Digital music distribution provides an opportunity for everyone to get their music heard. In order to get on a service like iTunes, one needs to pay for distribution through a service like Tunecore or CD Baby. These services make sure that your music is heard on different platforms. One of the most important streaming services is SPOTIFY.



Suppose the distributor charges the artist a $50.00 cost for distribution, and the streaming services pay $5.00 per unit. (Note: One unit = one thousand streams)

Model the profit for the total number of streams by answering the questions below:

1. Use the cost for distribution to build the y-intercept. What is the y-intercept?
(Hint: the y-intercept is a point on the y axis, so the answer should be an ordered pair (x,y) . Keep in mind that money is being spent, and therefore must be deducted from the profit. If the y-intercept is incorrect, all related numbers will be incorrect.)

2. Use the payment per unit to build the slope. What is the slope?

3. Use the slope-intercept format (y=mx+b) to give the equation of the line. What is the equation of this line?

4. Graph the line by adjusting the sliders below. Show the line by attaching an image of the graph below. (Hint: take a screenshot and upload it as an image.)

Use the equation from question 3 to answer questions 5-7 . (Hint: Remember one unit = one thousand streams.)

5. After how many streams will the distributor charges be paid? (Hint: this is where the line crosses the x-axis. This is the break-even point.)

6. How many streams would it take to profit $950,000?

7. According to new research in 2021, Puerto Rican Reggaeton star Bad Bunny again took the title of most-streamed artist in the world on Spotify. He received over 9.1 billion streams (9,100,000,000) without releasing a new album last year.

Use this number of streams with your equation to calculate how much money Bad Bunny may have made via Spotify. (Worlds Most Streamed Songs (Spotify), 2021)

Fun Facts:

Bad Bunny is followed by singer-songwriter Taylor Swift, whose “Red” (Taylor’s Version) gave old and new fans alike a reason to relive the artist’s early groundbreaking work. Rounding up 2021’s top three is BTS. The globally beloved K-pop group had a standout year thanks to their single “Butter.”

Canadian hip-hop artists Drake—who released Certified Lover Boy in September—and Justin Bieber—whose 2021 album Justice featured collaborations with artists from across the globe—take spots four and five, respectively.

Answers

Answer 1

Based on the charge to the artist and the amount the streaming services pay, the following are true:

-50.5.y = 5x - 50.10,000 streams.190,010,000 streams

What model can be derived for the streaming data?

The y-intercept would be the amount that the artist has before they start making any money. In this case that amount is -$50 because they will owe the distributor.

The slope is the change per unit which is $5.00 here.

The formula is therefore:

y = mx + b

y = Slope × x + b

y = 5 × x + (-50)

y = 5x - 50

The number of streams to pay off the distributor is when the profit is $0:

0 = 5x - 50

50 = 5x

x = 10 units

Number of streams:

= 10 units x 1,000

= 10,000 streams

To make a profit of $950,000, the units are:

950,000 = 5x - 50

5x = 950,000 + 50

x = (950,000 + 50) / 5

= 190,010 units

Number of streams is:

= 190,010 x 1,000

= 190,010,000 streams

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Related Questions

Which relation is a function?

Which relation is a function?

Answers

The only graph that represents a function is: Graph D

How to identify a function?

A function is defined as a relationship or expression that involves one or more variables. It typically has a set of input and outputs.  Each input has only one output. The function is the description of how the inputs relate to the output.

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e., every X-value should be associated with only one y-value is called a function.

From the graphs, we can see that:

Graph A has 2 outputs at x = -2

Graph B has 2 outputs at x = 0

Graph C has two outputs at x = -1

Graph D has a unique output for every input and as such it is a function

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How many meters are in 3 kilometers?

A. 30 m
B. 300 m
C. 3,000 m
D. 30,000 m

Answers

Answer:

there are 3000 meters in 3 kilometres

Answer:

C. 3,000 m

Step-by-step explanation:

There are 1,000 meters in one kilometer, so 3 times 1,000. This gets you 3,000.

I need help with this question very fast !!

I need help with this question very fast !!

Answers

Answer:

angle a: 70°

angle d: 70°

angle dce: 35°

x: 15m

y: 14m

Step-by-step explanation:

all triangles add to 180° so 35 + 75 = 110 and 180-110 = 70

where the two triangles connect and cross, the angles will be the same so it will have the same angle measures as the first triangle which makes the triangles similar

knowing that they are similar triangles will help with figuring out the lengths of the sides.

since they are similar, their sides will be proportional, we just need to figure out the ratio

if we lay the triangles on top of each other, the two 75° angles match up and therefore the sides do too so we can make a fraction 12/18 = 10/x

now we can solve for x

multiply both sides by x

12x/18 = 10

now multiply both sides by 18

12x = 180

divide both sides by 12

x = 15

now we do the same for y

12/18 = y/21

12*21/18 = y

y = 14

hope this helps!

solve the simultaneous equation x + y = 2 and x - y = 1​

Answers

Answer:

(3/2, 1/2)

Step-by-step explanation:

Solve by elimination:

\(x+y=2\\+x-y=1\)

The y's cancel

\(2x=3\)

Divide by 2

\(x=\frac{3}{2}\)

Plug back in

\(\frac{3}{2} +y=2\)

subtract

\(y=2-\frac{3}{2}\)

\(y=\frac{1}{2}\)

So, your answer:

\((\frac{3}{2},\frac{1}{2})\)

Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8

Find the quotient of z by z2. Express your answer intrigonometricform. - 3 (0 (4) + (*))Z cos+/sinZ2

Answers

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Please help me solve this.

Please help me solve this.

Answers

\(\boxed{A}\\\\ U=5(2n+22)+2\left( n+\cfrac{3}{2} \right) \\\\\\ U=10n+110+2n+3 \implies U=12n+113 \\\\[-0.35em] ~\dotfill\\\\ \boxed{B}\hspace{5em}\textit{in 2009, that's 9 years after 2000, n = 9}\\\\ U(9)=12(9)+113\implies U(9)=221 ~~ millions\)

If BCDE is congruent to OPQR, Then DE is congruent to what? A. QR B. PQ C. OP D. OR

Answers

If BCDE is congruent to OPQR, then DE is congruent to QR .

Congruence means the same point on two different shapes , like parallels

so BC is congruent to OP

and

DE is congruent to QR

In plain English, two objects are said to be congruent if they overlap, i.e., have the same size and shape. If two angles have the same measure, they are said to be congruent. They are congruent if the sides' lengths line up.

Two triangles are said to be congruent if their sides and angles are an exact match.

Conditions for Congruence of Triangles:

SSS (Side-Side-Side)SAS (Side-Angle-Side)ASA (Angle-Side-Angle)AAS (Angle-Angle-Side)RHS (Right angle-Hypotenuse-Side)

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Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc? input your answer as a number only, in units of mpc.

Answers

Galaxy distance is 118 mpc.

Given:

Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc.

According to hubble's law:

v = \(H_0\\\) * D

where

v = velocity = 8254

\(H_0\\\) = hubble constant = 70

D = v/\(H_0\\\)

= 8254/70

= 4127/35

= 117.91

≈ 118 mpc.

Therefore Galaxy distance is 118 mpc.

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EFGH is a parallelogram. Find the measure of FG and EG

EFGH is a parallelogram. Find the measure of FG and EG

Answers

Answer:

FG = 44

EG = 80

Step-by-step explanation:

For FG:

1) 5z - 16 = 3z + 8

2) 5z = 3z + 24

3) 2z = 24

4) z = 12

5) 3(12) + 8 = 44

For EG:

1) 2w + 22 = 4w + 4

2) 2w = 4w - 18

3) -2w = -18

4) w = 9

5) 4(9) + 4 + 2w + 22 = 80

Floyd builds rectangles using matches, as shown below. When the length of the rectangle is 3 matches, he used 8 matches. When the length of the rectangle is 7 matches, he used 16 matches. How many matches does Floyd need to make a rectangle with length 20 matches? [Type in only o numeric digit as your answer with no spaces Answer: Search Q​

Answers

Floyd needs 33 matches to make a rectangle with a length of 20 matches.

To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.

From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.

Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.

First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.

Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.

Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.

Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.

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What does (2,7) look like on the coordinate plane.

Answers

Answer: from (0,0) (2,7) is 2 right from (0,0) and 7 up from (2,0)

Step-by-step explanation: go right 2 and 7 up

Answer:

okay so your coordiantes are in the form of (x,y) on a graph.You start at the origin and go to the right 2 units and up 7 units.

Step-by-step explanation:

Hope this helps!

-x - 1 = y can I get help

Answers

-x - 1 = y

its an equation of a straight line y= mx + b

Slope m is = -1. Is negative slope

b= -1 . Its y-intersect

−3=7(y − 9/7 ) plz help me with this

Answers

-3 = 7(y-9/7)

-3 = 7y - 63

7y = 66

y = 9.42857143

Answer:

Ok i will help you the answer is

Step-by-step explanation:

3=7(y 9/7 ) plz help me with this

3х + y 2 – 7
Linear inquality

Answers

Answer:

xfgn  

Step-by-step explanation:

Select a personal or professional example of a measurement you use routinely. Convert the measurement either from U.S customary units to metric units, or from metric units to U.S. customary units. You may choose more than one measurement and may choose among weight, length, temperature, etc. Show each step of your conversion and be sure to include all units from the original and converted measurements (for example, yards to meters, degrees Celsius to degrees Fahrenheit).

Answers

A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

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Write the fraction as a mixed number 10/20

Answers

1/2 is the mixed number fraction for 10/20

Which of the following is an Equivalent Fraction to: 3/8

Answers

Answer:

Step-by-step explanation: 8/3is equivalent fraction to three

Answer:

9/24

Step-by-step explanation:

URGENT *EASY 10 POINTS* : Show steps to get the expression ln(sqrt(2) +1) - ln(1/sqrt(2)) equal to -ln(1-(1/sqrt2))

Answers

Answer:

Step-by-step explanation:

To show that the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\), we can simplify both sides of the equation using the properties of logarithms. Here are the steps:

Step 1: Simplify the expression on the left side:

\(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\)

Step 2: Apply the logarithmic property \(\ln(a) - \ln(b) = \ln\left(\frac{a}{b}\right)\) to combine the logarithms:

\(\ln\left(\frac{\sqrt{2} + 1}{\frac{1}{\sqrt{2}}}\right)\)

Step 3: Simplify the expression within the logarithm:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)}\right)\)

Step 4: Simplify the denominator by multiplying by the reciprocal:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)} \cdot \sqrt{2}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{\left(\frac{1}{\sqrt{2}}\right) \cdot \sqrt{2}}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

Step 5: Simplify the numerator:

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

\(\ln\left(\sqrt{2}(\sqrt{2} + 1)\right)\)

\(\ln\left(2 + \sqrt{2}\right)\)

Now, let's simplify the right side of the equation:

Step 1: Simplify the expression on the right side:

\(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\)

Step 2: Simplify the expression within the logarithm:

\(-\ln\left(\frac{\sqrt{2} - 1}{\sqrt{2}}\right)\)

Step 3: Apply the logarithmic property \(\ln\left(\frac{a}{b}\right) = -\ln\left(\frac{b}{a}\right)\) to switch the numerator and denominator:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

Step 4: Simplify the expression:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

\(-\ln\left(\frac{\sqrt{2}(\sqrt{2} + 1)}{1}\right)\)

\(-\ln\left(2 + \sqrt{2}\right)\)

As we can see, the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) simplifies to \(\ln(2 + \sqrt{2})\), which is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\).

Find the volume V of the described solid S. The base of S is a circular disk with radius 4r. Parallel cross-sections perpendicular to the base are squares.

Answers

Answer:

(1024/3)r^3.

Step-by-step explanation:

Step one: So, we have that x^2 + y^2 = 4^2 × r^2(when z component = 0) . Hence, there is the need to make y^2 the subject of the formula.

Step two: 4y^2 = 16r^2 - x^2. Where 4 ×(16r^2 - x^2) is the the cross sectional area.

Step three: the next thing to do here is to integrate the cross sectional area making 4r and -4r the upper limit and lower limit for the integration.

Step four: the integration will then give a product (16 × 64)/3 A = (1024/3)r^3.

HELPPPPPPPPPPPPPPPPPPPPPPPPPP
Which intervals is this function graph decreasing? Select 2 answers. *
[ -5.5, -5]
[ -5, -4]
[ -3, 1]
[1,2]

HELPPPPPPPPPPPPPPPPPPPPPPPPPPWhich intervals is this function graph decreasing? Select 2 answers. *[

Answers

2 Answers:

Choice B.   [-5, -4]

Choice D.  [1, 2]

===================================================

Explanation:

We're looking for portions when the graph goes downhill when we move from left to right.

The first portion is from x = -5 to x = -4. So we write [-5, -4] which represents \(-5 \le x \le -4\)

The second portion is [1, 2] which goes downhill since the interval starts at x = 1 and stops at x = 2.

The portions are highlighted in the diagram below.

As you can see, we only care about the x values for any given interval. The y values don't matter as long as they decrease along the interval.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPWhich intervals is this function graph decreasing? Select 2 answers. *[

How many centiliters are in 0.00005 liters?

0.00005 L = [?] cL in standard form. ​

Answers

The number of centilitres which is equivalent to 0.00005 liters as required to be expressed in standard form is; 5 × 10-² cL.

What is the number of centilitres in 0.00005 litres?

Recall that; it follows from metric systems that;

100 centilitres = 1 litres.

On this note, it follows from proportion that the number of centilitres present in 0.00005 litres as required is;

= 0.00005 × 100 centilitres

= 0.005 centilitres.

Ultimately, when expressed in standard form, it follows that the number of centilitres in 0.00005 liters is; 5 × 10-² cL.

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this figure has rotational symmetry. what is true about the figure?

this figure has rotational symmetry. what is true about the figure?

Answers

Answer:

It also has reflectional symmetry.

It would look the same rotated 90x°, where x is any integer;

All statements pertaining to rotation do not fit with the rotational symmetry that we can observe does apply;

This leaves the only remaining statement: It also has reflectional symmetry;

This, we can verify as well since the image is symmetrical reflected in a vertical line, horizontal line or either diagonal line bisecting the right angles between the vertical and horizontal line

Answer:

Step-by-step explanation:


In the diagram a person who is ft tall is standing on the ground ft away from point . A line segment drawn from the top corner of the building to point creates two similar triangles.

Answers

The height of the building, using similar triangles, is given by:

36 feet.

What are similar triangles?

Similar triangles are two triangles that share these two features, which are listed as follows:

Same angle measures.Proportional side lengths.

The second bullet point, regarding proportional side lengths, is especially relevant in the context of this problem, as a proportional relationship is built to find the height h of the building.

From the similar triangles, the equivalent side lengths are presented as follows:

3 ft and 18 ft.6 ft and h ft.

Hence the proportional relationship that models this situation is presented as follows:

3/18 = 6/h.

Applying cross multiplication, the height of the building is obtained as follows:

3h = 18 x 6

h = 6 x 6 (simplifying by 3)

h = 36 feet.

Missing Information

The diagram is given by the image shown at the end of the answer.

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In the diagram a person who is ft tall is standing on the ground ft away from point . A line segment

A circular table top has a radius of 85 cm.
A force of 630 N is applied to the whole table top.
Calculate the pressure in N/m2 to 4sf.

Answers

85cm is 0.85m
Area is 0.85*0.85*pi = 2.26980069222

630/2.26980069222 = 277.557409406

To 4sf: 277.6N/m^2

The area of a 2D form is the amount of space within its perimeter. The pressure on the table is 277.5574 N/m².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given that the radius of the table is 85 centimetres. Therefore, the radius of the table in meter can be written as,

1 meter = 100 centimeter

85 centimeter = 0.85 meter

Now, the area of the table is,

Area of the table top = π × r²

                                   = π × (0.85 meter)²

                                   = 2.2698 meter²

Further, it is given that the force of 630 N is applied to the whole table top. Therefore, the pressure on the table can be written as,

Pressure = Force / Area

               = 630N / 2.2698 meter²

               = 277.5574 N/m²

Hence, the pressure on the table is 277.5574 N/m².

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I bought my daughter 2 guppy fish for her birthday. Guppy populations grow at a rate of 1700% per month. Write a formula that models the population of guppies and find the number of guppies I will have in 4 months.

Answers

After 4 months, you will have approximately 4 guppy fish.

How to model the function?

The initial number of guppies as; a = 6

The growth of the number of guppies is modeled by an exponential function.

Let P be the initial population of guppy fish and n be the number of months elapsed. Then the population of guppies after n months can be modeled by the formula:

\(P(n) = P * (1 + r)^n\)

where r is the monthly growth rate expressed as a decimal. In this case, r = 1700% / 100% = 17.

So the formula for the population of guppies after n months is:

\(P(n) = P * (1 + 0.17)^n\)

If you bought 2 guppy fish initially, then P = 2. So the formula becomes:

\(P(n) = 2 * (1 + 0.17)^n\)

To find the population after 4 months, we plug in n = 4:

\(P(4) = 2 * (1 + 0.17)^4\\\\P(4) = 2 * 2.0104\\\\P(4) = 4.0208\)

So after 4 months, you will have approximately 4 guppy fish.

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HELPPPPPPP PLZ‼️‼️A_____ is a result that has been proven.

Answers

accurate is the answer

14. Find the distance between (7,217pi/180 ) and (5,-23pi/36 ) on the polar plane.

Answers

Answer: the distance is  3.49 units

Step-by-step explanation:

There are some ways to find the exact distance, i will calculate the distance in rectangular coordinates.

When we have a point (R, θ) in polar coordinates, we can transform it into rectangular coordinates as:

x = R*cos(θ)

y = R*sin(θ)

Then we have:

(7,217pi/180 )

R = 7

θ = (217/180)*pi

x = 7*cos( (217/180)*pi) = -5.59

y = 7*sin( (217/180)*pi) = -4.21

So this point is (-5.59, -4.21) in rectangular coordinates.

And the other point is  (5,-23pi/36 )

R = 5

θ = -(23/36)*pi

x = 5*cos(  -(23/36)*pi ) = -2.11

y = 5*sin(  -(23/36)*pi ) = -4.53

So this point is (-2.11, - 4.53)

Then the point distance between those points is:

D = I (-2.11, -4.53) - (-5.59, -4.21) I

D = I (-2.11 + 5.59, -4.53 + 4.21) I

D = I (3.48, -0.32) I = √( (3.48)^2 + (-0.32)^2) =  3.49

10. In this university, among all students, 15% are senior, 25% are junior, 25% are sophomore, and so 35% are freshmen. Among senior, 40% have scholarship; among junior, 30% have scholarship; among sophomore, 20% have scholarship, and among freshmen, 10% have scholarship. Among those have scholoarship, what is the percentage of studens who are senior

Answers

Answer:

27.27% of the students with scolarship are seniors.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has scolarship

Event B: Is a senior

15% are senior, and of those, 40% have scolarship. So

\(P(A \cap B) = 0.15*0.4 = 0.06\)

Probability of a scolarship:

15% of 40%(seniors)

30% of 25%(juniors)

20% of 25%(sophmores).

10% of 35%(freshmen). So

\(P(A) = 0.15*0.4 + 0.3*0.25 + 0.2*0.25 + 0.1*0.35 = 0.22\)

Percentage:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.22} = 0.2727\)

0.2727*100 = 27.27%

27.27% of the students with scolarship are seniors.

while eating your yummy pizza, you observe that the number of customers arriving to the pizza station follows a poisson distribution with a rate of 18 customers per hour. on average, how many customers arrive in each 10 minutes interval?

Answers

In every 10 minutes an average of 3 customers will arrive to the pizza station

Given,

The number of customers arriving to the pizza station follows a poisson distribution with a rate of 18 customers per hour.

We have to find the average number of customers arrives in each 10 minutes.

Here,

The chance that X represents the number of successes of a random variable in a Poisson distribution is provided by the following formula:

P (X = x) = (e^-μ × μ^x) / x!

Where,

The number of successes is x.

The Euler number is e = 2.71828.

μ is the average over the specified range.

Now,

Rate of 18 customers per hour;

μ = 18 n

n is the number of hours.

Number of customers arrive in each 10 minutes

10 minutes = 10/60 = 1/6

Then,

μ = 18 x 1/6 = 3

That is,

In every 10 minutes an average of 3 customers will arrive to the pizza station.

Learn more about average number of customers here;

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If the statement 4 > 3 is true, which of the following are true about the relationship between –4 and –3? Check all that apply.
–4 < –3
The inequality changes from greater than to less than because -4 is less than -3.
–4 > –3
The greater than inequality holds true even when the opposites of 4 and 3 are used.
–4 = –3

Answers

Answer:

A AND B

Step-by-step explanation:

TRUST MEEEEE FRENZ:)

If 4 > 3 then - 4 < -3 is true because when additive opposites of numbers are used inequality get reversed.

What is an inequality?

Inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.

Given inequality,

4 > 3

If we multiply with -1 on both sides inequality get reversed

-1 × 4 > -1 × 3

-4 < -3.

Hence, the inequality changes from greater than to less than  when opposites of 4 and 3 are used.

Learn more about inequality here:

https://brainly.com/question/30231190.

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