Carter has 153 songs on a playlist. He's categorized them in the following manner: 20 country, 31 blues, 8 Latin American, 17 jazz, 26 rap, 14 folk, and 37 hip hop. If Carter begins listening to his playlist on shuffle, what is the probability that the first song played is a folk song? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answers

Answer 1

the probability that the first song played is a folk song is 9.1%.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

Carter has 153 songs on a playlist. He's categorized them in the following manner:

20 country, 31 blues, 8 Latin American, 17 jazz, 26 rap, 14 folk, and 37 hip hop.

The number of folk songs is 14

P(folk) = number of folk songs/ total

= 14/ 153

=0.091

Hence the probability that the first song played is a folk song is 9.1%.

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Related Questions

the product of 0.8 and a number is 12represent the statement as an equation determine the solution set using the replacement set 0 8 1 7 15

Answers

Answer:

The product of 0.8 and a number is 12, so the equation representing this statement is: 0.8 * x = 12.

To solve this equation, we need to find the value of x that makes the equation true. We can do this by using the replacement set {0, 8, 1, 7, 15}.

If we substitute 0 for x in the equation, we get: 0.8 * 0 = 12. This equation is not true, so 0 is not a solution.

If we substitute 8 for x in the equation, we get: 0.8 * 8 = 12. This equation is not true, so 8 is not a solution.

If we substitute 1 for x in the equation, we get: 0.8 * 1 = 12. This equation is not true, so 1 is not a solution.

If we substitute 7 for x in the equation, we get: 0.8 * 7 = 12. This equation is not true, so 7 is not a solution.

Finally, if we substitute 15 for x in the equation, we get: 0.8 * 15 = 12. This equation is true, so 15 is a solution.

Therefore, the solution set for this equation is {15}.

Answer:  0.8x=12

x=15

Step-by-step explanation:

0.8x=12

x=15

15*0.8=12

What’s

: -4 (2x + 4) = 5

Please explain step by step to get picked brainliest!

Answers

Answer:

[tex]x=-\frac{21}{8}[/tex]

Step-by-step explanation:

[tex]-4(2x+4)=5 \\ \\ 2x+4=-\frac{5}{4} \\ \\ 2x=-\frac{21}{4} \\ \\ x=-\frac{21}{8}[/tex]


3. There are five different tables in the class and five students. Each table can be occupied by only onestudent. Their
studying year consists of 200 days. As a small prank on their teacher students would like to sit in a new way every
day, so there are no two days during their studying year such that all students are occupying the same tables.
They would like to see whether this is possible. How many ways are there for them to sit in the class?

Answers

There are 3,125 different places to sit if they don't mind sharing s desk sometimes and there are 120 different places to sit, if they all sit on separate tables.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that there are five different tables in the class and five students

Each table can be occupied by only one student

There are 200 days of studying years.

As a small prank on their teacher students would like to sit in a new way every day, so there are no two days during their studying year such that all students are occupying the same tables.

5×4×3×2×1 = 120

There are 120 different places to sit, if they all sit on separate tables.

5×5×5×5×5 = 3,125

There are 3,125 different places to sit if they don't mind sharing s desk sometimes.

Hence, there are 120 different places to sit, if they all sit on separate tables and there are 3,125 different places to sit if they don't mind sharing s desk sometimes.

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Which values of m
b and b will create a system of equations with no solution? Select two options.
y = mx + b
y=-2x+3/2

Answers

Answer:

m = -2; b can be any number other than 3/2

Step-by-step explanation:

There is no solution when the lines are parallel.

To have parallel lines you need equal slopes and different y-intercepts.

Answer: m = -2; b can be any number other than 3/2

Which of the following numbers are irrational?
-4.8237, π/2, ³√/4, 4+√25

π/2 and ³√4
-4.8237 and 4+√25
-4.8237 and π/2
³√4 and 4+√25

Answers

The irrational numbers are option (A)  π/2 and [tex]\sqrt[3]{4}[/tex]

The rational numbers are the numbers that can be expressed in the p/q form

The irrational numbers are the numbers that cannot be expressed in the p/q form.

The first number is -4.8237

This can be expressed in p/q form

It is a rational number

The second number is π/2

This cannot be expressed in p/q form

It is an irrational number

The third number is [tex]\sqrt[3]{4}[/tex]

We cannot express this in p/q form

It is an irrational number

The fourth number is 4 + [tex]\sqrt{25}[/tex]

Find the square root

4 + 5 = 9

This is a rational number

Therefore, the rational numbers are π/2 and [tex]\sqrt[3]{4}[/tex]

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The assets and liabilities of a local surf shop are listed below.


Building Mortgage $109,850
Other Debt $35,988
Accounts Receivable $10,760
Property Value $162,974
Long Term Investments $238,000
Small Business Loan $62,700
Long Term Liabilities $38,000
Owned Inventory $72,980
Cash $215,083
Savings Account $128,721
Owned Equipment $30,971


The surf shop owner receives notice that the property value has increased by $20,000. What is the net worth of the surf shop?
$859,489
$879,489
$612,951
$632,951

PLEASE HELP

Answers

Answer:  $879,489

Step-by-step explanation:

When it comes to a business net worth is simple:

           assets - liabilities = net worth.

Assets are an expenditure that has utility through multiple future accounting periods.  For example, a company pays its electrical bill. This expenditure covers something (electricity) that only had utility during the billing period; therefore, it is recorded as an expense.

Conversely, the company buys a machine, that it expects to use for the next five years. Since this expenditure has utility through multiple future periods, it is recorded as an asset.

Cash, savings, inventory, investments, equipment, and receivables are also assets. Basically, anything that is owned and could be liquidated for cash.

Accounts Receivable $10,760Property Value $162,974Long-Term Investments $238,000Owned Inventory $72,980Cash $215,083Savings $128,721Owned Equipment $30,971

In simple terms a liability is something that is owed to someone else:

Building Mortgage $109,850Other Debt $35,988Small Business Loan $62,700Long-Term Liabilities $38,000

Help plsssssssssssss

Answers

Answer: thanks for the ponts

Step-by-step explanation: ahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Type the correct answer in each box. Use numerals instead of words.
3^1/5
The expression above can also be written in the form (image because I can't type it).

For this expression,
a =
and b =
.

Answers

The value of a is 3.

The value of b is 5.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]3^{1/5}[/tex]

This expression can be written as 5 roots of 3.

[tex]\sqrt[5]{3}[/tex]

Thus,

The value of a and b from the expression [tex]3^{1/5}[/tex]are 3 and 5.

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NO LINKS!! Help me with the 2-Column Proof Part 3aa​

Answers

Here is the two column proof:

    Statement                                        Reason                                              

RD bisects OS                              GivenA is the point of intersection       Shown on the diagramOA ≅ AS                                       Definition of a segment bisector

       

Proved

The y-intercept of the line y=-4 x-7 is
a. -7
c. 4
b. -4
d. 7
B
A
D
C

Answers

The y-intercept of a line is where it meets the y-axis.  

This y-axis occurs at x = 0.

Simply input x = 0 into the line y = -4x - 7

y = -4(0) - 7

y = -7

y - intercept (we also like to abbreviate that y-int) = -7

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

Answer: -7

Step-by-step explanation:

Since the answer is already in slope intercept form x=-4 and y = -7

A door is 2 feet off the ground and a contractor needs to develop a wheelchair ramp to go on it. Ramps have to be in a ratio of 1:12 slope. How far away from the house would the ramp have to start. Explain

Answers

The slope of the ramp is the ratio of the y and x coordinates thus it will be 24 feet.

What is the slope?

A slope is a tangent or angle at a point or a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

The situation is making a right-angle triangle as shown below.

The slope of the wheelchair = 2 feet / x

2/x = 1/12

x = 2 x 12 = 24 feet

Hence "The ramp will be 24 feet long since the slope is determined by the ratio of the y and x variables".

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Find value of x and show work please

Answers

Answer:

D) 4, H) 14

Step-by-step explanation:

D) both angles form a linear pair so 101-5x + 2x+70 = 180

Simplify

171-3x = 180

-3x = 9

x = -3

H) 11x-23 = 41 + 90 because they are opposite angles

Simplify

11x = 154

x = 14

x (4.4) (1.4)
x=5


Help me solve this question please

Answers

Solve x(4.4)(1.4) given that x = 5

Plug x into equation

5(4.4)(1.4)

Distribute 5 into 4.4

22(1.4)

Distribute 22 into 1.4

30.8

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

what is the additive inverse of -17-25

Answers

Answer: 42

Step-by-step explanation: ik additive inverse

Use the number line to plot –3, 1, and 3. Which statements are true? Select all that apply. –3 > 1 –3 = 3 1 < 3 –3 < 1

Answers

when me I would say the 1st one but who knows lol

solve this
6/7 × 1/2 = ?

Answers

Answer:

To solve this problem, we need to first perform the multiplication. In mathematics, multiplication is performed before division, so we should calculate the product of 6/7 and 1/2 before dividing it by any other number. To find the product, we simply multiply the numerators together to get 6 and the denominators together to get 14. So the product of 6/7 and 1/2 is 6/14.

Step-by-step explanation:

Cassidy has 10 feet of thread. She wants to cut the thread into 1 1/6 foot pieces to make necklaces. How many full necklaces can Cassidy make? 

Answers

Answer:8

Step-by-step explanation: 10/ 1 1/6 so the equals to 8 4/7 but the problems says whole necklaces to the answer is 8

A factory made 3 jars of creamy peanut butter and 97 jars of chunky peanut butter. What percentage of the jars of peanut butter were creamy?

Answers

Answer:

3%

Step-by-step explanation:

They made 97+3 total jars, 3 out of 100 is 3 percent.

In the diagram below of triangle BCD, E is the midpoint of BD and F is the midpoint of CD. If EF = 43-4x, and BC = 32-2x, what is the measure of EF?

Answers

The measure of the length EF of the triangle is; 21

How to solve similar triangles?

We are given the the triangle BCD and we are told that;

E is the midpoint of BD.

F is the midpoint of CD

Now, since we have those midpoints, it means that by the concept of similar triangles, that;

DF/DC = EF/BC

Since F is the midpoint of DC, then it means that;

2DF = DC

We are given;

EF = 43 - 4x, and BC = 32 - 2x

Thus, we now have;

DF/(2DF) = (43 - 4x)/(32 - 2x)

1/2 = (43 - 4x)/(32 - 2x)

Cross multiply to get;

32 - 2x = 43 - 4x

4x - 2x = 43 - 32

2x = 11

x = 11/2

x = 5.5

Thus;

EF = 43 - 4(5.5)

EF = 43 - 22

EF = 21

Thus, we conclude that the side length EF is 21.

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The table shows Adam's age and shoe size. Generate a linear regression equation for the data. Then, use the equation to predict Adam's shoe size when he is 14-years-old.

Answers

The linear regression equation for the data is given as follows:

y = 0.55x + 0.3.

The prediction of Adam's shoe size when he is 14-years-old is given by the following option:

A. 8.

How to obtain the equation for the regression line?

The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.

From the table, the points are given as follows:

(6,3), (8, 4.5), (10,5), (12, 7.5).

Inserting these points into a calculator, the regression equation predicting the shoe size at an age of x is given as follows:

y = 0.55x + 0.3.

Then the estimate for the shoe size at an age of 14 is found when x = 14, hence:

y = 0.55(14) + 0.3 = 8.

Meaning that option A is correct.

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If a triangle has lengths of 11tf and 24ft, check all the possible lengths for the third side

Answers

All the possible lengths for the third side lie between 13 to 35 feet.

What is a triangle Inequality Theorem?

In Euclidean geometry, the theorem is that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c. In essence, the theorem states that the shortest distance between two points is a straight line.

The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

So, a difference of two sides <x< sum of two sides, will give you the possible length of a triangle.

Therefore, 24 − 11 < x < 24 + 11

13 < x < 35 is the possible length of the third side of a triangle.

13 < x < 35 satisfies the triangle inequality theorem.

Hence, all the possible lengths for the third side lie between 13 to 35 feet.

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18. Which of the following is an equation of the line parallel to y = 5x+8 that passes through the point
(4, -3)?

Answers

Answer:

y=5x-23

Step-by-step explanation:

y=mx+b is the slope intercept form

m is slope

And b is y intercept

We know the line will have a slope of 5 since they are parallel both lines will have the same slope

y=5x+b

To find b we put in the given coordinates (4,-3)

-3=5(4)+b

-3=20+b

-20 -20

-23=b

Now we just plug in b

y=5x-23

Hopes this helps

they figure that the waterfall is at point (3'6). The overlook is at point (0.1). the campsite is at point (3-5). The lake is at point (-4,1). And the parking lot is at point (0.5). Which of these pairs of locations are closest to one another

Answers

Answer:

Step-by-step explanation:

I'm sorry, but I'm not sure what you're asking. It's not clear to me what you mean by "point (3'6)" or "(3-5)." Could you please provide more information or clarify your question

Cashews cost $63.00 per 5 pound bag. How much would a 2 pound bag of cashews cost?

Answers

Answer would be $25.20 for 2 pounds of cashews

1. Which of the following identifies the a, b, c, and d of the absolute value function g(x) = −|2x| + 5?

Answers

The parameters of the absolute value function g(x) = -|2x| + 5 are given as follows:

a = -1.b = 2.c = 0.d = 5.

How to obtain the parameters of the absolute value function?

The standard definition of the absolute value function is given as follows:

f(x) = a|bx + c| + d.

The meaning of each parameter is given as follows:

a is the coefficient of vertical stretch/compression.b is the coefficient of horizontal stretch/compression.c is the coefficient of horizontal shift.d is the coefficient of vertical shift.

In this problem, the function is defined as follows:

g(x) = −|2x| + 5.

Compared with the standard absolute value function, the values of these parameters are given as follows:

a = -1, b = 2, c = 0, d = 5.

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Which expression is equivalent to 2 (x -2 ) -5 (2x -3)

A: 2x - 4 - 10x - 15

B: 2x - 4 - 10x + 15

C: 2x - 2 - 10x - 3

D: 2x - 2 - 10x +15

Answers

The expression equivalent to the given expression 2(x -2)-5(2x -3) is

(2x-4-10x+15)

What is an expression?

An expression in maths, a sentence with a minimum of two numbers or variables and at least one maths operation.

Given is an expression, 2(x -2)-5(2x -3)

Using distributive property,

a(b+c) = ab+bc

2(x -2)-5(2x -3) = 2x-4-10x+15

Hence, The expression equivalent to the given expression 2(x -2)-5(2x -3) is (2x-4-10x+15)

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If A = {x|x is an odd integer), B = {2, 3, 4, 5), list the elements of the set AUB.
Choose the correct answer below.
O A. {x x is an even integer or x = 2 or x = 4}
O B. {x|x is an even integer or x = 3 or x = 5}
OC. {x|x is an odd integer or x = 3 or x = 5}
OD. {xx is an odd integer or x = 2 or x = 4}

Answers

Answer:

D)  {x: | x is an odd integer or x = 2 or x = 4}

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

Given two sets:

A = {x: | x is an odd integer}, B = {2, 3, 4, 5}

Both sets include 3 and 5 so the combination is all the elements of the A and two unique elements of the B:

A∪B = {x: | x is an odd integer or x = 2 or x = 4}

The matching choice is D.

#19 i
Solve the system of linear equations by elimination.
1.5x - 9y = -21
-1.5x - 3y = 9
The solution is:

Answers

Answer:

to solve a system of linear equations by elimination, we need to eliminate one of the variables, for example, we could add the two equations together to eliminate the variable y. However, we need to make sure that the coefficients of the two equations are the same before we can add them together. We can do this by multiplying the first equation by -1.5 and the second equation by 1.5. This gives us the following system of equations:

-2.25x - 13.5y = -31.5

2.25x - 4.5y = 13.5

We can now add these two equations together to eliminate the variable y, which gives us the following equation:

0 = -18

This equation is not possible, so the system of equations does not have a solution.

Answer:

Math  can help you get your answer it has a linear equation by option

Step-by-step explanation:

In the scale used on a blueprint, inch represents 2 feet. On the blueprint what is the length of a room with an actual length of 20 feet?

Answers

On the blueprint what is the length of a room is 5square inch.

What is square?

A square is a quadrilateral because it has four equally sized sides. Our immediate surroundings is filled with many square-shaped things. Equal sides and interior angles of 90 degrees help you identify each square form. A closed form known as a square has four equal sides and two interior angles that are both 90 degrees. A square has a wide range of characteristics.

Given the square bedroom have 3 feet side

The area of the bedroom is = 3² = 9 sq inch

1 inch = 2 feet

1 square inch = 4 square feet

20 square feet = 5square inch

Hence, On the blueprint what is the length of a room 5square inch.

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The general form of a hyperbola is 6x2−5y2+12x+50y−149=0.

What is the standard form of this hyperbola?

Enter your answer by filling in the boxes.

Answers

The quadratic equation (x + 1)² / 46.667 - (y - 5)² / 56 = 1 represents the hyperbola in standard form.

How to derive the standard form of the equation of a hyperbola

In this question we find the equation of a hyperbola in general form, that is, a quadratic equation of the form A · x² + B · y² + C · x + D · y + E = 0, and we need to obtain the standard form of the hyperbola:

(x - h)² / a² - (y - k)² / b² = 1

Where:

(h, k) - Coordinates of the center.a, b - Length of the semiaxes.

We can switch from general form into standard form by completing the square, an application of algebra properties:

6 · x² - 5 · y² + 12 · x + 50 · y - 149 = 0

(6 · x² + 12 ·  x) - (5 · y² - 50 · y) = 149

6 · (x² + 2 · x) - 5 · (y² - 10 · y) = 149

6 · (x² + 2 · x + 1) - 5 · (y² - 10 · y + 25) = 149 + 6 + 125

6 · (x + 1)² - 5 · (y - 5)² = 280

(x + 1)² / 46.667 - (y - 5)² / 56 = 1

The equation of the hyperbola in standard form is (x + 1)² / 46.667 - (y - 5)² / 56 = 1.

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