the probability of winning the shell games if you randomly pick is 1 in 3. what would be the approximate probability of winning 3 games in a row?
1.5%
3.7%
1.2%
33.3%
It’s not 1.5 or 1.2 I’ve tried those

For given triangle, the value of x =5/6.

What is a triangle's definition?

A triangle is a geometric shape that consists of three straight line segments that connect to form a closed shape. It is a polygon with three sides, three vertices (corners), and three angles. Triangles can have different shapes and sizes depending on the length of their sides and the measure of their angles.

The sum of the interior angles of a triangle is always 180 degrees. This means that the three angles of a triangle add up to 180 degrees. The size and shape of the angles can vary, however, depending on the lengths of the sides.

Now,

For given triangle

as ∠CAE=∠BAE

then,

3x+11=9x+6

9x-3x=11-6

6x=5

x=5/6

Hence,

           the value of x =5/6.

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If the saving rate is 1, it means that an individual or an economy saves their entire income and spends nothing. This implies that the consumption rate is 0, and all income is being saved.

In this scenario, the investment rate is equal to the saving rate, as there is no consumption spending. Therefore, the economy is investing all of its income in capital goods and not in consumption goods. This approach may result in high economic growth in the future due to the increased production capacity of the economy. However, in the short term, it may lead to a decrease in consumer demand and a decrease in output and employment in sectors producing consumer goods.

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Answer:

A)  2

B)  0

C)  1

Step-by-step explanation:

The weight of the chimney is approximately 2883.62 short tons.

To find the weight of the chimney, we need to calculate the volume of the frustum of the pyramid and then multiply it by the weight per cubic foot.

First, let's calculate the dimensions of the frustum of the pyramid:

Height of the frustum (h) = 186.3 ft

Side length of the upper base (a) = 10 ft

Side length of the lower base (b) = 16 ft

Next, we can calculate the side lengths of the upper and lower sections of the frustum:

Upper section side length (a1) = a = 10 ft

Lower section side length (b1) = b = 16 ft

The volume of a frustum of a regular pyramid can be calculated using the formula:

Volume = (1/3) × h × (\(a^2\) + a × a1 + a\(1^2\) + \(b^2\) + b × b1 + b\(1^2\))

Let's plug in the values:

Volume = (1/3) × 186.3 × (\(10^2\) + 10 * 10 + \(10^2\) + \(16^2\) + 16 × 10 + \(10^2\))

= (1/3) × 186.3 × (100 + 100 + 100 + 256 + 160 + 100)

= (1/3) × 186.3 × 816

= 51032.64 \(ft^2\)

Now, we can calculate the weight of the chimney by multiplying the volume by the weight per cubic foot:

Weight = Volume × Weight per cubic foot

= 51032.64 × 112.8 lb/\(ft^3\)

= 5767243.392 lb

To convert the weight to short tons, we divide it by 2000 (since there are 2000 lb in a short ton):

Weight in short tons = 5767243.392 lb / 2000

= 2883.62196 short tons (rounded to the nearest short ton)

Therefore, the weight of the chimney is approximately 2883.62 short tons.

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Answer:

1255 short tons

Step-by-step explanation:

Volume of a truncated pyramid (frustum) =

V = 1/3h(a² + b² + ab)

a = 16

b = 10

h = 186.3

V = 1/3(186.3)(16² + 10² + 16·10) = 62.1(256 + 100 + 160) = 32, 043.6

Subtract the volume of the flue:

V = 7.25 x 7.25 x 186.3 = 9792.4

V-total = 32043.6 - 9792.4 = 22,251.2

Weight = volume x density = 22,251.2 x 112.8 = 2.51 x 10⁶ lb

convert lb to short tons:

2.51 x 10⁶ lb / 2000 = 1254.97 ≈ 1255 short tons

Answer:

Answer:

y = 13

Explanation:

You want to add the like variables:

  (3x - y) = -1

+(-3x +3y) = 27

The x's cancel out:

2y = 26

Divide by 2 on both sides to get the y by itself and solve for y

y = 13

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

=> 8-12

=> -4

There were 50 blue box at total in the box.

In mathematics, a cοmbinatiοn is a way οf selecting items frοm a cοllectiοn where the οrder οf selectiοn dοes nοt matter. Suppοse we have a set οf three numbers P, Q and R. Then in hοw many ways we can select twο numbers frοm each set, is defined by cοmbinatiοn.

In smaller cases, it is pοssible tο cοunt the number οf cοmbinatiοns, but fοr the cases which have a large number οf grοup οf elements οr sets, the pοssibility οf a set οf cοmbinatiοn is alsο higher.

The bοx will be represented as (x)

From the question, we form:

White tickets = (1 - 1/10 - 1/2 - 1/4)x = 30

Blue tickets = 3/20 x = 30

Blue tickets =  = 30 x 20 / 3 = 200

Blue tickets = 1/4 x 200 = 50

Thus, There were 50 blue box at total in the box

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Answer:

Explanation:

First we evalaute g(x) at x = 3

Now we evaluate F(g(3)) by putting in g(3) = 9.

Hence,

which is our answer!

To know about the relationship between a low alpha level (a) and the power of a statistical test. If you choose a very low alpha level, close to zero, then the correct option is:

b. the test will have very low power.

When you set a very low alpha level, it means that you are being very strict about rejecting the null hypothesis, so you will need very strong evidence to do so. As a result, the chances of committing a Type II error (failing to reject a false null hypothesis) increases, which in turn decreases the power of the test. The power of a test is the probability of correctly rejecting the null hypothesis when it is indeed false.

To explain further, power is influenced by several factors, including sample size, effect size, and alpha level. A low alpha level means that the critical region is smaller, and the probability of rejecting a true null hypothesis is reduced. This, in turn, leads to a higher probability of failing to reject a false null hypothesis, resulting in low power. In contrast, a higher alpha level will increase the power of the test, but it also increases the likelihood of committing a Type I error (rejecting a true null hypothesis). Therefore, choosing the appropriate alpha level for a test is crucial to achieving the desired balance between type I and type II error rates and maximizing the power of the test.

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To know about the relationship between a low alpha level (a) and the power of a statistical test. If you choose a very low alpha level, close to zero, then the correct option is:

b. the test will have very low power.

When you set a very low alpha level, it means that you are being very strict about rejecting the null hypothesis, so you will need very strong evidence to do so. As a result, the chances of committing a Type II error (failing to reject a false null hypothesis) increases, which in turn decreases the power of the test. The power of a test is the probability of correctly rejecting the null hypothesis when it is indeed false.

To explain further, power is influenced by several factors, including sample size, effect size, and alpha level. A low alpha level means that the critical region is smaller, and the probability of rejecting a true null hypothesis is reduced. This, in turn, leads to a higher probability of failing to reject a false null hypothesis, resulting in low power. In contrast, a higher alpha level will increase the power of the test, but it also increases the likelihood of committing a Type I error (rejecting a true null hypothesis). Therefore, choosing the appropriate alpha level for a test is crucial to achieving the desired balance between type I and type II error rates and maximizing the power of the test.

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Answer:

It's most likely spposed to be 22

Step-by-step explanation:

Answer: 91.65

Part 1: You will need to find the average by adding 108, 72, and 95. This will give you 275. Now you divide the sum by the amount of numbers there are which is 3 numbers. 275/3 would be 91.6

Part 2: Now that you have all four numbers you should repeat the process, 108 + 72 + 95 + 91.6 which is 366.6 now divide by four, and you have 91.65.

Let me know if this was correct!

The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.

To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.

The money multiplier is given by the formula: MM = 1 / reserve requirement.

Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.

The initial deposit is $400.

To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:

Maximum Money Supply = Initial Deposit * Money Multiplier

= $400 * 20

= $8,000.

Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.

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Answer: 32 minutes

Step-by-step: 2-1=1

60 -30=30

30+2= 32

The given system of differential equations is:

Jx' = Ax + By

y' = Cx + Dy

To find the solution to the given system of differential equations, let's first rewrite the system in matrix form:

Jx' = A*x + B*y

y' = C*x + D*y

where

J = [-67 -210]

A = [21 66]

B = [0]

C = [0]

D = [1]

Now, let's solve the system using the initial conditions. We'll differentiate both sides of the second equation with respect to t:

y' = C*x + D*y

y'' = C*x' + D*y'

Substituting the values of C, x', and y' from the first equation, we have:

y'' = 0*x + 1*y' = y'

Now, we have a second-order ordinary differential equation for y(t):

y'' - y' = 0

This is a homogeneous linear differential equation with constant coefficients. The characteristic equation is:

r^2 - r = 0

Factoring the equation, we have:

r(r - 1) = 0

So, the solutions for r are r = 0 and r = 1.

Therefore, the general solution for y(t) is:

y(t) = c1*e^0 + c2*e^t

y(t) = c1 + c2*e^t

Now, let's solve for c1 and c2 using the initial conditions:

At t = 0, y(0) = -5:

-5 = c1 + c2*e^0

-5 = c1 + c2

At t = 0, y'(0) = 17:

17 = c2*e^0

17 = c2

From the second equation, we find that c2 = 17. Substituting this into the first equation, we get:

-5 = c1 + 17

c1 = -22

So, the particular solution for y(t) is:

y(t) = -22 + 17*e^t

Now, let's solve for x(t) using the first equation:

Jx' = A*x + B*y

Substituting the values of J, A, B, and y(t), we have:

[-67 -210] * x' = [21 66] * x + [0] * (-22 + 17*e^t)

[-67 -210] * x' = [21 66] * x - [0]

[-67 -210] * x' = [21 66] * x

Now, let's solve this system of linear equations for x(t). However, we can see that the second equation is a multiple of the first equation, so it doesn't provide any new information. Therefore, we can ignore the second equation.

Simplifying the first equation, we have:

-67 * x' - 210 * x' = 21 * x

Combining like terms:

-277 * x' = 21 * x

Dividing both sides by -277:

x' = -21/277 * x

Integrating both sides with respect to t:

∫(1/x) dx = ∫(-21/277) dt

ln|x| = (-21/277) * t + C

Taking the exponential of both sides:

|x| = e^((-21/277) * t + C)

Since x can be positive or negative, we have two cases:

Case 1: x > 0

x = e^((-21/277) * t + C)

Case 2: x < 0

x = -e^((-21/277) * t + C)

Therefore, the solution to the

given system of differential equations is:

x(t) = C1 * e^((-21/277) * t) for x > 0

x(t) = -C2 * e^((-21/277) * t) for x < 0

y(t) = -22 + 17 * e^t

where C1 and C2 are constants determined by additional initial conditions or boundary conditions.

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1.   To find scalars c1, c2, and c3 that satisfy the equation C1(1, -1, 0) + C2(3, 2, 1) + C3(0, 1, 4) = (-1, 1, 19), we can set up a system of linear equations by equating the corresponding components of both sides of the equation.

Equating the x-component: C1 + 3C2 + 0C3 = -1

Equating the y-component: -C1 + 2C2 + C3 = 1

Equating the z-component: 0C1 + C2 + 4C3 = 19

Solving this system of equations will give us the values of c1, c2, and c3 that satisfy the equation.

   Similarly, for the equation c(-1, 0, 2) + c2(2, 2, -2) + c3(1, -2, 1) = (-6, 12, 4), we set up a system of linear equations:

Equating the x-component: -c1 + 2c2 + c3 = -6

Equating the y-component: 0c1 + 2c2 - 2c3 = 12

Equating the z-component: 2c1 - 2c2 + c3 = 4

Solving this system of equations will give us the values of c1, c2, and c3 that satisfy the equation.

2.   To show that there do not exist scalars c1, c2, and c3 such that c(-2, 9, 6) + c2(-3, 2, 1) + c3(1, 7, 5) = (0, 5, 4), we again set up a system of linear equations:

Equating the x-component: -2c1 - 3c2 + c3 = 0

Equating the y-component: 9c1 + 2c2 + 7c3 = 5

Equating the z-component: 6c1 + c2 + 5c3 = 4

By solving this system of equations, we can determine if there are any solutions that satisfy the equation. If no solutions exist, then it can be concluded that there do not exist scalars c1, c2, and c3 that satisfy the equation.

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Answer:

  30 ft

Step-by-step explanation:

The given scale can be multiplied by a suitable factor to make the corrsponding measurement match known values:

  1 in : 3 ft = (drawing measure) : (actual measure)

Multiplying by 10 makes the drawing measure match the given value:

  10 in : 30 ft = (drawing width) : (actual width)

The actual deck is 30 ft wide.

A) we would send Order A to Factory 3.

B) we would send both Order B and Order C to Factory 3.

B 7,000 Factory 3

C 30,000 Factory 3

Total number of units produced for the company today: 37,000

Average cost per unit for all production today: $9.00

To make decisions about which factory to send the orders to on Monday and Tuesday, we need to compare the costs per unit for each factory and consider the total number of units to be produced. Let's go through each day's scenario and make the production decisions.

a) Monday: Order A for 15,000 units

To decide which factory to send the order to, we compare the costs per unit for each factory. We select the factory with the lowest cost per unit to minimize the average cost per unit for the company.

Let's assume the costs per unit for each factory are as follows:

Factory 1: $10 per unit

Factory 2: $12 per unit

Factory 3: $9 per unit

To calculate the total cost for each factory, we multiply the cost per unit by the number of units:

Factory 1: $10 * 15,000 = $150,000

Factory 2: $12 * 15,000 = $180,000

Factory 3: $9 * 15,000 = $135,000

Based on the calculations, Factory 3 has the lowest total cost for producing 15,000 units, with a total cost of $135,000. Therefore, we would send Order A to Factory 3.

b) Tuesday: Order B for 7,000 units and Order C for 30,000 units

We have two options: sending each order to a separate factory or sending both orders to the same factory. We need to compare the average cost per unit for each option and select the one that results in the lowest average cost per unit.

Let's assume the costs per unit for each factory remain the same as in the previous example. We will calculate the average cost per unit for each option:

Option 1: Sending orders to separate factories

For Order B (7,000 units):

Average cost per unit = ($10 * 7,000) / 7,000 = $10

For Order C (30,000 units):

Average cost per unit = ($9 * 30,000) / 30,000 = $9

Total number of units produced for the company today = 7,000 + 30,000 = 37,000

Average cost per unit for all production today = ($10 * 7,000 + $9 * 30,000) / 37,000 = $9.43 (rounded to two decimal places)

Option 2: Sending both orders to the same factory (Factory 3)

For Orders B and C (37,000 units):

Average cost per unit = ($9 * 37,000) / 37,000 = $9

Comparing the two options, we see that both options have the same average cost per unit of $9. However, sending both orders to Factory 3 simplifies the production process by consolidating the orders in one factory. Therefore, we would send both Order B and Order C to Factory 3.

Production Report for Tuesday:

Order # of Units Factory

B   7,000      Factory 3

C  30,000    Factory 3

Total number of units produced for the company today: 37,000

Average cost per unit for all production today: $9.00

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Answer/Step-by-step explanation:

-4r - 7 + 10r = -7 + 6r

6r - 7 = -7 + 6r

    +7    +7

6r = 6r

This equation is true

All real numbers (-∞, ∞)

I hope this helps!

Answer:

41

Step-by-step explanation:

I would appreciate it  if you marked me brainliest :)

The given expression 656 + (-615) when simplified its value will be equal to 41.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

When two whole numbers are added together, the total quantity or sum of those values is obtained.

The given expression of addition can be simplified as shown.

656 + (-615)

= 656 - 615

= 41

Hence, the given expression 656 + (-615) when simplified its value will be equal to 41.

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Answer:

E the base equation shifts to the right to five unit from the midpoint

Answer: i cant see the answers

Step-by-step explanation:

Answer:

the first, second, third, fourth, and fifth, answers apply to this graph

Step-by-step explanation:

The graph is a constant line from 7-10 minutes (a 3 minute break)

After the first five minutes on the graph there is a great increase in his speed. (he covered more of the race in that time up until the 7th minute)

It is true he only had one mile left - this can be shown by his graph stopping at the 4th mile on the 15th minute

there is a slow but gradual increase in his speed as he covered more of the race in the first five minutes

At the 7th minute mark he is at mile 3 - there are 4 miles to the race

_______________________________

The last one is NOT true because he has another increase in the graph at the 11th minute mark.

Answer:

-8/9 yw

Step-by-step explanation:

just divide the numbers by each other:D

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Here's the solution :

The ratio of change in the area of a rectangle, given that the length has increased in the ratio 3:2 and the width has reduced in the ratio 4:5 and the ratio of change in the area of the rectangle is 1.2, indicating a 20% increase in the area from the original size.

Let's calculate the new length and width of the rectangle. The original length is 18 cm, and it has increased in the ratio 3:2. So, the new length can be calculated as (18 cm) * (3/2) = 27 cm. Similarly, the original width is 15 cm, and it has reduced in the ratio 4:5. Hence, the new width can be calculated as (15 cm) * (4/5) = 12 cm.

The original area of the rectangle is (18 cm) * (15 cm) = 270 cm². The new area is (27 cm) * (12 cm) = 324 cm². Therefore, the ratio of change in the area can be calculated as (324 cm²) / (270 cm²) = 1.2.

Hence, the ratio of change in the area of the rectangle is 1.2, indicating a 20% increase in the area from the original size.

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The 95% confidence interval for the true population mean age of Camden County College students is (22.8, 25.2) years.

To calculate a confidence interval for the true population mean, we can use the t-distribution and the t-interval function on a TI 83 or TI 84 calculator.

The t-distribution is a distribution of values that are used to estimate the mean of a population when the standard deviation of the population is unknown and the sample size is small (typically n < 30). The t-interval function on a TI 83 or TI 84 calculator calculates a confidence interval for the mean of a population based on a sample of data, using the t-distribution to account for the uncertainty due to sampling error.

To use the t-interval function on a TI 83 or TI 84 calculator to calculate a 95% confidence interval for the true population means the age of Camden County College students, we need to enter the following values:

The sample mean (24 years)

The sample size (21 students)

The standard deviation of the sample (4 years)

The confidence level (95%)

The t-interval function will then calculate the 95% confidence interval for the true population mean age, which in this case is (22.8, 25.2) years. This means that we can be 95% confident that the true population means the age of Camden County College students is within this range.

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Answer:

A=2

Step-by-step explanation:

Answer:

A=2(wl+hl+hw)

This is the formula but what is the prism you want the area for.

Answer:

.2%

.6%

40.25%

Step-by-step explanation:

There are 100 blocks in a grid so a complete grid is 100 %

a 2/10 out of 1 block is shaded

2/10  out of 100

.2 out of 100

out of 100 means percent

.2 %

b 3/5 out of 1 block is shaded

6/10 out of 100

.6 out of 100

out of 100 means percent

.6%

c 40 /100 + 1/4  out of 1 block

40% + .25 %

40.25%

Answer:one is three up 2 to the side and the other is 2 up three to the side

Step-by-step explanation:

Answer:

for 2,3: on y, 2 goes two up. on x, 3 to the right. for 3,2: on y it goes 3 up. on x, only two to the right

Step-by-step explanation:

hope this helps :)

Answer:

c. 125.6

Step-by-step explanation:

Pi= 3.14

r= d/2 = 40/2 = 20

\(2\pi \: r\)

= 2 × 3.14 × 20

=125.6

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

<95141404393>

The value of x assuming e that segments that appear to be tangent are tangent is 8

The triangle inside the circle is right angles since the side length "x" is tangential to the circle.

To determine the value of "x", we will use the Pythagorean theorem as shown:

17^2 = x^2 + 15^2

289 = x^2 - 225
x^2 = 289 - 225
x^2 = 64

x = 8

Hence the value of x assuming e that segments that appear to be tangent are tangent is 8

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Answer:

Step-by-step explanation:

The equation relating x, y, and z is:

z = 0.5 * x * y.

In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.

To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.

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