least 1 is vaccinated.

Then the probability is calculated as,

P = 1 - Q

Now if 54% are vaccinated, then 46% are not vaccinated.

Thus any given person has a probability of 0.46 of not being vaccinated.

=> Q = (0.46)⁴

=> Q = 0.0448

Then apply the value to the formula,

=> P = 1 - 0.0448

=> P = 0.9552

Therefore, the probability that at least one of them has been vaccinated 0.9552.

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Answer: D and F

Step-by-step explanation:

Answer: The slope is 5/6

Answer:

5/6

Step-by-step explanation: