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

The simplified form of the expression 4x(x + 1) − (3x − 8)(x + 4) is -3x^2 - 4x - 32.

To simplify the expression 4x(x + 1) − (3x − 8)(x + 4), we can expand the parentheses and combine like terms.

Expanding the first term, we get 4x^2 + 4x.

Expanding the second term, we have -(3x)(x) - (3x)(4) - (-8)(x) - (-8)(4), which simplifies to -3x^2 - 12x - (-8x) - (-32), further simplifying to -3x^2 - 12x + 8x - 32.

Combining like terms, we obtain -3x^2 - 4x - 32.

For more such questions on expression

https://brainly.com/question/723406

#SPJ8

Answer:

Concave

Step-by-step explanation:

He can make another project and still have 0.90 m of wire left.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

Matthew has 8.2 meters of wire.

He uses 3.65 meters for the craft project.

Now, He wants to use the wire he left to complete one of the following projects.

The left wire is 8.2-3.65 = 4.55 m

So he can make another project and still have 0.90 m of wire left.

Learn more about arithmetic, by the following link.

https://brainly.com/question/13181427

#SPJ1

Answer:

x = 9

Step-by-step explanation:

\(\frac{2x}{3} + 5 = 11\\\frac{2x}{3} = 6\\2x = 18\\x=9\)

Answer:

4

Step-by-step explanation:

GCF = 4

4 × 3 = 12

4 × 2 = 8

Since 4 goes in both, 12 and 8, it is the GCF. Hope this helps, thank you !!

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

simple logic

Answer:

B. In exactly the same location as B

Step-by-step explanation:

If A has the same value as B on the number line, they should be at the same location since any number placed to the right of B is bigger than B, and any number placed to the left of B is smaller than B. Being at the same location means they are equal.

Answer:

You would need 23 inches to build it

A p-value of 0.04 obtained from a two-tailed t-test means that there is a 4% chance that the obtained results are due to chance. Given the conventional significance level, you would accept that the alternative hypothesis is correct.

The P=0.04 defines that if the null hypothesis is true and if you perform the study a large number of times and in exactly the same manner.

Drawing random samples from the population on each occasion, then, on 4% of occasions, you would get the same or greater difference between groups.

In statistical hypothesis testing, we need to express the null hypothesis, which is the no statistical difference within the groups, and the alternative hypothesis, which is the statistical difference.

Then, we determine the test statistic, which is a standardized quantitative measure of the group difference.

The null hypothesis predicts that the test statistic value will be small, but there is a slight possibility that it will be big by chance. We utilize the test statistic to compute the p-value once we determine the test statistic.

The p-value is described as the calculated probability of determining the observed result from the value of the test statistic, or larger, under the null hypothesis.

Therefore, we can conclude that the value of the definition of the p-value is the probability that we would see a test statistic this extreme or more if the null hypothesis were true.

To know more about P-value:

https://brainly.com/question/15110538

#SPJ4

9514 1404 393

Answer:

  c.  1/x^2

Step-by-step explanation:

You want to solve for a:

  1/√a = x

  1/a = x^2 . . . . . square both sides

  1/x^2 = a . . . . . multiply both sides by a/x^2

Answer:

14743

Step-by-step explanation:

B. the business world and its industries control those in poverty

C. that the place is polluted and depressing

The quotient of  10⁻⁴/10² is 10⁻⁶

Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.

For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.

Division law states that:

10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ

In this case have:

10⁻⁴/10² = 10⁻⁴⁻²   (Division law)

10⁻⁴/10² = 10⁻⁶

Learn more about quotient on:

brainly.com/question/27862246

#SPJ1

Answer:

Right Isosceles triangle

Step-by-step explanation:

The Square on the triangle represents a right angle

An Isosceles triangle is a triangle that has 2 sides equal and 1 a different length

Answer:

x + 93 = 124

Step-by-step explanation:

4x = x + 93  {Vertically opposite angles are equal}

Subtract 'x' from both sides

4x - x = 93

3x = 93

Divide both sides by 3

x = 93/3

x = 31

x + 93 = 31+ 93 = 124

Answer:

50 students will pass

Step-by-step explanation:

100÷40=2.5

20×2.5=50

or another way is 20 is half of 40 so half of 100 is 50

The y-intercept of the function shown in the table is (0, 60). And it represents, Lily has $60 before begins buying Pokemon cards.

In this question, the table is a set of data showing how much money Lily has after buying Pokemon cards.

The data in the given table represents a linear function.

We need to find the y-intercept of the function.

We know that, the y-intercept is the point where the graph intersects the Y-axis

From given data we can clearly observe that for x = 0, y = 60

Here x is the number of Pokemon cards and y is the amount of money Lily has after buying Pokemon cards.

so, the y-intercept of the function shown in the table is 60.

Therefore,  the y-intercept of the function shown in the table is (0, 60). And it represents, Lily has $60 before begins buying Pokemon cards.

Learn more about the Y-intercept here:

https://brainly.com/question/14180189

#SPJ1

The price of the watch before the discount was £25.

A percentage expresses a number as a fraction of 100. It is often used to describe a portion or share of a whole or to express a rate or proportion. Percentages can be calculated by dividing the part by the whole and multiplying by 100. Percentages are used in a wide variety of contexts, such as finance, economics, statistics, and science.

Jasοn bοught a watch and a pair οf trainers fοr a tοtal price οf £53.55.

We are given that, Jasοn received a 15% lοyalty discοunt οn the whοle price that includes nοt οnly the price οf the pair οf trainers but alsο the price οf the watch.

Nοw, the discοunted price becοmes £(100 - 15) = £85, when the οriginal price is £100.

Then, the discοunted price becοmes £1, when the οriginal price is

= \($\£ \frac{100}{85}\)

Then, the discοunted price becοmes £53.55, when the οriginal price is  

\($\frac{100}{85} \times 53.55 = \£ 63\)

Nοw, we are given that, the trainers were priced at £38.

This means that the price οf the watch befοre the discοunt is,

£(63 - 38) = £25.

Hence, the price οf the watch befοre the discοunt is £25.

To learn more about percentage visit the link:

https://brainly.com/question/24877689

#SPJ1

From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5

To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".

Looking at the number line, we can see the following values:

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

From this list, the values that "m" could take are:

-2, -3.5, 0, -5

These values are present on the number line, indicating that they are possible values for "m".

Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.

It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.

Know more about variable here:

https://brainly.com/question/28248724

#SPJ8

The purchase value of an office computer is $12,500. Its annual depreciation is $1875. then the value of the computer after 6 years is

1250

What is the simple definition of depreciation?

The term depreciation refers to an accounting method used to allocate the cost of a tangible or physical asset over its useful life. Depreciation represents how much of an asset's value has been used.

The value of the computer is decreasing by $1875 annually per year. So the amount of decrease in 6 years is: 6×1875=$11250 6 × 1875 = $ 11250

now

The purchase value of an office computer is $12,500

therefore

12500- 11250

= 1250

learn more about of amount here

https://brainly.com/question/29994977

#SPJ4

Given

Graph

Procedure

The scale factor would be 3/4

Answer:

We conclude that a diagonal of a quadrilateral is a line segment that joins two opposite vertices of the quadrilateral.

Step-by-step explanation:

From the attached diagram, it is clear that the line segment AC of the parallelogram quadrilateral joins two opposite vertices A and C.

It is also clear that the other line segment BD of the parallelogram quadrilateral joins two opposite vertices B and D.

Therefore, we conclude that a diagonal of a quadrilateral is a line segment that joins two opposite vertices of the quadrilateral.

The vertical forces on block A are: the force of gravity acting downwards with a magnitude of 40 N, and the normal force of the wall acting upwards with a magnitude of 40 N. It is not possible to determine the magnitude of the frictional force between block A and block B without knowing the coefficient of static friction.

The force of gravity on block A is equal to its mass (4 kg) times the acceleration due to gravity (10 m/s^2), which gives a magnitude of 40 N. Since block A is in contact with the wall, there must be a normal force acting on it from the wall to counteract the force of gravity. This normal force has the same magnitude as the force of gravity on block A. Therefore, the magnitude of the normal force of the wall on block A is also 40 N.

The frictional force between block A and block B depends on the coefficient of static friction between the two surfaces in contact and the normal force of block A on block B. Since we are not given the coefficient of static friction, we cannot determine the magnitude of the frictional force.

To know more on frictional force

https://brainly.com/question/14662717

#SPJ4

We can express the number 98 in exponential form as 10 raised to the power of 2. This means that by multiplying the base, which is 10, by itself twice, we obtain the value of 98.

To express 98 in exponential form, we need to determine the base and exponent that can represent the number 98.

Exponential form represents a number as a base raised to an exponent. Let's find the base and exponent for 98:

We can express 98 as 10 raised to a certain power since the base 10 is commonly used in exponential notation.

To find the exponent, we need to determine how many times we can divide 98 by 10 until we reach 1. This will give us the power to which 10 needs to be raised.

98 ÷ 10 = 9.8

Since 9.8 is still greater than 1, we need to continue dividing by 10.

9.8 ÷ 10 = 0.98

Now, we have reached a value less than 1, so we stop dividing.

From these calculations, we can see that 98 can be expressed as 10 raised to the power of 1 plus the number of times we divided by 10:

98 =\(10^1\) + 2

Therefore, we can write 98 in exponential form as:

98 = \(10^3\)

In summary, 98 can be expressed in exponential form as 10^2. The base is 10, and the exponent is 2, indicating that we multiply 10 by itself two times to obtain 98.

For more such information on: exponential form

https://brainly.com/question/30166689

#SPJ8

Step-by-step explanation:

Domain: possible value of x

Range: possible values of y

Domain:

Given in the question

-1smaller or equal to x smaller or equal to 1

Range:

y is greater than 1, smaller than 3

\( \sqrt{ \frac{y - 1}{2} } = x \\ \)

y cannot be smaller than 1

when substitute velue of x= 1 or negative 1

we get y=3 and any values between 1 and negative 1 when substitute in x, will give values of y in between 3 and 1.

first list all elements of x and y..

x= -1,0,1

y=2x^2+1

whenx=-1 y=2×-1^2+1=5

similarly, when x=0,y=1

x=1, y=5

therefore, domain=x={-1,0,1}

range=y={1,5}

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

There is some unnecessary information in the problem, first, it should be removed.

"The dosage of cough medicine for a child 4 to 6..."

"2 days"

Listing the age and days don't matter here, it's the rest of the problem that matters!

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

"1/2(a teaspoon) every 4 hours,"  This is one dose. Multiply 1/2 by five to see how many teaspoons are consumed.

1/2 x 5 = 2 1/2 (teaspoons)

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

Good luck! :)

~pinetree

Answer:

(B+6)- 3

is it correct?

Answer:  

can u be more specific so i can properly help u  

Explanation:  

pls explain and i will edit my answer  

Answer:

The first quartile is 99.5

Step-by-step explanation:

Answer:

l=10.5 in , w=16.5 in

Step-by-step explanation:

p=2l+2w
54=2(w-6)+2(w)
54=2w-12+2w
54=4w-12
66=4w
w= 16.5
l=w-6
l=16.5-6

l=10.5 in
w=16.5 in

hope this helps