Jhon bought a rectangular door mat that was 1/2 meter long and 3/10 meter wide. What is the area of the door mat ?

Answer:

1 can of green beans at Village Market is $0.74.  At Sam's Club, one can of green beans is $0.69. Therefore, Sam's Club is the better buy, by being cheaper than Village Market's by $0.05.

Step-by-step explanation:

Answer:

4 in.3 and 12 cubic yards

Step-by-step explanation:

3 means three sides that a volume has and 2 means its a cube or rectangle shaped figure which i think has 2 sides. cubic means 3 as well that describes volume.

I searched this up

If an F statistic is negative, the true statement would be option C, there has been a calculation error. Since both the numerator and denominator are positive, the F statistic will always be positive.

The F statistic is used to compare the variance between groups with the variance within groups. It is always positive, as both the between-groups and within-groups variances are positive. Therefore, if an F statistic is negative, it indicates that there has been a calculation error.

The correct formula for the F statistic is:

F = (between-groups variance) / (within-groups variance)

A negative F statistic is not possible and indicates that there has been a mistake in the calculation.

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Using it's concept, it is found that the graph has no horizontal asymptote.

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, we have that:

Thus, the graph has no horizontal asymptote.

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Answer:

(10, -3)

Step-by-step explanation:

It is stated in the given information.

The solution is :

The solution is, 15120 different ways can he arrange his program.

Here, we have,

Given : A musician plans to perform 5 selections for a concert. If he can choose from 9 different selections.

To find : How many ways can he arrange his program?  

Solution :

According to question,

We apply permutation as there are 9 different selections and they plan to perform 5 selections for a concert.

since order of songs matter in a concert as well, every way of the 5 songs being played in different order will be a different way.

so, we will permute 5 from 9.

So, Number of ways are

W = 9P5

   =9!/(9-5)!

   = 9!/4!

   = 15120

15120 different ways

Hence, The solution is, 15120 different ways can he arrange his program.

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Answer:

C.15

Step-by-step explanation:

one box has 5 chocolates so 3*5=15

Answer:

The area is 12.56 units^2 (same as circumference?)

Step-by-step explanation:

Assuming pi is 3.14, the equation for the circumference is C = 2 pi r

Fill it out for the radius (r)

12.56 = 2 3.14 r

12.56 = 6.28 r

r = 2

With the radius, the equation for the area is A = pi r^2

Fill it out for the area

A = 3.14 2^2

A = 3.14 4

A = 12.56

The quotient of this division problem option A: 18 r89.

To find the quotient of the division problem 13,391 ÷ 739, we divide the dividend (13,391) by the divisor (739). The quotient represents the whole number result of the division, and any remaining value is the remainder.

Performing the division, we have:

First, we determine how many times 739 can be divided into 13,391 without exceeding it. We find that 739 can be divided into 13,391 eighteen times. We write this as the first part of the quotient:

      18

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

739 | 13,391

      739

We have a remainder of 89, which means we couldn't divide 89 further by 739 without exceeding it. Hence, we write the remainder after the division symbol:

 ----------

       6,651

      5,913

 ----------

         738

Remember, when performing division, the quotient represents the whole number result obtained from dividing the dividend by the divisor, and the remainder represents what is left after the division.

The division process shows that the quotient is 18 (OA) with a remainder of 738. Therefore, the correct answer is OA: 18 r89.

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Answer:

x=  

22

63

​

=2  

22

19

​

≈2.863636364

y=−  

11

112

​

=−10  

11

2

​

≈−10.181818182

Step-by-step explanation:

Answer:

(6,4)

Step-by-step explanation:

just took the Q U I Z

The rate at which the area of the triangle is increasing when the angle between the sides of fixed length is (6/5) m²/s.

To find the rate at which the area of the triangle is changing, we need to use the formula for the area of a triangle: A = (1/2) * base * height. In this case, the two sides of the triangle with fixed lengths are 3 m and 4 m. The angle between them is increasing at a rate of 0.08 rad/s.

First, let's find the height of the triangle. Using trigonometry, we can determine that the height is given by h = 3 * sin(θ), where θ is the angle between the sides. Taking the derivative with respect to time, we get dh/dt = 3 * d(sin(θ))/dt.

Next, we can calculate the rate of change of the area of the triangle. Applying the derivative to the area formula, we have dA/dt = (1/2) * base * (dh/dt).

Substituting the known values, the base is 4 m, and dh/dt is 3 * d(sin(θ))/dt. Since d(sin(θ))/dt is the given rate of change of the angle, which is 0.08 rad/s, we can substitute these values into the equation and solve for dA/dt.

Finally, evaluating the expression, we find that dA/dt = (1/2) * 4 * 3 * 0.08 = (6/5) m²/s. Therefore, the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is (6/5) m²/s.

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Answer:

18.3

Step-by-step explanation:

approx. 18.3ft is the answer

Let x = hours that he worked

4x + 20 = 80

- 20. - 20

4x = 60

--- ----

4 = 4

x = 15

Hope that helps :)

Answer:

15 hours

Step-by-step explanation:

\((4 \times n) + 20 = 80 \\ (4 \times n) = 80 - 20 \\ (4 \times n) = 60 \\ 60 \div 4 = n \\ 15 \: hours\)

Answer:

y=-1/2x-5

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

The length of BP is 14.4 meters.

To find the length of BP, we can use the property that states that when two chords intersect inside a circle, the product of the segment lengths on one chord is equal to the product of the segment lengths on the other chord.

Using this property, we can set up the equation:

AP * PC = BP * DP

Substituting the given values:

12 m * 6 m = BP * 5 m

Simplifying:

72 m^2 = BP * 5 m

To solve for BP, divide both sides of the equation by 5 m:

72 m^2 / 5 m = BP

Simplifying:

14.4 m = BP

Therefore, the length of BP is 14.4 meters.

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Two alternators are being connected to supply power to a load. After the connection is made, in order to make the added alternator share the load, the input torque to the alternator being added must be increased.

Tο supply pοwer tο a lοad using multiple alternatοrs, the input tοrque tο the added alternatοr shοuld be adjusted tο match the pοwer demand οf the lοad. The added alternatοr shοuld be synchrοnized with the existing alternatοrs and cοnnected in parallel tο share the lοad.

The input tοrque tο the added alternatοr will depend οn the pοwer required by the lοad and the characteristics οf the alternatοrs, such as their pοwer ratings and efficiency. By prοperly adjusting the input tοrque οf the added alternatοr, it can cοntribute tο supplying pοwer tο the lοad alοng with the existing alternatοrs.

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The transformed functions is

a) The absolute value function reflected across the x axis and shifted up 2 units is y₁ = -| x₁ | + 2

b) The absolute value function that is shifted left 3 units and is compressed by a third is y₂ = ( 1/3 ) | x₂ + 3 |

c) The absolute value function reflected across the x axis stretched vertically by 5 units shifted left 4 units and up 6 units is y₃ = -5 | x₃ + 4 | + 6

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

a) The absolute value function reflected across the x axis and shifted up 2 units is y₁

The absolute value function is y₁ = | x₁ |

when reflected over x axis , the new function is

y₁ = - | x |

when shifted up 2 units ,

y₁ = -| x₁ | + 2

b)The absolute value function that is shifted left 3 units and is compressed by a third is y₂

The absolute value function is y₂ = | x₂ |

when shifted left 3 units ,

y₂ = | x₂ + 3 |

when compressed by a third , the new function is

y₂ = ( 1/3 ) | x₂ + 3 |

c)The absolute value function reflected across the x axis stretched vertically by 5 units shifted left 4 units and up 6 units is y₃

The absolute value function is y₃ = | x₃ |

when reflected across the x axis ,

y₃ = - | x₃ |

when stretched vertically by 5 units ,

y₃ = - 5 | x₃ |

when shifted 4 units left ,

y₃ = - 5 | x₃ + 4 |

when shifted 6 units up ,

y₃ = -5 | x₃ + 4 | + 6

Hence , the transformation of functions are solved

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Answer:

yes i think u are correct

Step-by-step explanation:

Answer:

some are correct but some are not.

Step-by-step explanation:

You got to pay attention to all the negatives in the equations. Number 3 is incorrect. The reason is  you started the plot at positive 6 not negative 6

The probability of number of different ways to deal four face cards (king, queen, or jack) and one non-face card from a standard deck of cards is 48.

To determine the number of ways to deal the cards, we need to consider the following:

1. Selecting four face cards:

There are 12 face cards in a standard deck (4 kings, 4 queens, and 4 jacks). We need to choose 4 of these face cards, which can be done in (12 choose 4) ways:

(12 choose 4) = 12! / (4! * (12 - 4)!) = 12! / (4! * 8!) = (12 * 11 * 10 * 9) / (4 * 3 * 2 * 1) = 495.

2. Selecting one non-face card:

After selecting the four face cards, there are 40 remaining cards in the deck that are not face cards. We need to choose 1 of these cards, which can be done in 40 ways.

Multiplying the two choices together, we get:

Number of ways = (12 choose 4) * 40

= 495 * 40

= 19,800.

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Answer:d

Step-by-step explanation:

The required function is \(P(x)=x^2+3x+154\). So, option D is correct.

Important information:

We need to find the function p(x).

If \(x=c\) is a solution of \(p(x)=0\), then \((x-c)\) is a factor of p(x).

It means \((x+14)\) and \((x-11)\) are two factor of p(x).

\(P(x)=(x+14)(x-11)\)

\(P(x)=x^2-11x+14x+154\)

\(P(x)=x^2+3x+154\)

Therefore, the correct option is D.

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If someone wants the product of two line segments to be represented as another line segment, they can make use of similar triangles

The correlation between the lengths of line segments can be established by creating a geometric shape comprising of two triangles that are identical and share one side.

If the legs of the triangles are used to represent the two line segments and their shared side represents the resulting line segment, it is possible for the lengths to be proportional through the similarity of the triangles.

To represent the product of the two original line segments, it is necessary to ensure that they and the resulting line segment are a collection of similar triangles. This is because the length of the resulting line segment can represent the product of the initial segments.

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Applying combinatorics without repetition, the championship has 18 participating teams (n = 18). A solution algorithm is shown to describe the steps for the calculation.

Definir n,fr,r,fn,fnr,nCr Como Real

fr <- 1

n <- 2 // Unknown variable (number of teams)

r <- 2 // Each match consists of 2 team

Para f<-r Hasta 1 Con Paso -1 Hacer

 fr <- fr*f

FinPara

Repetir

 fn <- 1

 fnr <- 1

 Para f<-n Hasta 1 Con Paso -1 Hacer

  fn <- fn*f

 FinPara

 Para f<-n-r Hasta 1 Con Paso -1 Hacer

  fnr <- fnr*f

 FinPara

 nCr <- fn/(fr*fnr)

 Escribir '**************'

 Escribir 'n! = ',fn

 Escribir 'r! = ',fr

 Escribir '(n-r)! = ',fnr

 Escribir 'nCr = ',nCr

 n <- n+1

Hasta Que nCr=153

Escribir 'Number of teams participating in the championship:: ',n-1

FinAlgoritmo

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Given the below expression;

To be able to solve this, we'll need to change the division sign to multiplication sign and find the reciprocal of the denominator;

Let's go ahead and simplify;

Therefore, our answer is 3.

The correct answer is options 1 and 4: w/x divided by y/z is equivalent to X/w x z/y.

To determine which of the given options is equivalent to w/x divided by y/z, let's simplify each option step by step:

w/x divided by y/z:

(w/x) / (y/z) = (w/x) * (z/y) = wz / xy

X/w x y/z:

(x/w) * (y/z) = xy / wz

X/w x z/y:

(x/w) * (z/y) = xz / wy

W/x x z/y:

(w/x) * (z/y) = wz / xy

X/w divided by z/y:

(x/w) / (z/y) = (x/w) * (y/z) = xy / wz

Comparing the simplified expressions, we can see that options 1 and 4 both simplify to wz / xy, while options 2, 3, and 5 do not.

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The probability of both Nic and Tim winning the raffle at the same time is 1/100.

Probability is a mathematical measurement of a likelihood of an event to happen. Given that both Nic and Tim each purchase one raffle ticket out of 10 tickets and that there will be two winners selected, the odds of either Nic or Tim winning the raffle out of 10 ticket is 1/10.

Since the odds of either Nic or Tim winning the raffle ticket is 1 out of 10 or 1/10, we can then calculate the mathematical probability of two events occurring at the same time with a multiplication rule formula as follows:

1/10×1/10=1/100

Hence, the odds of both Nic and Tim winning at the same time is 1 out of 100 or 1/100.

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a) The probability of exactly 5 calls in one hour is 0.0912.

b) The probability is 0.4432.

We can use the Poisson probability distribution formula to find the probability of exactly 5 calls in one hour:

P(X = 5) = (e^-7 * 7^5) / 5!

P(X = 5) = (e^-7 * 7^5) / 5! = (0.00091188) = 0.0912 (rounded to four decimal places)

Therefore, the probability of exactly 5 calls in one hour is 0.0912.

For a Poisson distribution with parameter λ, both the mean and standard deviation are equal to λ.

Thus, the range within one standard deviation of the mean is from 7 - √7 to 7 + √7.

The probability that the number of phone calls that arrive in one hour is within one standard deviation from its mean is 0.6827 (or approximately 68.27%).

P(λ - σ ≤ X ≤ λ + σ) = 1 - [P(X < λ - σ) + P(X > λ + σ)]

P(X < λ - σ) = P(X < 7 - √7) = Σ[(e^-7 * 7^k) / k!] from k = 0 to 5

P(X > λ + σ) = P(X > 7 + √7) = Σ[(e^-7 * 7^k) / k!] from k = 10 to infinity

P(X < 7 - √7) = 0.2834

P(X > 7 + √7) = 0.2734

P(7 - √7 ≤ X ≤ 7 + √7) = 1 - [P(X < 7 - √7) + P(X > 7 + √7)]

= 1 - (0.2834 + 0.2734)

= 0.4432 (rounded to four decimal places)

Therefore, the probability is 0.4432.

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If a value of y relates only to one value of x, then the function does have an inverse function.

A relation between such a collection of inputs and outputs is known as a function.

Thus, if a value of y relates only to one value of x, then the function does have an inverse function.

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The appropriate p-value for the given test statistic and hypotheses is approximately 0.0253.

Tο determine the apprοpriate p-value fοr the given hypοthesis test, we need tο use the t-distributiοn and the t-statistic value οbtained.

Given:

Null hypοthesis (H0): μ = 130 (pοpulatiοn mean)

Alternative hypοthesis (HA): μ > 130 (pοpulatiοn mean)

T-statistic: t = 2.73

Degrees οf freedοm: df = 5

Tο calculate the p-value, we cοmpare the t-statistic tο the t-distributiοn.

Since the alternative hypοthesis is μ > 130, it is a οne-tailed test, and we are interested in the right tail οf the t-distributiοn.

Using a t-table οr a statistical sοftware, we can determine the p-value assοciated with the t-statistic and the degrees οf freedοm.

Fοr a t-statistic οf 2.73 with 5 degrees οf freedοm, the p-value is apprοximately 0.0257 (assuming a twο-tailed test).

Since we have a οne-tailed test, the apprοpriate p-value is half οf the twο-tailed p-value:

p-value = 0.0257 / 2 = 0.01285

Therefοre, the apprοpriate p-value fοr the given hypοthesis test is apprοximately 0.01285.

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The conditional probability of an even number occurring on both dice given that the sum of the numbers equals eight is 2/5 or 0.4

To solve this problem, we need to first determine the sample space of all possible outcomes for rolling two dice with a sum of eight. The possible outcomes are (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2).

Next, we need to determine the number of outcomes where both dice show an even number. There are only two possible outcomes for this case, which are (4, 4) and (6, 2).

Therefore, the probability of an even number occurring on both dice given that the sum of the numbers equals eight is 2/5 or 0.4.

We can also calculate this probability using conditional probability. The conditional probability of an even number on both dice given that the sum is eight is the probability of getting an even number on both dice AND a sum of eight divided by the probability of getting a sum of eight.

The probability of getting an even number on both dice AND a sum of eight is 2/36 or 1/18, as there are only two ways to get both dice to show an even number, and only one way to get a sum of eight with each of those outcomes.

The probability of getting a sum of eight is 5/36, as there are five ways to get a sum of eight out of 36 possible outcomes.

Thus, the conditional probability of an even number occurring on both dice given that the sum of the numbers equals eight is (1/18) / (5/36) = 2/5 or 0.4, which is the same as our previous answer.

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