Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices. Josiah’s Music Sample 1 Sample 2 R & B 5 R & B 4 Pop 4 Pop 3 Classical 3 Classical 5 Jazz 2 Jazz 4 Rock 6 Rock 4 Josiah’s work: StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x. He should have found the average of the number of rock songs by averaging 4 and 6 to get 5. He did not multiply the numerator and denominator by the correct number to equal 1,500. His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion. He can only solve the proportion by multiplying the numerator and denominator by a common multiple. He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500.

On that particular night, there were 144 student tickets and 432 non-student tickets sold.

Let x be the number of student tickets sold that night

y be the number of non-student tickets sold that night

On that night, there were three times as many student as there were non-students. Hence, we can write that as an algebraic expression such that

3x = y

If tickets cost $5 for students and $9 for non-students, and on that night, they sold $4,608 in tickets, then we can express that as

$5x + $9y = $4608

5x + 9y = 4608

Substitute the value of y from the first expression to the second and solve for x.

5x + 9y = 4608

5x + 9(3x) = 4608

5x + 27x = 4608

32x = 4608

x = 144

Plug in the value of x into the first expression and solve for y.

y = 3x

y = 3(144)

y = 432

Hence, the number of tickets sold on that night to students and non-students were 144 and 432, respectively.

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Answer:

(0, 3 )

Step-by-step explanation:

y = 2x + 3 → (1)

3x + 2y = 6 → (2)

substitute y = 2x + 3 into (2)

3x + 2(2x + 3) = 6 ← distribute parenthesis and simplify left side

3x + 4x + 6 = 6

7x + 6 = 6 ( subtract 6 from both sides )

7x = 0 , then

x = 0

substitute x = 0 into (1) for y

y = 2(0) + 3 = 0 + 3 = 3

solution is (0, 3 )

The true statement is "No, you cannot prove that the two right triangles are congruent with the information given."

From the question, we have the following parameters that can be used in our computation:

As a general rule, congruent triangles would have same dimensions and angles

In the scenario, we understand that Sidewalk B and Sidewalk A form a right angle.

This and the other information does not provide information to determine the congruency because the lengths of the sides of either triangle or the angles are missing.

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$656.25 is the difference between  the investor paid for the share and  the investor sold the share.

Two or more expressions with an Equal sign is called as Equation.

Given that At the beginning of 2017, the share was worth $1050.

From the beginning of 2015 to the beginning of 2017 the value of the share halved each year.

In 2017 it is 1050.

In 2016 , it is 2100

In 2015, it is 4200

Beginning of 2017 to the beginning of 2019, the value of the share increased by 1.5 times each year.

In 2017, 1050×1.5=1575

In 2018, 1575×1.5=2362.5

In 2019, 2362.5×1.5=3543.75

The investor paid for share is 4200 and the investor sold is 3543.75.

Difference =4200-3543.75

=656.25

Hence, $656.25 is the difference between  the investor paid for the share and  the investor sold the share.

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The difference in cost between Plumber W and Plumber T if the repair takes 5 hours will be $36.

From the information, Plumber W charges $95 per hour and an additional $32 for parts. Plumber T charges $86 per hour and an additional $41 for parts.

The difference in cost between Plumber W and Plumber T if the repair takes 5 hours will be:

= 86 + (41 × 5) - 95 + (32 × 5)

= 86 + 205 - 95 + 160

= 291 - 255

= 36

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Complete question

Plumber W charges $95 per hour and an additional $32 for parts. Plumber T charges $86 per hour and an additional $41 for parts.

What is the difference in cost between Plumber W and Plumber T if the repair takes 5 hours?

The car unit rate of the race car is 6 miles/minute.

A unit rate specifies how many units of the first type of quantity equal to one unit of the second type of quantity. Examples of unit rates are km/hour, m/sec, cost/litre, and so on.

The denominator of a unit rate is always 1. To calculate the unit rate, divide the denominator by the numerator so that the denominator equals 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour.

Given that,

Quantity = 48 miles

Time taken = 8 minutes.

Thus, The car unit rate of the race car is 6 miles/minute.

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The degree of the polynomial p(x) = 3x²y³ - 4xy⁴ + x⁶ + y⁵ is 6.

A degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 2x^3 + 4x^2 - 5x + 7, the degree is 3 (the highest power of x is x^3). A polynomial of degree 0 is a constant polynomial and a polynomial of degree 1 is a linear polynomial.

To find the degree of a polynomial, you can do the following:

→ Write the polynomial in standard form, with the terms arranged in descending order of exponents.

→ Take the exponent of the term with the highest exponent. This exponent is the degree of the polynomial.

Given,

p(x) = 3x²y³ - 4xy⁴ + x⁶ + y⁵

Here,

Degree of polynomial is 6

As, 6 is highest of all the exponent given in p(x)

Hence, the degree of the polynomial p(x) = 3x²y³ - 4xy⁴ + x⁶ + y⁵ is 6.

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Answer: The answer is D

Step-by-step explanation:

Couldn't see the full graph but one of the points I got was (2,4) and I saw that in the picture. But the correct answer is D.

Hope this helps! Good luck!

The number of atoms that can be laid end-to-end on a meter stick is equivalent to 10^8 atoms.

A meter is equivalent to 100 centimeters (cm), and an atom is about 10^-8 centimeters in length. So, when we divide the length of a meter stick (100 cm) by the length of one atom (10^-8 cm).

we are essentially dividing 100 by a decimal number on the order of 0.00000001.

This is the same as multiplying 100 by a number on the order of 100,000,000. In other words, we are multiplying 100 by 10^8.

So, 100 cm / (1*10^-8 cm) = 10^8 atoms

This means that the number of atoms that can be laid end-to-end on a meter stick is equivalent to 10^8 atoms which is a very big number, this is why we use scientific notation to represent it.

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No, the number 52 is not a perfect square. Because the square root of 52 is an irrational number.

An irrational number is a real number that cannot be expressed as a ratio of two integers, or in other words, as a fraction. Irrational numbers include numbers such as pi (π), the square root of 2, and the square root of 3, which are not terminating or repeating decimals. They cannot be written as a finite decimal or a fraction of integers. Irrational numbers have an infinite number of decimal places, which means they cannot be represented exactly as a decimal.

They are also non-repeating and non-terminating decimals. Irrational numbers have many important properties and applications in mathematics, such as in geometry, where they are used to calculate the lengths of curves and the areas of circles. They also appear in trigonometry and calculus. Irrational numbers are also important in physics and engineering as well as other branches of science and technology. They are often used to express the precise measurements and calculations that are essential in these fields.vb

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The standard deviation is 4 The variance is equal to 16.

In information, the standard deviation is a degree of the quantity of variation or dispersion of a fixed of values. A low standard deviation indicates that the values tend to be near the implied (additionally called the predicted price) of the set, whilst an excessive preferred deviation suggests that the values are spread out over a wider variety.

Popular deviation can be abbreviated SD, and is maximum commonly represented in mathematical texts and equations by means of the decrease case Greek letter σ (sigma), for the population standard deviation, or the Latin letter s, for the sample general deviation.

The standard deviation of a random variable, pattern, statistical population, statistics set, or possibility distribution is the square root of its variance. it's miles algebraically easier, even though in exercise less sturdy, than the common absolute deviation.

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Answer:

A

Step-by-step explanation:

Angle A=Angle X

AB=XY

AC=XL

Answer:

6xˆ2 - x - 2 = 0

D = 1 + 1*2*6*4=49=7ˆ2;

using formula of discriminant you get

x1= -1/2

x2= 2/3

answer = x1, x2

Test score of a student who does not study for the test 70%.

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The sign "%" is used to denote it.

Out of a hundred is what the word "percent" refers to. Percentages are used in mathematics to represent subsets of a whole, just like fractions and decimals are. The whole is thought of as being composed of 100 equal parts when using percentages. As a less common alternative, the abbreviation "pct" may be used to indicate that a number is a percentage.

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Leslie's survey found that 58.75% of students had a dog, 21.25% had a cat, and 11.25% had neither.

This can be visualized in the following table:

Dog | Cat | Neither

 47  |   17  |   24

  9   |   0   |   0

Leslie's survey results showed that out of the 80 students surveyed, 47 of them had a dog, 17 of them had both a dog and a cat, 24 of them had a cat but no dog, and 9 of them had neither a dog nor a cat.

This shows that a higher percentage of students surveyed had a dog (58.75%) than a cat (21.25%). Furthermore, a higher percentage of students surveyed had either a dog or a cat (79%) than those that had neither (11.25%).

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The shaded areas therefore cover a total area of 86.84 cm2.

Let's calculate the whole trapezoid's area. You multiply by the height after adding the top and bottom sides and dividing the result by two.

To get the length of the top side, we sum the values that make up that side.

6.4+5.2+9.6=21.2

The underside is 5.2.

The top and bottom sides are added.

21.2+5.2=26.4

We multiply by 2.

26.4/2=13.2

We increase by the height, which is 6.2 as we can see.

13.2×9.1=120.12

Next, we locate the rectangle's unlit portion.

6.4×5.2 = 33.28

To get the total area of the two shaded triangles, we deduct this from the trapezoid's overall area.

120.12 - 33.28 = 86.84

The shaded areas therefore cover a total area of 86.84 cm2.

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The range is the set of possible outcome values, which are shown on the y-axis.

The range of a function directs to all the possible values y could be. The formula for finding the range of a function is y = f(x). It is a function of every x value that corresponds to only one y value.

To find the range of a function on a graph, draw (or plot) the domain (x) and range (y) coordinates on a piece of graph paper using small dots. This can assist you to see the shape of the function. You will notice a straight line, a curved line shaped like a "u" or "n", or something that looks like waves.

When making a graph, move left or right on the x-axis, depending on whether the x-coordinate is negative or positive. Then, move up or down on the y-axis, depending on whether the y-coordinate is positive or negative.

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Given that the polynomial is 12xy - 9x - 8y + 6, we must determine its fully factored form.

There are two variables in the given polynomial.

12xy - 9x - 8y - 6 = 3x(4y - 3) Now, 12xy - 9x - 8y - 6 = 3x(4y - 3) - 2(4y - 3) = (3x - 2)(4y - 3) The polynomial's fully factored form is (3x - 2)(4y - 3)

(3x - 2)(4y - 3) is the fully factored form of 12xy - 9x - 8y + 6.

One approach to factoring expressions is factoring by grouping. If the expression can be broken down into its component parts, this approach is helpful. On the other hand, we can employ additional strategies.

A polynomial is an expression made up of variables, constants, and exponents that are added, subtracted, multiplied, and divided using mathematical operations (no division by a variable).

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Full Question = What is the completely factored form of 12xy - 9x - 8y + 6?

It will take 36 months for the populations of Rock Hill and Greenville to be the same.

What is the Division?

Division is a mathematical operation used to find the number of times one number, known as the dividend, is contained within another number, known as the divisor. It is represented by the symbol "/" or the word "divided by". It is the inverse operation of multiplication.

To determine when the populations of Rock Hill and Greenville will be the same, we need to find the difference in population growth between the two cities and divide it by the difference in population growth rate. We can use the following formula:

(Population of Rock Hill - Population of Greenville) / (Population growth rate of Rock Hill - Population growth rate of Greenville) = Number of months until populations are equal

First, we will calculate the population growth rate of Rock Hill and Greenville:

Population growth rate of Rock Hill = (100 people move in) - (150 people move out) = -50 people/month

Population growth rate of Greenville = 200 people move in/month

Now we can use this information to calculate the number of months until the populations are equal:

(70,000 - 61,000) / (-50 - 200) = (9,000) / (-250) = 36

It will take 36 months for the populations of Rock Hill and Greenville to be the same.

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About once every 126 years, or every 31,560 days, there will be a 4-sigma event; A 5-sigma event occurs approximately once every 13,932 years (!!) or every 3,483,046 days.

The geniuses, or approximately 0.1 percent of the population, are 4 standard deviations from the mean. When attempting to determine a hypothesis's likelihood, the standard deviation emerges as an essential instrument.

4 Standard Deviations From The Mean: 99.99% (9999 out of 10000) of values in a data set with a normal distribution will be within 4 standard deviations of the mean. Therefore, the interval (S – 4E, S + 4E) will cover 9999 of the 10000 data points in the set.

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F(-1)=-6

Substitute x=-1 into the function

f(-1)=3(2)x,x=-1

F(-1)=3x2x(-1)

The final expression of the algebraic expression is; (30√2)/2

The algebraic expression is expressed as;

(18/√2) - 12/√32

Now, we know that √32 can be expressed as;

√(16 * 2) = √16 * √2

= 4√2

Thus, the expression is now;

(18/√2) - 12/4√2

= (18/√2) - (3/√2)

Factorizing common factor gives;

(1/√2)(18 - 3)

= 15/√2

Rationalizing the denominator gives;

(30√2)/2

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The first five multiplies of the denominator in each fraction in order of least to greatest are given below.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

There are two fractions,

2/5 and 3/2.

The first five multiplies of the denominator of 2/5:

5 x 1 = 5

5 x 2 = 10

5 x 3 = 15

5 x 4 = 20

5 x 5 = 25

The first five multiplies of the denominator of 3/2:

2x 1 = 2

2x 2 = 4

2x 3 = 6

2x 4 = 8

2x 5 = 10

Therefore, the first five multiplies of denominator are given above.

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The value L that a function f(x) approaches when its input value x approaches a predetermined value c is referred to as the function's limit.

The limit of f(x) as x approaches c does not exist if, at the value c, there is no single value L that the function f(x) can be considered to approach.

The behavior of the function as it approaches c from both the right and the left must be examined in order to ascertain whether this is true of the function (that is, from x values that are larger and smaller than c, respectively).

A fundamental idea in calculus is the concept of limits. Limits help one to comprehend the connection that a function creates between its variables.

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The number of bacteria of type 3 that will be found on the Petri dish will be 36.84%.

The percentage of bacteria of type 3 on the Petri dish can be calculated using the percentage formula:

In this case, the final value is the number of bacteria of type 3 in the Petri dish, which is 7. The initial value is the total number of bacteria in the Petri dish, which is the sum of all the bacteria of all types, which is:

Hence:

Therefore, 36.84% of the bacteria in the Petri dish are of type 3.

This question should be provided as:

There are nine different types of bacteria on the Petri dish. A drawing shows some colonies of bacteria on the Petri dish. The number of bacteria in different colonies is as follows:

Colony  bacteria

   1          2

   2          1

   3          7

   4          4

   5          1

   6          1

   7          1

   8          1

   9          1

What percent of the bacteria on the Petri dish is of type 3?

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Answer:

70.80

Step-by-step explanation:

40.00 increased by 77% is 70.80. The increase is 30.80.

Answer:

$70.80

Step-by-step explanation:

The dress was $40 to add the 77% increase, you would multiply 40 x .77= 30.80, then you would add the 30.80 to the original 40, giving you a total of $70.80

Answer:

0.4863

Step-by-step explanation:

Answer:This is a mathematical expression. To solve it, we can use the order of operations (PEMDAS)

First, we simplify the expressions inside the parentheses.

5+7 = 12

Then, we simplify the multiplication

12 * 200 = 2400

So the result of (5+7)*200 is 2400.

The 29.9-ounce package has a lower unit price of $0.2669 per ounce, making it the better buy.

To determine the unit price for the 10.5-ounce package, you would divide the cost of the package ($2.99) by the weight of the package (10.5 ounces). So:

$2.99 ÷ 10.5 ounces = $0.2847 per ounce

To find the unit price for the 29.9-ounce package, you would divide the cost of the package ($7.98) by the weight of the package (29.9 ounces). So:

$7.98 ÷ 29.9 ounces = $0.2669 per ounce

So, the 29.9-ounce package has a lower unit price of $0.2669 per ounce, making it the better buy.

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The sum of two sides is always greater than the third side. So the side lengths 5, 12 and 13 can form a right triangle.

In the given question, we have to define the side lengths 5, 12 and 13 form a right triangle.

A side can form a right triangle if the sum of two sides is greater than the third side.

To check the given sides can from a right triangle or not we add them.

5 + 12 > 13

17 > 13 (True)

5 + 13 > 12

18 > 12 (True)

12 + 13 > 5

25 > 5 (True)

Hence, we can see that the sum of two sides is always greater than the third side. So the side lengths 5, 12 and 13 can form a right triangle.

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