Does this table represent a direct variation?

A compound event is any event combining two or more simple events.

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

combining two or more simple events.

As a general rule

When two or more simple events are combined, the result is a compound event

An example is selecting 1 in a die and head in a coin

This means that the statement that completes the blank is compound event

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Answer:

5:30

Step-by-step explanation:

Important info:

watch television from 5 o clock until Half Past.

Question to Answer:

How long did you watch.

Note:

Half of 1 Hour = 30 Minutes

Solution:

5:30

Therefore You watch television until 5:30

Answer:

2.55

Step-by-step explanation:

To find the radius, the formula is:

R = C/2 x pi

pi = 3.14

16/(2 x 3.14) = 2.54648

= 2.55

The radius of the cylinder is 10 cm if the volume of a cylinder is  1600π cubic cm.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

\(\rm V = \pi r^2 h\)

We have V = 1600π cubic cm

h = 16 cm

\(\rm 1600\pi = \pi r^2 (16)\)

r = 10 cm

Thus, the radius of the cylinder is 10 cm if the volume of a cylinder is  1600π cubic cm.

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Answer:

1432.57cm²

Step-by-step explanation:

Answer:

For the diagram shown, select the angle pair that represents each angle type.

Corresponding angles

✔ D. angle 7 and angle 3

Alternate exterior angles

✔ C. angle 12  and angle 5

Alternate interior angles

✔ D. angle 2 and angle 11

Vertical angles

✔ C. angle 7  and angle 6

Step-by-step explanation: cus I did it on Edge 2021 and these were the answer...just trust me :)

The pdf of the kth order statistic X(k) can be found using the formula: f(k)(x) = n!/[ (k-1)! (n-k)! ] * [ F(x) ]^(k-1) * [ 1-F(x) ]^(n-k) * f(x) where F(x) is the cdf of the uniform distribution on [0,8] and f(x) is the pdf of the uniform distribution, which is 1/8 for x in [0,8]. The expected value of X is 4.

Using this formula, we can find the pdf of X(k) for any k between 1 and n.

For the expected value of X, we can use the formula:

E[X] = ∫₀⁸ x * f(x) dx

Since X is uniformly distributed on [0,8], the pdf f(x) is constant over this interval, equal to 1/8. Therefore, we have:

E[X] = ∫₀⁸ x * (1/8) dx = 1/16 * x^2 |_₀⁸ = 4

So the expected value of X is 4.

Regarding the hint given, it seems to be unrelated to the problem at hand and does not provide any additional information for solving it.

Let X1, X2, ..., Xn denote independent and uniformly distributed random variables on the interval [0, 8]. To find the pdf of the kth order statistic, X(k), where k is an integer between 1 to n, we can use the following formula:

pdf of X(k) = (n! / [(k-1)! * (n-k)!]) * (x^(k-1) * (8-x)^(n-k)) / (8^n)

For the expected value E[X(k)], we can use the provided hint:

∫(x * pdf of X(k)) dx from 0 to 8 = ∫[x * (n! / [(k-1)! * (n-k)!]) * (x^(k-1) * (8-x)^(n-k)) / (8^n)] dx from 0 to 8

The hint suggests that the integral can be simplified using a gamma function Γ(a+) with unknown parameters a and β:

∫(x^4-4 * (1 - x)^β-1) dx = Γ(a)(β)

To find E[X(k)], solve the integral with the appropriate parameters for a and β.

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First let's find how many kilometers the jeep traveled, by subtracting the odometer readings:

Now, to find the miles per gallon, we just need to divide the kilometers by the amount of gallons of gasoline:

So Harry got 17.8 miles per gallon with the Jeep.

We need to find the derivative which is the rate of change

So, when x is infinite, the function g(x) has the greatest rate of change

Answer:

1) 100 degrees F

2) 50 degrees F

Step-by-step explanation:

its just simple subtraction

Answer:

Step-by-step explanation:

-42

Answer:

she works 50 hours for that week

Step-by-step explanation:

She is paid $18 per hour and received a bonus of $125 per bonus for the first week . she claims her compensation for the first week should be $1025 . The number of hour she worked base on her claim can be calculated below.

Let

the number of hours she worked = a. Therefore,

18a + 125 = 1025

18a = 1025 - 125

18a = 900

divide both sides by 18

a = 900/18

a = 50

she works 50 hours for that week

The total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

In the given power system depicted in Figure 1, there are three units that are always running. Each unit has specific characteristics regarding their minimum power output (Pmin), maximum power output (Pmax), and incremental cost (Ci). Let's discuss the characteristics of each unit and calculate the total cost of power generation for a given load demand.

Unit 1:

Pmin = 200 MW

Pmax = 500 MW

Ci = $50/MWh

Unit 2:

Pmin = 150 MW

Pmax = 400 MW

Ci = $40/MWh

Unit 3:

Pmin = 100 MW

Pmax = 300 MW

Ci = $30/MWh

To calculate the total cost of power generation for a given load demand, we need to determine the optimal power output for each unit. We start by considering the units with the lowest incremental cost first.

Suppose the load demand is D MW. We allocate the load demand to the units as follows:

Step 1: Check if Unit 1 can meet the load demand within its power range. If yes, allocate the load demand to Unit 1 and calculate the cost:

Cost1 = Ci * P1, where P1 is the power output of Unit 1.

Step 2: If there is still remaining load demand, allocate it to Unit 2:

Cost2 = Ci * P2, where P2 is the power output of Unit 2.

Step 3: If there is still remaining load demand, allocate it to Unit 3:

Cost3 = Ci * P3, where P3 is the power output of Unit 3.

Finally, the total cost of power generation, Cost_total, is the sum of Cost1, Cost2, and Cost3:

Cost_total = Cost1 + Cost2 + Cost3

To find the optimal power output for each unit, we consider the load demand and compare it to the minimum and maximum power output limits for each unit. The power allocation is based on meeting the load demand while minimizing the overall cost of power generation.

In summary, given the characteristics of the three units in the power system (Pmin, Pmax, and Ci), the total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

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DNE in each coordinate of the ordered triplet are y is -7 , DNE ,y is-2.

1.) 2+3 = y + 12

Make y the formula's subject after adding the LHS.

5 = y + 12

Y = 5 - 12

Y = - 7

The answer to the equation is -7

2.) 2 + 13 = 1 +8

The equation cannot have a solution since there is no unknown variable and the sum of the numbers on the left hand side (LHS) does not equal the sum of the numbers on the right hand side (RHS).

3.) y - 7 = 2 - 11

RHS is added, and y is become the formula's subject.

Y - 7 = -9

Y = -9 + 7

Y = -2

The equation's answer is -2.

The complete question is:Solve the following system of equations. If there is no solution, write DNE in each coordinate of theordered triplet. If there are an infinite number of solution, write each coordinate in terms of z.2+3 = y + 12

2 + 13 = 1 +8

y - 7 = 2 - 11

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Answer:

like 1000 maybe?

I think that's like a tough estimate

Answer:

4,930

Step-by-step explanation:

38 x 4.99= 189.62

since there are about 26 weeks in 6 months-

189.62 x 26 = 4,930.12

Answer:

16.6

Step-by-step explanation:

The rectangle has an area of 105. It's width is 7.

1: Find the length

     \(\frac{area}{width}\)=length

     \(\frac{105}{7}\)= 15

      Length=15

2: Pythagorean theorem

      \(a^{2} +b^2=c^2\)

       \(7^{2}\)+\(15^2=c^2\)

       49+225=\(c^2\)

        275=\(c^2\)

         \(\sqrt{275}\) = \(\sqrt{c^2\\}\)

          16.55≈c

           Rounded to nearest tenth

              16.6

The transitive closure of {a,b,c,d,e} is option A which is {(a, c), (b, d), (c, a), (d, b), (e, d)}.

In mathematics, the transitive closure of a paired connection R on a set X is the littlest connection on X that contains R and is transitive. For limited sets, "smallest" can be taken in its standard sense, of having the least related matches; for boundless sets, it is the unique minimal transitive superset of R. Hence the transitive closure of {a,b,c,d,e} is option A which is {(a, c), (b, d), (c, a), (d, b), (e, d)}.

The reflexive closure of {a,b,c,d,e} is {(a,a),(a,e),(b,a),(b,b),(b,d),(c,c),(c,d),(d,a),(d,c),(d,d),(e,a),(e,b),(e,c),(e,e)}

as reflexive closure is the union of relation R and the identity relation on set so{ (a, a),(b,b),(c,c),(d,d),(e,e)} U {R} will result in {(a, a),(a,e),(b, a),(b,b),(b,d),(c,c),(c,d),(d, a),(d,c),(d,d),(e, a),(e,b),(e,c),(e,e)}

Symmetric closure will be the union of relation R and the inverse of relation R so the symmetric closure will be

{(a,e),(b,a),(a,b),(b,d),(d,b),(c,d),(d,c),(d,a),(a,d),(e,b),(b,e),(e,c),(c,e),(e,e)}.

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Answer: my best guess is… (a, b, c, d, e}

Step-by-step explanation: I hope this helps<3

Answer:

5x

Step-by-step explanation:

2+3=5 with the variable

Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

The equation of the line passing through these points i.e (7,3 ) and (14,6) is

y = (3/7) x or 3x - 7y = 0 ,

Which is linear equation of two variables.

A linear equation is an algebraic equation of the form y = mx + b , with only one constant and one first-order (linear) term, m is the slope and b is the y-intercept.

We have given that,

the ratio of y and x is y : x = 3 : 7

So the ratio of x and y can be expressed as ,

x : y = 7 : 3 ( reverse order)

So let's consider two points as

(x₁, y₁)=(7 , 3) and (x₂, y₂) = (14 , 6)

The equation of the line passing through these points will be,

( y - y₁ )/ (y₂ - y₁) = (x - x₁)/(x₂ - x₁)

=> (y - 3)/(6-3) = (x - 7)/(14 - 7)

=> (y - 3)/3 = (x - 7)/7

=> 7(y - 3) = 3( x - 7)

=> 7y - 21 = 3x - 21

=> 7y = 3x

=> y = (3/7) x

Hence, y = (3/7) x is required equation of line.

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Answer:

Step-by-step explanation:

With this the probabiitiy is high. In saying that look at 3 that is your answer. So that answer would be mostly 0.100. Hope this helps

The missing number of the series is 21.

The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.

Using this pattern, we can determine the missing number in the sequence.

0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55

Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.

Therefore, the completed sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.

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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.

To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.

The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:

Therefore, the missing number in the sequence is 21.

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Answer:

Step-by-step explanation:

Went is the correct answer

Answer:

( 5x + 1 ) ( x - 4 )

Step-by-step explanation:

5x² - 19x - 4

= 5x² + x - 20x - 4

= x ( 5x + 1 ) - 4 ( 5x + 1 )

= ( 5x + 1 ) ( x - 4 )

Hence, factorized.

Answer:

925 full marks

Step-by-step explanation:

350 + 20 = 370 marks required to pass

370 / 0.40 = 925 full marks

Answer:

\(r = \sqrt{ {(6 - 2)}^{2} + {(1 - ( - 3))}^{2} } \)

\(r = \sqrt{ {4}^{2} + {4}^{2} } = \sqrt{16 + 16} = \sqrt{32} \)

So the equation of the circle is

\( {(x - 2)}^{2} + {(y + 3)}^{2} = 32\)

Answer:

Step-by-step explanation:

Answer:

sweet god yes it is unless she 12 feet tall then no

Step-by-step explanation:

Answer: No.

Step-by-step explanation: No, because 3.5 converted is 350 and you need 370. Might be to late but hopefully this can help someone else!