There are 43 jazz songs, 56 rock songs, and 16 country songs on your music player. If you set your music player on random, what is the probability that the next song will be a country song? Give your answer as a decimal rounded to the nearest thousandth

Answers

Answer 1

Answer:

0.139

Step-by-step explanation:

total = 43 + 56 + 16 = 115

country songs = 16

p(country song) = 16/115 = 0.139


Related Questions

Find the distance between the points A and B given below. (That is, find the length of the segment connecting A and B.) Round your answer to the nearest hundredth. 1 unit B​

Answers

Answer:

theres no picture

-3y+7y+4y^3-2y^2+6y^3-7y^3-5y

Answers

If you simplify it, it’ll become 3y^3-2y^2-y
answer: y(y-1)(3y+1) explanation: look it up

what is the answer to −4.2+3.3=

Answers

answer: -0.9

correct me if I'm wrong

Ethan got his first job and is making $8.50 an hour. He really wants to buy a couple of video games, so he is trying to estimate how much his paycheck will be. The first week Ethan works, he gets 18 hours. The second week Ethan works, he gets 25 hours. If Ethan pays 10% federal income tax and 2% state income tax, what can he expect to bring home in his first paycheck?

Answers

If Ethan got his first job and is making $8.50 an hour. He really wants to buy a couple of video games, so he is trying to estimate how much his paycheck will be. The amount he can expect to bring home in his first paycheck is: $321.64.

Paycheck

Total hours=18 hours+25 hours

Total hours=43 hours

Income tax=Federal income tax+ State income tax

Income tax=10%+2%

Income tax=12%

Hence,
First paycheck:

First paycheck=$8.50×43 hours×(1-12%)

First paycheck=$8.50×43 hours×0.88

First paycheck=$321.64

Therefore if Ethan got his first job and is making $8.50 an hour. He really wants to buy a couple of video games, so he is trying to estimate how much his paycheck will be. The amount he can expect to bring home in his first paycheck is: $321.64.

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A Web music store offers two versions of a popular song. The size of the standard version is 2.9 megabytes (MB). The size of the high-quality version is 4.1 MB. Yesterday, there were 1360 downloads of the song, for a total download size of 4532 MB. How many downloads of the high-quality version were there?

Answers

The number of standard version download and high-quality download is 870 and 490 respectively.

Number of downloads of the high-quality version

let

Number of high-quality download = yNumber of standard version = x

x + y = 1360

2.9x + 4.1y = 4532

From (1)

x = 1360 - y

Substitute x = 1360 - y into (2)

2.9x + 4.1y = 4532

2.9(1360 - y) + 4.1y = 4532

3944 - 2.9y + 4.1y = 4532

- 2.9y + 4.1y = 4532 - 3944

1.2y = 588

y = 588/1.2

y = 490

Substitute y = 490 into (1)

x + y = 1360

x + 490 = 1360

x = 1360 - 490

x = 870

So therefore, number of standard version download and high-quality download is 870 and 490 respectively.

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In Smithville, there were 234 teachers in 1990 and 318 teachers in 2000. Find the percent of increase in the number of teachers in Smithville during this time period.

Answers

Answer:

35.90%

Step-by-step explanation:

First, subtract the new no with that of 1990

318-234= 84

percentage of increase will be given by;

84/234×100= 35.8974%

A family is planning their vacation to Disney World. They will drive from a small town outside New Orleans,
Louisiana, to Orlando, Florida, a distance of 700 miles. They plan to average a rate of 55 mph. How long will this
trip take?

Answers

The time taken for the trip will be 12.7 hours.

How to calculate the value?

It should be noted that time taken is calculated as:

Time = Distance / Speed

Distance = 700 miles

Speed = 55 mph

Time = 700/55

Time = 12.7 hours.

Therefore, the time taken for the trip will be 12.7 hours.

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Which of the following correctly explains how the Product of Powers and Quotient of Powers Properties helps you to multiply and divide numbers
in scientific notation?
OA) Each number has a factor that is a power of 10. Because the bases are the same, these properties can be applied to multiply or di-
vide the powers of 10.
OB) Because numbers written in scientific notation have exponents, you can use the Laws of Exponents to multiply or divide the
numbers.
OC) The Product of Powers Property and the Quotient of Powers Property can be used to multiply and divide any numbers.
OD) Each number has a factor that is a power of 10. Because the bases are different, these properties can be applied to multiply or di-
vide the powers of 10.

Answers

The correct option regarding the operations with scientific notation is given as follows:

B) Because numbers written in scientific notation have exponents, you can use the Laws of Exponents to multiply or divide the numbers.

What is scientific notation?

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

An example of a multiplication in scientific notation is:

[tex]2 \times 10^3 \times 3 \times 10^5 = 6 \times 10^{3 + 5} = 6 \times 10^8[/tex]

That is, we multiply the factors, and for the bases of 10, we keep the bases and add the exponents. In a division, we would divide the factors, and for the base of 10, we keep the base and subtract the exponents.

That is, since the numbers have exponents, rules of exponents are used for both multiplication and division, and option b is correct.

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Hi

The following set of four ordered pairs below defines the vertices, in counterclockwise order, of a quadrilateral (four-sided figure).
((-4, 1), (1, 2), (-1,6).(-6,5)}
Step 1 of 3: Find the slopes of the indicated sides of the quadrilateral. Simplify your answer.

Side connecting (-4,1) and (-6,5)
Side connecting (1, 2) and (-1,6)
G
7
a
Suba

Answers

The slope of the side connecting (-4,1) and (-6,5) = -2

The slope of the side connecting (1,2) and (-1,6) = -2

The slope of the segment joining two points (x₁, y₁) and (x₂, y₂) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

We have to find the slope of the side joining the points (x₁, y₁) = (-4,1) and (x₂, y₂) = (-6,5)

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

          = [tex]\frac{5-1}{-6--4}[/tex]

          = 4/ -2

          = -2

We have to find the slope of the side joining the points (x₁, y₁) = (1, 2) and (x₂, y₂) = (-1,6)

Slope =  [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

          = [tex]\frac{6-2}{-1-1}[/tex]

          = 4/-2

          = -2

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if LK=MK, LK=7x-10, KN=x+3, MN=9x-11, and KJ=28, find LJ

Answers

Congruent segments are LK=MK, LK=7x-10, KN=x+3, MN=9x-11, and KJ=28,  the LJ  will be-

LJ = 18 + 28 = 46

LJ = 18 + 28 = 46

These are  Congruent segments

Let J, K, L, M, N are points on the same line.

MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14

As LK = MK and LK = 7x - 10, then

7x - 10 = 8x - 14

8x - 7x = -10 + 14

x = 4

LJ = MK + KJ

MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18

LJ = 18 + 28 = 46

Congruent segments are segments which have the equal length. ≅ points that lie at the equal line are called collinear.

A theorem is a mathematical assertion that can be proved. The midpoint of a phase is a point that divides the phase into two congruent segments

If three or more points lie on a single straight line, they are said to be collinear. An axis is a term used to describe a line on which points are located, particularly if that line is connected to a triangle or other geometric shape. Since two points determine a line, two points are trivially collinear.

Two line segments are congruent if they have the same length. They do not need to have the same position or orientation

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What’s the volume of a 9ft rectangular prism

Answers

The volume of the prism with length as 9 feet will be 9 w h where w is the width and h is the height of the prism.

We are given a prism.

It is a rectangular prism.

We are also given that it if 9 feet.

We need to find the volume of this rectangular prism.

V = w × h × l

where

w = width of the prism

h = height of the prism

l = length of the prism

Now, we are given that l = 9 feet

So, V = w × h × l

V = 9 w h

Therefore, we get that the volume of the prism with length as 9 feet will be 9 w h where w is the width and h is the height of the prism.

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Can somebody help me if you know what this is

Answers

Answer:-2,2.5,-7/3

Step-by-step explanation:

Lisa, Bree, and Caleb are meeting at an amusement park. They each enter at a different gate. On this diagram of the park, explain how the friends could calcuate the point that is equistant from all three gates

Answers

By joining the entry point of all three friends to form a triangle and then finding the centroid of this triangle , they can calculate the required point.

If Lisa, Bree, and Caleb are meeting at an amusement park and  each enter at a different gate as shown in reference picture attached hereby, the friends could calculate the point that is equidistant from all three gates by the equation [(Distance between gate 1 and gate 2) = (Distance between gate 2 and gate 3) = (Distance between gate 1 and gate 3)]

As per question statement, Lisa, Bree, and Caleb are meeting at an amusement park and  each enter at a different gate as shown in reference picture attached hereby.

We are required to determine to calculate the point that is equidistant from all three gates.

The required equation goes as  [(Distance between gate 1 and gate 2) = (Distance between gate 2 and gate 3) = (Distance between gate 1 and gate 3)],

Where, they will have to use the distance formula to find the distances in between which goes as [tex]D=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2} }[/tex], in the above mentioned equation.

Equation: In mathematics, an equation is a formula or a mathematical statement, that expresses the equality of two expressions, by connecting them with the "Equal To" sign.

Complete question: Lisa, Bree, and Caleb are meeting at an amusement park. They each enter at a different gate. On this diagram of the park, explain how the friends could calculate the point that is equidistant from all three gates.

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What is the length of a rectangular holding pond with an area of 5 1/10 square miles and a width of 1/6 mile?

Answers

The get the length of a rectangle, divide the area with the given length. 5.1 divided by 0.1666 or approximately 0.17 to get the other length which equals 30 miles

b)
73cm
92cm
56 cm
What is the
the
area and perimeter

Answers

Answer:

Area=2044..... perimeter=221

Step-by-step explanation:

Step1:- Area =1/2×breath×height

1/2×73×56

1/2×4088

= 2044

Area =2044cm^2

Step2:- Perimeter= a+b+c

=73+56+92

=221

Perimeter=221cm

Charmaine invested her savings in two investment funds. The amount she invested in Fund A was 3 times as much as the amount she invested in Fund B. Fund A returned a 6% profit and Fund B returned a 15% profit. How much did she invest in Fund B, if the total profit from the two funds together was 1380?

Answers

Using a system of equations, it is found that she invested 318.71 into Fund B.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

Variable x: Amount invested in Fund A.Variable y: Amount invested in Fund B.

The amount she invested in Fund A was 3 times as much as the amount she invested in Fund B, hence:

x = 3y.

Fund A returned a 6% profit and Fund B returned a 15% profit, and the total profit was of 1380, hence:

1.06x + 1.15y = 1380.

We have that x = 3y, hence:

1.06(3y) + 1.15y = 1380.

4.33y = 1380

y = 1380/4.33

y = 318.71.

She invested 318.71 into Fund B.

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Michael is trying to show that ABC to congruent to A'B'C

Answers

To find the reflection of ΔABC in the x-axis, the points would move as follows:

Point A would move 8 units Points B would remain at same point hence move 0 unitsPoint C  would move 8 units

Using the original coordinates, Δ A'B'C' is a reflection of Δ ABC in the line?

line x = 4

The triangles are?

The two triangles are congruent

The line of reflection Michael used is?

Michael used line x = 4

What is reflection?

Reflection as used in geometry is the representation of an image in the mirror image copy. Reflection is done with respect to a line called line of reflection. Images formed are of equal distant to the line of reflection and the images are usually congruent.

Reflection as represented on a graph is most times in x axis or y axis. This axis shows the location of the line of reflection and it is very important when determining the position of the reflected image.

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Does 8÷10+7÷100 equal to 0.87

Answers

Answer:

Yes

Step-by-step explanation:

8÷10+7÷100=

8/10 + 7/100=

80/100 + 7/100=     ==> make the denominators equal to each other

(80+7)/100=

87/100=0.87 √

Answer:

yes it does

Step-by-step explanation:

8÷10=0.8

7÷100=0.07

0.8+0.07=0.87

or the easy way ig

8÷10+7÷100=0.87

Lena has to make 20 gallons of punch for a potluck. The punch is made of soda and fruit drink. The cost of the soda is $1.90 per gallon and the cost of the fruit drink is $2.10 per gallon. Lena’s budget requires that the punch cost $2 per gallon. How many gallons of soda and how many gallons of fruit drink does she need?

Answers

Answer:

10 for each

Step-by-step explanation:

1.90 x 10 = 19

2.10 x 10 = 21

so 19 + 21 = 30

Simplify negative 3 and 4 over 5 minus 5 and 2 over 3.

Answers

The answer is -142/15

Answer:

-9 7/15

Step-by-step explanation:

I took the test lol. Also if your in advanced you should know this!

Violen crimes include​ grape, robbery,​ assault, and l=lomicide. The following is a summary of the​ violent-crime rate​ (violent crimes per​ 100,000 population) for all states of a country in a certain year. Complete parts​ (a) through​ (d).
​ ​, (c) The​ violent-crime rate in a certain state of the country in that year was. Would this be an​ outlier?

The lower fence is


enter your response here crimes per​ 100,000 population.

The upper fence is


enter your response here crimes per​ 100,000 population.

Answers

From the interquartile range of the distribution, the fences for non-outliers are given as follows:

Lower: 0.Upper: 657.65.

What is the missing information?


The quartiles of the distribution are given as follows:

Q1: 273.8. (violent crimes per​ 100,000 population)Q3: 529.7. (violent crimes per​ 100,000 population)

What is the interquartile range and how it is related to outliers?

The interquartile range of a distribution is given by the difference of the third quartile by the first quartile, that is:

IQR = Q3 - Q1.

Outliers are given by:

1.5 IQR below Q1.1.5 IQR above Q3.

For this problem, the IQR is:

IQR = 529.7 - 273.8 = 255.9.

Hence the fences are:

Lower: 273.8 - 1.5 x 255.9 = -110.05, negative numbers are not possible in the range of the question, hence the lower fence is of 0.Upper: 273.8 + 1.5 x 255.9 = 657.65.

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Frame three equations with solution x=-5

Answers

The  three equations with solution x=-5 Are as follows:

25 + x = 15 ............... equation 1.

7x = -35 .......................equation 2.

15 + x = 10 ..................equation 3

In mathematics, what is linear equation?

There is not more then one or two variables in a linear equation. In a linear equation, no variable is raised to a power larger than one or utilized as the denominator of a fraction. When you locate two values that satisfy a linear equation and display them on a coordinate grid, every one of the points falls on the same line.

What is a linear equation with one variable?

A linear equation in one variable seems to be an equation that has just one solution and is stated in the form ax+b = 0, where a but instead b are two integers and x is a variable. 2x+3=8, for example, is a mathematical expression with a single variable.

According to the given information:

x=-5 Given

This also can be written as :

25 + x = 15 ............... equation 1.

7x = -35 .......................equation 2.

15 + x = 10 ..................equation 3

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Calculate the perimeter of the rectangle in centimeters.
Lenght= 14cm
Width= 8cm

Answers

Perimeter = 44cm

P=2(l+w)=2·(14+8)=44cm

1. Consider the following propositions
• P: 2+5=3
. Q: Warsaw is the capital of Poland.
. R: The US has the largest population in the world.

Answers

R= is incorrect

the answer is china :)

One lap around a track is 1/4 mile. It takes Parker 1/20 hour to sprint
one lap. What is Parker's unit rate, in miles, around the track

Answers

Answer:

Parker's unit rate is 5 miles per hour or 5mph.

Step-by-step explanation:

1 hour = 60 minutes

60/20 = 3 minutes

3 minutes for 1 lap

1 lap = 1/4 mile

1/4 mile (1 lap) x 4 laps = 1 mile

4 laps =  12 minutes

12 minutes per mile

60/12 = 5

5 miles per hour

Is 5.424 greater than 5.343

Answers

Answer:

Yes.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The tenths place is 4 while 5.343 tenths place is 3

Hope It Helps

Sorry If I'm Wrong

The sum of two numbers is 14. Using x to represent the smaller of the two numbers , translate "the sum of twice the smaller number and two more than the larger number" into a variable expression. Then simplify

Answers

The smaller number is 4 and the larger number is 10.

Given that, the sum of the two numbers is 14.

What is an equation?

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that,  x represents the smaller of the two numbers.

Then the larger number is

The sum of twice the smaller number and two more than the larger number = 2x+2

Now, x+2x+2=14

⇒3x+2=14

⇒3x=12

⇒x=4

So, 2x+2=10

Therefore, the smaller number is 4 and the larger number is 10.

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Suppose that the world's current oil reserves is

R=1970 billion barrels. If, on average, the total reserves is decreasing by 24 billion barrels of oil each year, answer the following:

A.) Give a linear equation for the total remaining oil reserves, R, in terms of t, the number of years since now. (Be sure to use the correct variable and Preview before you submit.)

R=

B.) 12 years from now, the total oil reserves will be____billions of barrels.


C.) If no other oil is deposited into the reserves, the world's oil reserves will be completely depleted (all used up) approximately_______years from now.

(Round your answer to two decimal places.)

Answers

From the given situation, we have that:

A) The linear equation is R(t) = 1970 - 24t.

B) 12 years from now, the total oil reserves will be 1682 billions of barrels.

C) Approximately 82.08 years from now.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, the parameters are given as follows:

b = 1970, m = -24.

Hence the linear function is:

R(t) = 1970 - 24t.

For item b, the amount is of R(12), hence:

R(12) = 1970 - 24(12) = 1682.

12 years from now, the total oil reserves will be 1682 billions of barrels.

For item c, we have to solve for t when R(t) = 0, hence:

1970 - 24t = 0

24t = 1970

t = 1970/24

t = 82.08.

Approximately 82.08 years from now.

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Find the y-intercept, x- intercept and slope of the line with equation 8x +12y = 16.

(PLEASE EXPLAIN IN STEPS)

Answers

Answer juvhfVO"zohgvjozi nandish pro nbhvmno

what is 0.25x 2.6 pls help me this is hw

Answers

Answer:

0.65

Step-by-step explanation:

0.65 is going to be your answer
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