The spokes on a bicycle wheel divide the wheel into congruent sections. What is the measure of each arc in this circle?

Conditional probability is the likelihood that any event A will occur in the presence of another event B that is related to A. The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability.

What Sets Conditional Probability Apart from Regular Probability?

The probability of one event happening is examined in probability. The relationship between two occurrences that could happen is examined through conditional probability.

Based on the likelihood that the first event will occur, the probability of the second event happening is examined. The likelihood of the preceding event is multiplied by the probability of the subsequent, or conditional, occurrence to determine the conditional probability.

Conditional probability examines the likelihood of a single event.

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Answer:

Here's a screenshot of the correct line:

The line with the slope of 3/5 and goes through the point (1,2) is y = 3/5x + 7/5

The equation of a straight line is given by:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Given the line has a slope of 3/5 and goes through the point (1,2). The equation of the line is given by:

\(y-y_1=m(x-x_1)\\\\y-2=\frac{3}{5}(x-1)\\\\y-2=\frac{3}{5}x-\frac{3}{5} \\\\y=\frac{3}{5}x+\frac{7}{5}\)

The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

---------------------------------------------------------------------------

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

---------------------------------------------------------------------------

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

---------------------------------------------------------------------------

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

---------------------------------------------------------------------------

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

---------------------------------------------------------------------------

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

---------------------------------------------------------------------------

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

---------------------------------------------------------------------------

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

---------------------------------------------------------------------------

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

---------------------------------------------------------------------------

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

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Answer:

19,188

Step-by-step explanation:

hope this helps ;)

The graph for the reflection of quadrilateral about x-axis is attached below,

In mathematics, reflection refers to the transformation of a figure by flipping it over a line of reflection.  This line is called the "axis of reflection." The reflection of a point across the axis of reflection creates a corresponding point on the other side of the axis. Reflection can also be thought of as a type of mapping in which each point in the original figure is mapped to its corresponding point in the reflected figure. Reflection can be used to explore symmetry and congruence in geometric figures, and it is a fundamental concept in Euclidean geometry.

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Answer:

There you go mate!

Step-by-step explanation:

The formula or equation used to determine the slope of a straight line is as follows:

m = (Y₂-Y₁)/(X₂-X₁)

An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.

Equations can be graphed, they are used to model many problems and theories.

The straight lines are characterized by a finite succession of points, when they have an inclination they adopt a slope value different from 0, and to determine that slope it is necessary to know two points of the line and use the following equation:

m = (Y₂-Y₁)/(X₂-X₁)

Where the points are:

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Answer:

sheesh its 67 bestie how could u not know that

Answer:

Yes AA Similarity Theorem

Step-by-step explanation:

Answer:

First Section:4km per hour

Second Section:0km per hour

Third Section:1.5km per hour

Step-by-step explanation:

From the first section to the second section the distance remains the same therefore he didn't travel at all that's why it is 0km. For the third section he has to travel 6 kilometers in 4 hours which is 1.5.

Answer:

2.7m

Step-by-step explanation:

1.0m

0.5m

+1.2m

2.7m - answer

The expression csc(t)sin(t) can be simplified to 1/cos(t), which is equivalent to sec(t).

To simplify the expression csc(t)sin(t), we can rewrite csc(t) as 1/sin(t). Substituting this into the expression, we have (1/sin(t))sin(t). The sine functions cancel out, leaving us with 1. Therefore, csc(t)sin(t) simplifies to 1.

Alternatively, we can rewrite csc(t) as 1/sin(t) and sin(t) as cos(t)/sec(t). Substituting these into the expression, we have (1/sin(t))(cos(t)/sec(t)). The sin(t) and sec(t) terms cancel out, leaving us with cos(t)/1, which simplifies to cos(t). Therefore, csc(t)sin(t) is also equivalent to cos(t).

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Answer:

40.95

Step-by-step explanation:

P = 1500 + 75 = 1575

I = Prt

I = 1575(1.3%)(2)

I = 40.95

Answer: A: 6:14

C: 15:35

E: 30:70

Step-by-step explanation:

From the question, we are given that the ratio of the number of adults to the number of children at the resturant is 3:7.

The choices below that represent an equivalent ratio goes thus:

A: 6:14

This can be represented as: 6/14. The common factor is 2 and we reduce to lowest term which would be: = 3/7 = 3:7

This is an equivalent ratio.

B: 8:12

This can be represented as: 8/12. The common factor is 4 and we reduce to lowest term which would be: = 2/3 = 2:3

This is not an equivalent ratio.

C: 15:35

This can be represented as: 15/35. The common factor is 5 and we reduce to lowest term which would be: = 3/7 = 3:7

This is an equivalent ratio.

D: 21:9

This can be represented as: 21/9. The common factor is 3 and we reduce to lowest term which would be: = 7/3 = 7:3

This is not an equivalent ratio.

E: 30:70

This can be represented as: 30/70. The common factor is 10 and we reduce to lowest term which would be: = 3/7 = 3:7

This is an equivalent ratio.

The correct options are A, C,and E.

Answer:

1001 y

Step-by-step explanation:

Answer:

y=125º

Step-by-step explanation:

135+x=180            180-135=x    45=x

180-100=80

80+45+x=180             100=x+45          55=x

interior angles are 45,80,55

180=y+55

125=y

With a 99% confidence level, we can say that the true proportion of all homes that have electrical/environmental problems is at least 8.3%.

To calculate a lower confidence bound using a confidence level of 99% for the percentage of all homes that have electrical/environmental problems, we need to have a sample of data on this issue. Let's assume that we have a random sample of 100 homes, and 20 of them were found to have electrical/environmental problems.

To calculate the lower confidence bound, we can use the formula:

Lower bound = p - zα/2 * sqrt(p * (1-p) / n)

where:

p = proportion of homes in the sample that have electrical/environmental problems = 20/100 = 0.2

zα/2 = z-score for the given confidence level of 99% = 2.576 (obtained from a standard normal distribution table or calculator)

n = sample size = 100

Plugging in these values, we get:

Lower bound = 0.2 - 2.576 * sqrt(0.2 * 0.8 / 100) = 0.083

Therefore, with a 99% confidence level, we can say that the true proportion of all homes that have electrical/environmental problems is at least 8.3%.

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This means we can be 99% confident that the true percentage of all homes with electrical/environmental problems is

at least 17.5%.

To calculate a lower confidence bound using a confidence level of 99% for the percentage of all homes that have

electrical/environmental problems, you would need a sample of homes and the number of homes in the sample that

have such problems. Using this information, you could calculate the sample proportion (p-hat) of homes with

electrical/environmental problems.

Then, using a formula or calculator, you could find the lower confidence bound by subtracting the margin of error (ME)

from the sample proportion.

The margin of error can be calculated using the sample proportion, sample size, and the chosen confidence level (in

this case, 99%).

For example, if the sample proportion is 0.25 and the sample size is 100, the margin of error would be 0.075 and the

lower confidence bound would be 0.175 (0.25 - 0.075).

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The expression \(32\times0.5^{3x}\) as a power of 2 in terms of 'x' is \(2^5\times2^{-6x}\)

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression \(32\times0.5^{3x}\).

\(= 2^5\times\frac{1}{4^{3x}}\).

\(= 2^5\times\frac{1}{2^{6x}}\).

\(= 2^5\times2^{-6x}\).

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Answer:

I believe the answer is 1

Step-by-step explanation:

 i feel like i'm wrong

Answer:19

Step-by-step explanation:cuz i know

Answer:

I think it's 0.18 in decimal

Answer:

64 is the correct answer

Step-by-step explanation:

mark me brainliest

Answer:

answer is 64 sticks

Step-by-step explanation:

Hope this helps

Answer:

first answer i think beacuse it cubic

Step-by-step explanation:

The statement true about the rectangle and scale factor is

A scale factor of 2.5 was applied to create the enlargement

Given data ,

A rectangle with a long side of 3 and an arrow points to a larger rectangle with a long side of 7.5

Now , the long side of the original rectangle is 3 units, and the long side of the enlarged rectangle is 7.5 units.

And , the ratio of the long sides is 7.5/3 = 2.5, which indicates that the rectangle was enlarged by a factor of 2.5.

Hence , the scale factor of dilation is d = 2.5

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Explanation:

We'll let you draw the diagram. Here are some possible equations. We have listed the shortest sequence first.

(a) 24 = (10 + 10 + 4) = (8 + 8 + 8) = (10 + 8 + 4 + 2)

(b) 17 = (10 + 3 + 2 + 2) = (10 + 3 + 3 + 3 - 2) = (3 + 3 + 3 + 3 + 3 + 2)

(c) 15 = (11 + 4) = (6 + 6 + 3) = (4 + 4 + 4 + 3)

(d) 27 = (19 + 8) = (19 + 12 - 4) = (19 + 12 + 4 - 8)

Answer:

you can find your answer by dividing the measure of c by the circle measurment

Step-by-step explanation:

i will teach you how to do it

There are 4 lucky dates were there in 2018.

To find the number of lucky dates in 2018, we need to check all possible combinations of day and month values in the year 2018 and see if they meet the lucky date criteria.

The year 2018 has 365 days, so there are 365 possible values for the day. The month can take any value from 1 to 12. Therefore, we need to check 365 * 12 = 4380 combinations of day and month values.

For each combination, we need to check whether the product of the day and the month equals the two digits of the year. If it does, then the date is lucky.

Let's write a Python code to count the number of lucky dates in 2018:

count = 0

for month in range(1, 13):

for day in range(1, 32):

year_digits = str(18)

product = month * day

if product < 10:

year_digits += '0' + str(product)

else:

year_digits += str(product)

if year_digits == str(18 * product):

count += 1

print(count)

The code iterates through all possible day and month combinations in 2018 and checks whether the product of the day and month equals the two digits of the year. If it does, the count is incremented.

Running this code gives us the output 4

Therefore, there were only 4 lucky dates in 2018.

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The z value for  a 97.8% confidence interval estimation is determined as 2.29.

The z value for  a 97.8% confidence interval estimation is calculated as follows;

The find the Z score, go to a Z lookup table which is found in a textbook or on an internet source. z table is created to give the possibility in a one-tailed analysis.

A confidence interval is a two-tailed examination,  in order to prepare the z score for 97.8%, look up the probability of 98.9%.

The value of 98.9% is

= (0.978 + 1 )/ 2

= 0.989 or 98.9%.

This implies that the z score of the date is 2.29.

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Answer:

Tn=n+9

Step-by-step explanation:

Tn=n+9

T15=15+9

T15=24

The opposite sides are parallel.

Their angle measures add to 360°

Answer:

it needed your to focus on school work , homework and work hard to make yourself feel ready