a rectangular television's length is 3 inches more than twice its width. The perimeter of the television is 144 inches. What is the width of the television?
A. 23
B. 24
C. 25
D. 26
can someone explain bc I got small brain ykyk

Cannot be determined (as there is no frequency associated with demand value 40).

To answer this question, we need to determine the demand values associated with the given random numbers based on the provided frequency distribution.

Let's look at each of the given random numbers separately.

1. Random number = 0. The frequency associated with demand value 0 is 29.

Therefore, the simulated demand for this random number is 0.2.

Random number = 1.

The frequency associated with demand value 1 is 12.

Therefore, the simulated demand for this random number is 1.3.

Random number = 77/2. The frequency associated with demand value 77/2 is 19.

Therefore, the simulated demand for this random number is 77/2.4.

Random number = 40.

There is no frequency associated with demand value 40 in the given frequency distribution.

Therefore, we cannot determine the simulated demand for this random number.

In conclusion, the demand values associated with the given random numbers based on the provided frequency distribution are:

Random number = 0:

Simulated demand = 0

Random number = 1:

Simulated demand = 1

Random number = 77/2:

Simulated demand = 77/2

Random number = 40:

Cannot be determined (as there is no frequency associated with demand value 40)A

The demand values associated with the given random numbers based on the provided frequency distribution are:

Random number = 0:

Simulated demand = 0

Random number = 1:

Simulated demand = 1

Random number = 77/2:

Simulated demand = 77/2

Random number = 40:

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Borrowing at low interest rates is a significant factor in the rising standard of living in the United States.

The correct answer is c) low interest rates; rising.

Borrowing at low interest rates is a major reason for the rising standard of living in the United States. When interest rates are low, it becomes more affordable for individuals, businesses, and the government to borrow money for various purposes such as purchasing homes, starting businesses, or investing in infrastructure.

Low interest rates mean that the cost of borrowing is lower, allowing people to access credit more easily and at a lower cost. This enables individuals and businesses to make large purchases or investments that they might not be able to afford otherwise. For example, low mortgage interest rates make homeownership more affordable, and low business loan rates facilitate entrepreneurship and business expansion.

Moreover, low interest rates can stimulate economic activity and boost consumer spending, which further contributes to a rising standard of living. When people can borrow money at lower costs, they have more disposable income, which can be spent on goods and services, driving economic growth and job creation.

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The median for Class 1 would be 28 minutes.

The interquartile range for the data set would be 10.

Quartile 1 for the data set is 5.

The median in a box plot is the line inside the box. This is why the median for class 1 is simply 28 minutes.

The interquartile range is:

= q 3 - q 1

Arrange the data :

35, 41, 42, 43, 47, 49, 52, 55, 56

IQR :

= 52 - 42

= 10

The first quartile would be:

3, 5, 7, 8, 12, 14, 15, 17

= 0. 25 x 8

= 2 nd position

First quartile = 5

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Answer: 16

Step-by-step explanation:

its 16 because if you do 3/7 times 2/15 it gives you 16

Answer: x = 37

Step-by-step explanation: (3/7)*(x-2) = 15 // - 15

(3/7)*(x-2)-15 =

0 3/7*(x-2)-15 = 0

3/7*(x-2)-15 = 0

3/7*x-111/7 = 0

3/7*x-111/7 = 0 // + 111/7

3/7*x = 111/7 // : 3/7

x = 111/7/3/7

therefore the answer is x =37

The superposition is the imposing of one wave on the other and resulting in the change of the amplitude of the final wave.

When two or more waves travel through the same space in superposition, their combined amplitudes equal the amplitudes they would have produced individually. For instance, two waves moving in the same direction will pass through each other without causing any distortion on the other side.

The pattern you see when shining light through two slits, the sounds you hear in acoustically sound rooms and music halls, the interference radios receive when moved close to other electronic devices, and any tone produced by a musical instrument are all examples of the superposition principle in action.

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Answer:

10

10,6

60 + 36

96 square unnits

Step-by-step explanation:

Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

Answer:

The answer is 10.9

Step-by-step explanation:

hope this helps

336.752÷31= 10.86296774

And round it to the nearest ten which is 10.9

Answer:

7. Ans;

\( \frac{6 {a}^{5} {b}^{7} }{ - 2 {a}^{3} {b}^{7} } = \frac{2 {a}^{3} {b}^{7}(3 {a}^{2} ) }{ - 2 {a}^{3} {b}^{7} } = - 3 {a}^{2} \)

___o____o___

8. Ans;

\( \frac{ - 20 {x}^{3} {y}^{2} }{ - 5 {x}^{3}y } = \frac{ - 5 {x}^{3}y(4y) }{ - 5 {x}^{3}y } = 4y\)

___o___o___

9. Ans;

\( \frac{ - 16 a {b}^{4} }{4 {b}^{3} } = \frac{4 {b}^{3}( - 4ab) }{4 {b}^{3} } = - 4ab\)

____o____o____

10. Ans;

\( \frac{21 {m}^{8} {n}^{5} }{27 {m}^{5} {n}^{4} } = \frac{3 {m}^{5} {n}^{4}(7 {m}^{3} n) }{3 {m}^{5} {n}^{4}(9) } = \frac{7 {m}^{3}n }{9} \)

___o___o___

11. Ans;

\( \frac{ - 15 {x}^{5} {y}^{4} }{45x {y}^{3} } = \frac{ 15x {y}^{3} ( - {x}^{4} y)}{15x {y}^{3}(3) } = - \frac{ {x}^{4}y }{3} \)

___o___o___

12.Ans;

\( \frac{7 {p}^{2} {q}^{2} }{14 {p}^{2} {q}^{2} } = \frac{7 {p}^{2} {q}^{2} }{7 {p}^{2} {q}^{2} (2) } = \frac{1}{2} = 0.5\)

I hope I helped you^_^

Answer:

35 degrees

Step-by-step explanation:

for all positive angles less than 360°, if csc (2x+30°)= cos (3y-15°), the sum of x and y is?​

Let the given expression be equal to 1, hence;

csc (2x+30°)= cos (3y-15°) = 1

csc (2x+30°) = 1

1/sin(2x+30) = 1

1 = sin(2x+30)

sin(2x+30) = 1

2x+30 = arcsin(1)

2x+30 = 90

2x = 90-30

2x = 60

x = 60/2

x = 30 degrees

Get the value of y;

cos (3y-15°) = 1

3y - 15 = arccos (1)

3y - 15= 0

3y = 0+15

3y = 15

y = 15/3

y = 5

Sum of x and y;

x+y = 30 + 5

x+y = 35degrees

Hence the sum of x and y is 35 degrees

If the relationship between the variables is non-linear, the correlation coefficient may not accurately reflect the true nature of the relationship. In such cases, it is important to use other methods to analyze the relationship between the variables, such as scatter plots or non-linear regression models.

A correlation coefficient might not reflect the appropriate relationship between two variables. This can happen especially when the relation between the any two variables is non-linear.Correlation coefficients are used to measure the strength and direction of the linear relationship between two variables. However, if the relationship between the variables is non-linear, the correlation coefficient may not accurately reflect the true nature of the relationship. In such cases, it is important to use other methods to analyze the relationship between the variables, such as scatter plots or non-linear regression models.

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The smallest positive integer y such that the product xy is a perfect cube is 3.

To find the value of y, we need to factorize x, which is 7 * 24 * 48.

We can then find the prime factorization of xy, which will help us determine the smallest integer y that will make the product a perfect cube.

Since 7, 24, and 48 are already factored, we can express x as:

x = 2⁴ * 3 * 7²

To make xy a perfect cube, we need to ensure that the exponents of all the prime factors are multiples of 3.

Therefore, we need to add a factor of 3 to the exponent of 2 in x to make it a multiple of 3. This gives us:

xy = 2⁷ * 3² * 7²

The smallest integer y that can make this product a perfect cube is 3, because we need to add a factor of 1 to the exponent of 2 in xy to make it a multiple of 3, and the smallest integer that can achieve this is 3.

Thus, the smallest positive integer y such that the product xy is a perfect cube is 3.


The question is: A number x is equal to \($7\cdot24\cdot48$\). What is the smallest positive integer y such that the product xy is a perfect cube

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Answer:

22 divided by 6 is about 3.67

Step-by-step explanation:

The coordinate of the centre of the circle inscribed in a triangle whose vertices are (−36,7), (20,7) and (0,−8) is (-1,0).

The formula for calculating the coordinate of the centre of the circle inscribed in a triangle whose vertices are \((x1,y1), (x2,y2), (x3,y3)\):

(x,y) = \((\frac{ax1+bx2+cx3}{a+b+c} , \frac{ay1+by2+cy3}{a+b+c})\)

where,

a is the side of triangle opposite vertex (x1, y1)

b is the side of triangle opposite vertex (x2, y2)

c is the side of triangle opposite vertex (x3, y3)

Given vertices of triangle as (−36,7), (20,7) and (0,−8),

By distance formula,

a = \(\sqrt{(20-0)^2+(7+8)^2}\) = 25

b= \(\sqrt{(-36-0)^2+(7+8)^2}\) = 39

c = \(\sqrt{(20+36)^2+(7-7)^2}\) = 56

The coordinates of triangle become:

x = \(\frac{25*-36 + 39*20 +0*56}{25+39+56}\) = -1

y = \(\frac{7*25+39*7-8*56}{25+39+56}\) = 0

(x,y) = (-1,0)

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The complete question is given below:

Find the coordinates of the centre of the circle inscribed in a triangle whose vertices are (−36,7), (20,7) and (0,−8) ?

From the figure , and by using congruent complements theorem, the angle that is congruent to angle4 is (a) angle1  .

The "Congruent Complements Theorem" states that if two angles are complementary to same angle, then they are congruent. In other words, if two angles add up to 90 degrees, and they both complement the same third angle, then they are equal in measure.

The ∠4 and ∠5 are the complements and ∠1 and ∠5 are complements.

Which proves that :  ∠1 and ∠4 are complimentary to the same angle that is ∠5.

Therefore, the ∠ 1 is congruent to angle 4 .

The given question is incomplete , the complete question is

From the figure below , the angle 4 and angle 5 are complements and angle 1 and angle 5 are complements , By using the congruent complements theorem, which angle is congruent to angle4 ?

(a) angle1

(b) angle2

(c) angle3

(d) angle5

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25% chance

Head-Head

Head-Tail

Tail-Head

Tail-Tail

Answer:

Step-by-step explanation:

According to the ratio:

Josh has 9 sweets less than John.

Use the difference to find the value of x:

John has:

Answer:

Given

x+y+z=0

⟹x+y=−z

Cubing on both sides

(x+y) 3 =(−z) 3

⟹x 3 +y 3 +3x 2y+3xy 2 =−z 3

⟹x 3 +y 3 +3xy(x+y)=−z 3

⟹x 3+y 3+3xy(−z)=−z 3

⟹x 3 +y 3−3xyz=−z 3

⟹x 3 +y 3 +z 3 =3xyz

Step-by-step explanation:

Hope it is helpful.....

Answer:

C. y, y + 2, 2y + 14

Step-by-step explanation:

Given

\(Volume = 2y^3 + 15y^2 + 28y\)

Required

Determine which set of dimensions is applicable

The volume of a rectangular prism is calculated as:

\(Volume = Length * Width * Height\)

So, to solve this question, we have to test each options using the above formula

A. y, y + 4 and 2y + 7

\(Volume = y * (y + 4) * (2y + 7)\)

Open brackets

\(Volume = y * (y * 2y+ 4* 2y + y * y+ 4* 7)\)

\(Volume = y(2y^2+ 8y + y^2+ 28)\)

\(Volume = 2y^3+ 8y^2 + y^3+ 28y\)

Collect Like Terms

\(Volume = 2y^3 + y^3+ 8y^2+ 28y\)

\(Volume = 3y^3+ 8y^2+ 28y\)

B. y, y + 7, 2y + 4

\(Volume = y * (y + 7) * (2y + 4)\)

Open brackets

\(Volume = y * (y * (2y + 4)+ 7* (2y + 4))\)

\(Volume = y * (2y^2 + 4y+ 14y + 28)\)

\(Volume = y * (2y^2 + 18y+ 28)\)

\(Volume = 2y^3 + 18y^2+ 28y\)

C. y, y + 2, 2y + 14

\(Volume = y * (y + 2) * (2y + 14)\)

Open brackets

\(Volume = y * (y* (2y + 14) + 2* (2y + 14))\)

\(Volume = y * (2y^2 + 14y + 4y + 28)\)

\(Volume = y * (2y^2 + 18y + 28)\)

\(Volume = 2y^3 + 18y^2 + 28y\)

There's no need to check the last option because option c answers the question.

Hence, the dimension is y, y + 2, 2y + 14

The experimental probability of rolling a 1 or a 2 is 0.2.

Hence, Option A is correct.

We know that,

The experimental probability of an event is defined as the number of times the event occurred divided by the total number of trials.

In this case,

The event is rolling a 1 or a 3,

Which occurred ⇒  3 + 1

                           = 4 times.

Given that there are total number of trials = 20.

Therefore,

The experimental probability of rolling a 1 or a 3 = 4/20,

                                                                                = 1/5

                                                                                 = 0.2

Hence, the required probability is 0.2.

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The complete question is:

Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the experimental probability of rolling a 1 or a 3?

Number on cube:1,2,3,4,5,6

Number of times event occurs:3,6,1,5,3,2

A.0.2

B.0.3

C.0.6

D.0.83

Answer:

-3

Step-by-step explanation:

The proportion of the population between 24 and 32 is approximately 0.159, or 15.9%.

To find the proportion of a normal population between 24 and 32 with a mean (μ) of 40 and a standard deviation (σ) of 11, follow these steps:

1. Calculate the z-scores for 24 and 32 using the z-score formula: z = (X - μ) / σ
  For 24: z1 = (24 - 40) / 11 = -16 / 11 ≈ -1.45
  For 32: z2 = (32 - 40) / 11 = -8 / 11 ≈ -0.73

2. Use a z-table or calculator to find the proportion of the population corresponding to these z-scores.
  For z1 = -1.45:

p(z1) ≈ 0.074
  For z2 = -0.73:

p(z2) ≈ 0.233

3. Find the proportion of the population between z1 and z2 by subtracting p(z1) from p(z2).
  p(z2 - z1) = p(z2) - p(z1) = 0.233 - 0.074 = 0.159

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a. The appropriate model for this problem is the Poisson distribution because it's model  the number of rare events occurring in a fixed interval of time or space.

b.  Using the model  the probability that there will be no episodes in this period is 0.82%.

c. Using the model,  the probability that there are more than three episodes in this period is  70.57%.

(a) The appropriate model for this problem is the Poisson distribution, which models the number of rare events occurring in a fixed interval of time or space. The conditions for a Poisson distribution are:

In this case, we are interested in the number of volcanic episodes occurring in a 2-year period, which is a fixed interval of time. The events are rare and independent of each other, and the average rate of events is given as 2.4 per year. Therefore, the Poisson distribution is appropriate for modeling X.

The parameter value for the Poisson distribution is λ, the average rate of events per unit of time or space. In this case, λ = 2.4 x 2 = 4.8 for the 2-year period.

(b) The probability that there will be no episodes in this period is given by the Poisson probability mass function:

P(X = 0) = e^(-λ) * λ^0 / 0! = e^(-4.8) * 4.8^0 / 0! = 0.0082 (rounded to four decimal places)

Therefore, the probability that there will be no episodes in the 2008-2009 period is approximately 0.0082, or 0.82%.

(c) The probability that there are more than three episodes in this period is given by the complement of the probability that there are three or fewer episodes:

P(X > 3) = 1 - P(X ≤ 3)

We can use the Poisson cumulative distribution function to calculate P(X ≤ 3):

P(X ≤ 3) = Σ(e^(-λ) * λ^k / k!) for k = 0 to 3

P(X ≤ 3) = e^(-4.8) * (4.8^0 / 0! + 4.8^1 / 1! + 4.8^2 / 2! + 4.8^3 / 3!)

P(X ≤ 3) = 0.2943 (rounded to four decimal places)

Therefore, P(X > 3) = 1 - P(X ≤ 3) = 1 - 0.2943 = 0.7057 (rounded to four decimal places)

Therefore, the probability that there are more than three episodes in the 2008-2009 period is approximately 0.7057, or 70.57%.

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The maximum and minimum measurements are 5 and -3 respectively.

f ( x ) = -x^3 +3x^2+ 45 x + 10

f' l x ) = 0

0 = - 3x^2 +6x +45

x = 5,- 3.

f ( 4 ) = - ( 4 )^3+ 3( 4 )^ 2 + 45 ( 4 ) + 10 = 174

f ( - 4 ) = - ( - 4 )^3 + 3( - 4 )^2 + 45(- 4) + 10 = - 58

f ( - 3 ) = -(- 3 )^3 + 3 ( - 3)^2 + 45 (- 3) + 10 = - 7 1

+ ( 5 ) = -(5)^3 + 3(5 )^2 +45(5)+ 10 = 185

Absolute maximum = maxis{ f(4 ),f(5),f(-4),f( - 3 )}

                        = 185 at x=5

Absolute mininum=minis{f(4 ),f(5),f(-4),f( - 3 )}

                      = - 71 at x= -3

In light of this, the maximum and minimum values are 5 and -3, respectively.

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Answer:

$3.25

Step-by-step explanation:

Since there are 4 scoops, multiple 0.75 by 4 to find how much it was for the four scoops.

Since we know only one cone is used, just add 0.25 in the equation:

0.75(4) + 0.25 (solve)

3 + 0.25

3.25

Hope this helps!

total length = 6 ft

length of the piece = 1/3

There will be 18 pieces

The slope of the line that passes through the points (-5, 6) and (-9, -6) is 3

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

Let the given points as shown:

(x1,y1)= (-5, 6) and (x2,y2)= (-9, -6)

Slope = m = (y2-y1) /( x2-x1)

                 = (-6-6) /(-9-(-5))

                 = -12/-4

                 = 3

So, the slope of the line that passes through the points (-5, 6) and (-9, -6) is 3

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