The dimensions for a rectangular prism are x+5 for the length, x+1 for the width, and x for the height. What is the volume of the prism?

The number of in-state undergraduates could not be 200.

International or foreign students are students who migrate to another country to pursue their studies and complete all or a portion of their postsecondary education there.

Each nation has its unique national educational system, which affects how "foreign students" and "international students" are defined.

If foreign students comprise exactly 1/8 of the number of out-of-state undergraduates, then the number of in-state undergraduates would have to be a value that yields an integer value for the number of foreign students.

In-state undergraduates are 55% of 60% of the total, or (.55)(.6) = (.33) of the total.

If 330 is the number of in-state undergraduates, which comprise 33% of the total, then you can calculate the total number of admitted students:

(0.33) (total) = 200

⇒ total = 200/0.33

⇒ total = 200*100/33

⇒ total = 606.06

So that The number of in-state undergraduates could not be 200.

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The correct question is with graph

For 2011, if foreign students comprise exactly 1/8 of the number of out-of-state undergraduates, indicate which could not be the number of in-state undergraduates.

200

330

1320

Answer: 99.6 min

Step-by-step explanation:

The solution for "m" for the equation is 8.3.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression: (Math Operator, Number/Variable, Math Operator)

Given expression

5m + 2 - 3.9m = 2.1(m — 3)

5m + 2 -3.9m = 2.1m - 3(2.1)

1.1m + 2 = 2.1m - 6.3

compare variables on one side and constant other,

2  + 6.3 = 2.1m - 1.1m

8.3 = m

Hence the value of m is 8.3.

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Answer:

To find out how many minutes Susanna paid for, we need to convert the fraction of an hour to minutes.

There are 60 minutes in an hour. So, to find out how many minutes 3/5 of an hour is, we can multiply 3/5 by 60:

3/5 * 60 = 36

Therefore, Susanna paid for 36 minutes of parking.

Answer:

36 minutes

Step-by-step explanation:

We need to convert hours to minutes and then multiply by a fraction.

1 hour = 60 minutes

3/5 of 60 minutes

3/5 * 60

180/5

36 minutes

The Standard form of polynomial [tex]8x^2y^-\frac{3x^2y}{2} +4x^4-7xy^3[/tex] will be.[tex]-7xy^3+8x^2y^2-\frac{3x^2y}{2}+4x^3[/tex], Option D is right choice.

We have the polynomial.  [tex]8x^2y^-\frac{3x^2y}{2} +4x^4-7xy^3[/tex]

then change it to standard form,

We are aware that in standard form the power of variables should be listed in decreasing order, in this example we have two variables first is x and second is y.

First write, highest degree term of y which has degree 3, next write second term of y which has degree 2 and write third term of y which has degree 1 and last one writes the term which is independent of y.

thus, we write in standard form with respect to y.

hence our required polynomial is. [tex]-7xy^3+8x^2y^2-\frac{3x^2y}{2}+4x^3[/tex].

option D is right choice.

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Answer:

Step-by-step explanation:

Yes, there is an end behavior for a square root function. The end behavior of a square root function is determined by the sign of the leading coefficient of the equation. For example, if the leading coefficient is positive, then the end behavior will be asymptotic to the positive x-axis as x increases, and asymptotic to the negative x-axis as x decreases. Conversely, if the leading coefficient is negative, then the end behavior will be asymptotic to the negative x-axis as x increases, and asymptotic to the positive x-axis as x decreases.

The square matrix can be formed using this system of equations option second is correct.

Matrix:

A matrix is ​​a rectangular array of numbers, variables, symbols, or expressions defined for operations such as subtraction, addition, and multiplication. The size of a matrix (called matrix order) is determined by the number of rows and columns in the matrix. The order of a matrix with 6 rows and 4 columns is expressed as 6×4 and read as 6×4.

We have three linear equations:

3x - 2y = -2

7x + 3y = 26

-x  -11y = 46

To solve the above equations we can use the matrix concept:

The matrix will be:

[tex]\left[\begin{array}{ccc}3&-2&-2\\7&3&26\\-1&-11&-46\end{array}\right][/tex]

The above matrix is a square matrix.

Square Matrix:

A square matrix is ​​a matrix that has the same number of rows and columns. Its order is of the form n x n. The product of these rows and columns also gives the number of elements in a square matrix, so the number of elements in it is always a perfect square.

Thus, the square matrix can be formed using this system of equations option second is correct.

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Answer: The sale price would be 225.00

The selling price of the trampoline will be $225.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that there is a 25% discount on the price $300. The discounted price will be calculated as:-

Discounted price = 300 x 0.75

Discounted price = $225

Therefore, the selling price of the trampoline will be $225.

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Answer:

▪ 20% of 15 ml

(20/100) × 15 ml = 3% pure milk fat

Simplifying √75 the answer is option D. 5√3.

An expression of a number which has a square root is termed surd. Some procedures are required to solve any given question on surd, especially when the given expression involves numbers that do not have a whole root.

To simplify √75 as required in the question, we have to look for a two numbers. One of these numbers must have a whole square root.

So that we can use 3 and 25.

Thus,

√75 = √(3 x 25)

       = √3 * √25

       = √3 * 5

       = 5√3

√75 = 5√3

The answer is option D. 5√3

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The probability that the first girl is the first to flip a head is; 1/2.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We are given that if the number of toss required is odd as in one attempt represent odd number , we have following sequence of events

H, TTH, TTTTH.....

The required probability P will be as;

P = 1/2 + (1/2)³ + (1/2)⁵..........

As she flipped it in first go the probability is 1/2.

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Answer:

the value of f(8) is 31

Step-by-step explanation:

To find the value of f(x) = 3x + 7 for x = 8, we need to substitute 8 in for x in the equation and perform the arithmetic.

f(x) = 3x + 7

f(8) = 3(8) + 7

f(8) = 24 + 7

f(8) = 31

[tex]f(x)=3x+7[/tex] x = 8

Substitute 8 with x:

[tex]f(8)=3(8)+7[/tex]

[tex]f(8)=24+7[/tex]

[tex]\fbox{f(8) = 31}[/tex]

There are a few ways to tell if a dataset contains outliers, one of which is by using summary statistics.

Outliers are data points that fall far outside of the main body of a dataset. They can have a significant impact on the overall summary statistics of a dataset, such as the mean and standard deviation.

Given the summary statistics below for the size of a sample of automobile engines:

Mean: 2.5

Median: 2.5

Mode: 2.5

Standard deviation: 0.5

We can tell that there are no outliers in the data set because the mean, median, and mode are all equal. This indicates that the values in the dataset are tightly clustered around a central value, which is a good indication that there are no outliers. Additionally, the standard deviation is relatively small, which also suggests that the values in the dataset are not spread out very much, again indicating that there are no outliers.

Another approach is using the interquartile range (IQR). This can be calculated by subtracting the 25th percentile (Q1) from the 75th percentile (Q3) of a dataset. Values that fall outside of the range of 1.5*IQR below the first quartile (Q1) or above the 3rd quartile (Q3) are considered outliers.

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The solution for the system of equations:

2x + 3y = 0

-4x - y = 30

is y = 7 and x = -10.5

Here we want to solve the following system of equations:

2x + 3y = 0

-4x - y = 30

By combining the equations.

If we add two times the first equation and the second equation, we will get:

2*(2x + 3y) + (-4x - y) = 0 + 30

We can simplify that to get:

4x + 6y - 4x - y =  30

5y = 30

Now we can solve that for y.

y = 30/5

y = 7

Now to find the value of x, we can replace y by 7 in one of the equations of the system.

2x + 3*7 = 0

2x = -21

x = -21/2

x = -10.5

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Answer:

D. 88.47 in3

Step-by-step explanation:

The volume of a single coin would be the volume of a cylinder with a radius of 1.4 inches and a height of 0.0625 inches. The formula for the volume of a cylinder is V = πr^2h. So, V = 3.14 * (1.4^2) * 0.0625 = 0.38 in^3

Since there are 230 coins, the total volume of the coins would be 230* 0.38 = 87.40 in^3

So, the answer would be 87.40, which is closest to D. 88.47 in3

Answer: D: 88.47 in³​

Step-by-step explanation:

So what you want to do is first find the individual volume of the coins. Use the volume formula: V = πr^2h

Take 1.4 and times it by itself

1.4 x 1.4 = 1.96

Now multiply 1.96 by 0.0625

1.96 x 0.0625 = 0.1225

And times 0.1225 by pi, or in this case, 3.14

0.1225 x 3.14 = 0.38465

Now you have found the individual volume of each coin. You are trying to find how much space all of the coins take up together. The question says that there is 230 coins in total. So times 0.38465 by 230 to find how much space all the coins take up.

0.38465 x 230 = 88.4695 in³

Now round it to the nearest hundredth: 88.47 in³

That is your answer.

Also I took the same test and I picked 88.47 inches cubed and got it right.

Proof:

Have a good day :)))

Answer:

1st number = 5.5

2nd number = -1.25

Step-by-step explanation:

1)  7x + 6y = 31     (multiply entire equation by 3) → 21x + 18y = 93

2)  3x - 10y + 29  (multiply entire equation by 7) →  21x - 70y = 203

3)    21x + 18y = 93

4)  -(21x - 70y = 203)    now subtract equation (4) from equation (3) to make the x terms drop out

0 + 88y = -110

y = -110/88 = -1.25   now plug this into equation (1) and solve for x

7x + 6(-1.25) = 31

7x = 38.5

x = 38.5/7 = 5.5

The limit of f(x) as x approaches 3 does not exist, as the lateral limits are different.

The first step in calculating the limit of a function is calculating the numeric value of the function at the value of x which the function approaches.

On the graph of a function, the limit of f(x) as x approaches a value of a is defined considering it's lateral limits, that is:

If the lateral limits are different, then the limit does not exist.

To the left of x = 3, the line ends at point (3,1), hence the lateral limit to the left of x = 3 is given as follows:

1.

To the right of x = 3, the line begins at point (3,3), hence the lateral limit to the right of x = 3 is given as follows:

3.

As the lateral limits as x approaches 3 are different, the limit of f(x) as x approaches x does not exist.

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Converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters. By definition conversion of units means the conversion between different units and measurements of the same quantity done by the process of multiplication or division. In maths, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons. Units are used for measuring length, measuring weight, measuring capacity, measuring temperature, and measuring speed.

If we want to calculate how many Grams are 1000 Milligrams we have to multiply 1000 by 1 and divide the product by 1000. So for 1000, we have (1000 × 1) ÷ 1000 = 1000 ÷ 1000 = 1 Gram.

So finally 1000 mg = 1 g

Thus, converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.

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The 90% confidence interval's margin of error is 0.0183, and its success probability is 0.546.

What is margin of error?

The term "margin of error" refers to the probability or "chances of error" when selecting or computing a sample in a survey.

Jamie works as an analyst for a provider of educational technologies. She gathered information on the outcomes of a particular kind of query. 1,092 of the 2,000 replies she examined were accurate.

Here,

Number of samples, N=2000

Probability of responding correctly,

=1092/2000

=0.546

Z-score at 90% confidence level,

=1.645

Margin of Error ME,

=z*√(p*(1-p)/N)

=1.645*√(0.546*(1-0.546)/2000)

=1.645*√(0.546*0.454)/2000

=1.645*√(0.248/2000)

=1.645*√0.000124

=1.645*0.011

=0.0180

With a success rate of 0.546 percent, the margin of error for the 90% confidence interval is 0.0183.

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(a) Mean of given sample = 75

(b) Mean (60, 80) = 70

(c) All possible samples of size two are 6 (60,70), (60,80), (60,90), (70, 80), (70,90), (80,90) and means are 65, 70, 75, 75, 80, and 85 respectively.

The given sample is (60, 70, 80, 90)

(a) Mean of sample = (60+70+80+90)/4 = 300/4 = 75

(b) Mean of any 2 of scores

let's take (60,80)

mean(60,80) = (60+80)/2 = 70

(c) All possible samples of size 2 are

(60,70), mean(60,70) = 65

(60,80), mean(60,80) = 70

(60,90), mean(60,90) = 75

(70,80), mean(70,80) = 75

(70,90), mean(70,90) = 80

(80,90), mean(80,90) = 85

Therefore, for the given sample (a) Mean of the sample = 75, (b) Mean (60, 80) = 70, (c) All possible samples of size two are 6 (60,70), (60,80), (60,90), (70, 80), (70,90), (80,90) and means are 65, 70, 75, 75, 80, and 85 respectively.

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The complete question is:

How did the Chapter 6 test go? Today, we will be taking a sample from a population. We will use the average from the sample to estimate the average for the population. Let's start with a very simple example. My 5th period is very small. There were only 4 students who took the chapter 6 test. Their scores were: 60, 70, 80, and 90. Answer the following questions:

(a) Find the mean of the sample

(b) Take a sample of any 2 of the scores. Find the mean of your sample.

(c) Figure out all of the possible samples of size two. Calculate a sample mean for each sample of 2.

The length of one side of the frame is 5.7 inches.

A square is a quadrilateral with 4 sides equal to each other. Opposite sides of a square is parallel to each other.

The picture frame is a square. Therefore, all it's sides are equal to each other.

Hence, using Pythagoras's theorem, the side length of the square can be found as follows:

c² = a² + b²

where

Therefore,

x² + x² = 8²

2x² = 64

divide both sides by 2

x² = 64  /2

x = √32

x = 5.65685424949

x = 5.7 inches

Therefore,

length of side frame = 5.7 inches

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Answer:

1 penguin = $26.97

Step-by-step explanation:

188.88/7=

26.971429 which approximately equals 26.97

The probability distribution of X is given as follows:

A probability is defined as the division of the number of desired outcomes by the number of total outcomes.

A probability distribution gives the probability of all the possible outcomes in the context of a problem.

There are two outcomes for this problem, listed as follows:

Only one of the 1000 combinations are a winning combination, hence the probability distribution of X is given as follows:

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The vertex of the quadratic equation:

f(x) = 2x^2 - 8

is (0, -8)

For a general quadratic equation:

a*x^2 + b*x + c

The vertex is located at the x-value:

x = -b/2a

Here we have the quadratic equation:

f(x) = 2x^2 - 8

Then the values are:

a = 2

b = 0

c = -8

Then the vertex is at:

x = 0/2*2 = 0

To get the y-value of the vertex, we need to evaluate on x = 0.

f(0) = 2*0^2 - 8 = -8

So the vertex is (0, -8).

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a. The linear equation is -75x+700 which represents the situation.

b. The slope represents the rate of change in the amount owed.

c. The y-intercept represents the amount that Jeremy borrowed from his dad.

What is a linear equation?

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. The general form is y=ax+b, where a is the slope and b is the y-intercept.

a. We know that general form of an equation is y=ax+b.

So, after substituting (0,700) and (8, 100) into y=ax+b, we get,

700= 0+b

b=700

100=8a+700

a=-75

Hence, the linear equation is -75x+700 which represents the situation.

b. The slope represents the rate of change in the amount owed.

c. The y-intercept represents the amount that Jeremy borrowed from his dad.

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The cost of 250 kg of coal is 500 dollars.

One tonne of coal cost $2000. The cost of 250kg of the same coal can be found as follows:

Let's convert the mass of the coal in kilograms to tonnes.

Hence,

1 kilogram = 0.001 tonnes

250 kilogram = ?

cross multiply

mass of the coal in tonnes = 0.001 × 250

mass of the coal in tonnes = 0.25 tonnes

Hence,

1 tonne = 2000 dollars

0.25 tones = ?

cross multiply

mass of 250 kg of coal = 0.25 × 2000

Therefore,

mass of 250 kg of coal = 500 dollars

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The expression that is equivalent to -4x³ -12x³ + 9x² will be -16x³ + 9x²

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. The expression that is equivalent to -4x³ -12x³ + 9x² will be:

= -4x³ -12x³ + 9x²

= -16x³ + 9x²

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On solving the provided question, we can say that probability that a four or higher number will first emerge on the third or fourth roll.= 4/27 + 8/81 = 20/21

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

On a dice, the numbers 5 and 6 are the ones above 4. The likelihood of receiving a number higher than 4 (i.e., 5 or 6) is = 2/6 = 1/3

and as a result, the likelihood of receiving 4 or less is= 1-1/3 = 2/3

The likelihood that a number larger than 4 will show up on the third roll is equal to

2/3* 2/3 * 1/3 = 4/27

The likelihood that a number larger than 4 will emerge on the fourth roll is equal to =2/3*2/3* 2/3 * 1/3 = 8/81

probability that a four or higher number will first emerge on the third or fourth roll.= 4/27 + 8/81 = 20/21

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