Does this graph represent a proportional relationship?
Explain.

Therefore , the solution of the given problem of probability comes out to be the experimental likelihood that a reggae CD will be the next one lent out is roughly 0.4615, or 46.15%.

Any considerations technique's main objective is to determine the likelihood event that a claim is true or that a particular incident will happen. Any number from 0 to 1, where 0 traditionally represents a percentage and 1 typically denotes the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.

Here,

Given: 86 Latin CDs were lent out, 16 were rock CDs, 45 were hip-hop CDs, and 126 were reggae CDs.

=> CDs loaned out in total: 86 + 16 + 45 + 126 = 273

=> 126 reggae CDs were lent out.

Number of reggae CDs loaned out relative to the total number of CDs loaned out, experimental likelihood of lending a reggae CD

=> A reggae CD's experimental chance of being lent out  = 126/273.

We may calculate the experimental probability's approximation using a calculator as follows:

=> A reggae CD will be lent out with an experimental probability of 0.4615.

Therefore, the experimental likelihood that a reggae CD will be the next one lent out is roughly 0.4615, or 46.15%.

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Answer:

126/273

Step-by-step explanation:

Answer:

The cube root for 216 is 6

Step-by-step explanation:

Answer:

the cube root of 216 is 6

Step-by-step explanation:

In the novel "To Kill a Mockingbird" by Harper Lee, during the trial of Tom Robinson in chapters 17-19, Mayella Ewell accuses Tom of raping her. One piece of evidence presented during the trial is a chart showing the timeline of events on the day in question. According to the chart, Mayella asked Tom to come inside the fence to help her with a task. She claimed that she needed him to break up an old chiffarobe (a type of cabinet) for firewood. However, during cross-examination, Tom reveals that Mayella actually asked him to come inside the fence to help her with a different task - to get a box from the top of the chiffarobe. When Tom climbed up to get the box, Mayella hugged him from behind and then kissed him. This unexpected advance scared Tom, and he quickly left the scene. Mayella's false testimony highlights the prejudice and racism present in Maycomb and the injustice of the trial.

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The answer is Sometimes

A kind of evolution through artificial selection is the practice of choosing creatures with desired features over several generations.

The mix of alleles found in an organism is known as its genotype. A phenotype is also the culmination of all the organism's discernible traits. In artificial selection, people choose animals or plants with favored phenotypic features for reproduction.

Since the phenotype is impacted by the genotype, the process of artificial selection alters allele frequencies throughout generations, resulting in the evolution of desirable features in offspring.

In conclusion, a kind of evolution through artificial selection is the practice of selecting creatures with desired qualities over several generations.

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To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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Answer:

it's 2 I already took the quiz

Answer:

1a the scatter plot models the heart

Answer: B) 90º counterclockwise

Step-by-step explanation:

           First, let us look at clockwise vs counterclockwise. Clockwise is in the direction of a clock, spinning around to the right. Counterclockwise is the opposite, spinning to the left.

     A) 90º clockwise

➜ This is 90 degrees to the right.

     B) 90º counterclockwise

➜ This is 90 degrees to the left

     C) 180º

➜ This is directly flipped.

     D) 270º clockwise

➜ This is 270 degrees to the right.

     E) 270º counterclockwise

➜ This is 270 degrees to the left.

           We will look at the answer options and decide which makes the most sense. This looks to be option B, 90º counterclockwise as shown in the image attached.

The height ofobject's bounce is the response variable because it depends on many factor.

An independent variable is one which is not affected by any other variable for example, the amount we spend, the time we study ,etc.  

An explanatory variable is a type of independent variable but not fully independent but depends on some factors.

Though explanatory and independent variables are practically used interchangeably the main difference is explanatory variable is not independent but explains the variations in the response varaible.

A response variable, also known as a dependent variable, is a concept, idea, or quantity that someone wants to measure. It depends on an independent variable.

Since, the height of the an object's bounce depends on many factors

like how much energy is lost in the ball during the collision with the floor, the elasticity of the material etc.

Therefore, we can say that height ofobject's bounce is the response variable because it depends on many factor.

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Answer:

2

Step-by-step explanation:

The multiplicative inverse of 1/2 is 2. To determine the multiplicative inverse of a number, we use the following rule: The multiplicative inverse...

The number of ordered quadruplets of non-negative integers that satisfy the given condition is:
|A| - |B| = 161,700 - 16,215 = 145,485

To solve this problem, we need to use the Principle of Inclusion-Exclusion (PIE). Let A be the set of all quadruplets (a1,a2,a3,a4) of non-negative integers that satisfy the equation a1+a2+a3+a4=100, and let B be the set of all quadruplets where all four integers are odd. Then the number of quadruplets that satisfy the given condition is given by:
|A| - |B|
To find |A|, we can use stars and bars. If we consider 100 stars and 3 bars, we can partition the stars into 4 groups, corresponding to the four integers. There will be 99 gaps between the stars and bars, and we need to choose 3 of them to place the bars. This gives us:
|A| = (99 choose 3) = 161,700
To find |B|, we can use a similar approach. If all four integers are odd, then they must be of the form 2k+1, where k is a non-negative integer. Substituting this into the equation a1+a2+a3+a4=100, we get:
2k1 + 1 + 2k2 + 1 + 2k3 + 1 + 2k4 + 1 = 100
Simplifying this equation, we get:
k1 + k2 + k3 + k4 = 48
This is now an equation in non-negative integers, which we can solve using stars and bars. We need to partition 48 stars into 4 groups, and there will be 3 bars separating them. This gives us:
|B| = (47 choose 3) = 16,215.

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Answer:

19.42 ft.

Step-by-step explanation:

The diameter of the semicircle is 6, so 3.14 x 6 = 18.84. Since it is a semicircle, we divide that by 2 to get 9.42.

The hypotenuse of the right triangles only matter for the perimeter. 5 + 5 = 10, and 9.42 + 10 = 19.42 ft.

The outer perimeter is 19.42 ft.

Perimeter is the distance around the edge of a shape.

Given:

radius= 3 ft

height= 4 ft

slant height= 5 ft

diameter of the semicircle is 6 feet.

So,

= 3.14 x 6 = 18.84.

Since it is a semicircle,

=18.84/2

=9.42 feet

Now, the perimeter.

= 5 + 5 +9.42

= 19.42 ft.

Hence, the perimeter is 19.42 feet.

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C.) right and isosceles, but not equilateral

Answer:

C.) right and isosceles, but not equilateral

Step-by-step explanation:

In order to calculate the diameter of the soap bubble, we need to use the Laplace equation and solve for the radius of the bubble.The diameter of the soap bubble is 8.04 x 10⁻⁴ mm.

We will then double the radius to get the diameter of the bubble.Here's the solution:

Given that:

Radius of the soap bubble =

r = 0.065 mm

= 6.5 x 10⁻⁵ m

Surface tension of soap in air =

σ = 0.019 N/m

Pressure outside the bubble =

P₂ = 75.0 kPa

= 75,000 Pa

Ambient temperature =

T = 300 K

Atmospheric pressure =

P₁ = 1 atm = 101,325 Pa

Laplace's equation states that the pressure inside the bubble is given by:

Pinside = Poutside + (2σ/r)

where σ is the surface tension and r is the radius of the bubble.

Rearranging the above equation to solve for the radius of the bubble:

2σ/r = Pinside - Poutside

r = 2σ/(Pinside - Poutside)

Substituting the given values into the above equation:

r = [2 x 0.019] / [Pinside - 101325]

After the soap bubble rises up, the pressure outside the bubble becomes 75 kPa.

Therefore:

Pinside - 101325 = 75000

Pinside = 176325 Pa

Substituting this value of Pinside into the above equation:

r = [2 x 0.019] / [176325 - 101325]

= 4.02 x 10⁻⁷ m

The diameter of the soap bubble is twice the radius:

D = 2r = 2 x 4.02 x 10⁻⁷ m

= 8.04 x 10⁻⁷ m

Converting the diameter to mm:

D = 8.04 x 10⁻⁷ m x 1000 mm/m

= 8.04 x 10⁻⁴ mm (answer)

Therefore, the diameter of the soap bubble is 8.04 x 10⁻⁴ mm.

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Answer:

3 CDs

Step-by-step explanation:

If we have $65 and buy a $23 DVD, we will have $42 left.

So how many $14 CDs can we buy with $42?

All we have to do is divide 42 into 14, so we know how many groups of $14 we can make with $42.

42 ÷ 14 = 3

Therefore, Michella can purchase 3 CDs.

We know that the area of a semicircle = 1/2(πr^2)

r = the radius

We also know that the area of a rectangle = xy

x = width

y = length

In our problem,

r = w

x = w

y = w + 5

A(w) = w(w + 5) - 1/2(πw^2)

Let's simplify the right side of the function.

A(w) = w^2 + 5w - 1/2πw^2

Answer:

x = -4

Step-by-step explanation:

-24 = 6x

________

Switch sides:

6x = -24

________

Divide both sides by 6:

6x/6 = -24/6

________

Simplify:

X = -4

Answer:x = -4

Step-by-step explanation:

Answer:

(-3, -1.5)

Step-by-step explanation:

Given:

\(\boxed{\text{Midpoint of a line segment:} \ \huge\text(\dfrac{x_1 + x_2}{2} ,\dfrac{y_1 + y_2}{2} \text)}\)

Substitute the endpoints of the line segment in the midpoint:

\(\implies \huge\text[\dfrac{-2 + (-4)}{2} ,\dfrac{6 + (-9)}{2} \text]\)

Simplify the coordinates in the midpoint:

\(\implies \huge\text[\dfrac{-2 - 4}{2} ,\dfrac{6 - 9}{2} \text] \implies \huge\text[\dfrac{-6}{2} ,\dfrac{-3}{2} \text]\implies \huge\text[-3 ,-1.5 \text]\)

Thus, the coordinate of the midpoint is (-3, -1.5)

Answer:

15x -4 = 11x       and          4x+5=9x

9 timees11 = 20x

Step-by-step explanation:

20x for first anwer

thank me later emmitheblackbobcat

Answer:

I can't understand the person above. but by looking at his results; they are equivalent to mine for this question.

Answer:

-5.49

Good Luck!!!

Answer:

160

Step-by-step explanation:

Number of fence posts used in 1 kilometer

\( = \frac{1920}{12} \\ \\ = 160\)

Answer:

3,270

Step-by-step explanation:

In the beginning of the day, there was 4,350 ice cream sandwiches. Then at the end of the day there was 1,080 ice cream sandwiches left, so you have to subtract 1,080 from 1,350 so the problem equation is 4350-1080=?

Here's how you solve it:

  2 15

 43 50

−10 80
______

  3270

Answer

put 1 on top and exo on bottom

Step-by-step explanation:

Answer:

1st answer choice

Step-by-step explanation:

The length of one leg of the right triangle is 5√10

The leg of a right triangle can be found as follows;

Therefore, using trigonometric ratios,

sin 45 = opposite / hypotenuse

sin 45 = x / 10√5

1 / √2 = x / 10√5

cross multiply

10√5 = x√2

divide both sides by √2

x = 10√5 / √2

x = 10√5 / √2 × √2 / √2

x = 10√10 / 2 = 5√10

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Answer:

We know that in the box there are:

4 twix

3 kit-kat

Then the total number of candy in the box is:

4 +3 = 7

a)

Here we want to find the probability that we draw two twix.

All the candy has the same probability of being drawn from the box.

So, the probability of getting a twix in the first drawn, is equal to the quotient between the number of twix and the total number of candy in the box, this is:

p = 4/7

Now for the second draw, we do the same, but because we have already drawn one twix before, now the number of twix in the box is 3, and the total number of candy in the box is 6.

this time the probability is:

q = 3/6 = 1/2

The joint probability is the product of the individual probabilities, so here we have

P = p*q = (4/7)*(1/2) =  2/7

b) same reasoning than in the previous case:

For the first bar, the probability is:

p = 3/7

for the second bar, the probability is:

q = 2/6 = 1/3

The joint probability is:

P = p*q = (3/7)*(1/3) = 1/7

c) Suppose that first we draw a twix.

The probability we already know that is:

p = 4/7

Now we want another type, so we need to draw a kit-kat, the probability will be equal to the quotient between the remaining kit-kat bars (3) and the total number of candy in the box (6)

q = 3/6

The joint probability is:

P = p*q = (4/7)*(3/6) = 2/7

But, we also have the case where we first draw a kit-kat and after a twix, so we have a permutation of two, then the probability in this case is:

Probability = 2*P = 2*2/7 = 4/7