Here is a list of numbers:
9,5, 1, 4, 8, 6, 2, 11, 4,3

Calculate the range of the list of numbers.

Each type of interviewer should be hired in order to maximize the number of interviews are 0 undergraduate students, 16 graduate students, and 4 faculty members and the maximum number of interviews is 644 according to the statistics given.

If n = the number of interviews, then let x = the number of undergraduate students hired, y = the number of graduate students employed, z = the number of faculty members hired.

The purposeful action is:

maximization of n = 30x + 32y + 33z

The limitations are: x + y + z 20; 100x + 150y + 200z 3200; and 0;

The answer is 644 because x = 0, y = 16, z = 4.

To increase the number of interviews, it should be recommended that 0 undergraduate students, 16 graduate students, and 4 faculty members be hired. There can be a maximum of 644 interviews by statistics given.

Learn more about statistics

brainly.com/question/29093686

#SPJ4

Answer:

Del paid £40 for the goods.

Step-by-step explanation:

It is given that:

Selling price of goods = £38

Loss = 5%

It means that,

Selling price = (100-5)% = 95%

Let,

x be the buying price.

95% of x = 38

\(\frac{95}{100}x=38\\\\0.95x=38\)

Dividing both sides by 0.95x

\(\frac{0.95x}{0.95}=\frac{38}{0.95}\\x=40\)

Therefore,

Del paid £40 for the goods.

False. The variance is not a measure of central tendency; it is a measure of dispersion or spread in a dataset. Central tendency measures, on the other hand, describe the center or typical value of a dataset. Common measures of central tendency include the mean, median, and mode.

The variance quantifies the average squared deviation of individual data points from the mean. It provides information about how spread out the data points are around the mean. A larger variance indicates greater dispersion, while a smaller variance indicates less dispersion.

To calculate the variance, you compute the average of the squared differences between each data point and the mean. This emphasizes the spread of the data but does not provide information about the central value or typical location of the data.

In conclusion, the variance is a measure of dispersion, not a measure of central tendency. It quantifies how spread out the data points are from the mean, providing insights into the variability of the dataset.

For more questions on Mean, visit:

brainly.com/question/26941429

#SPJ11

Answer: w = -6

Step-by-step explanation:

-30 = 3(w + 6) + 5w

-30 = 3w + 18 + 5w

-30 = 8w + 18

-48 = 8w

w = -6

Hope this helps

Answer:

In the expression n + 23, 23 is a term.

A term is a single number, variable, or a product of numbers and variables that are separated by addition or subtraction operators. In this case, n and 23 are separate terms, with 23 being a constant term since it has no variable attached to it.

A coefficient is the numerical factor of a term, while a factor is a number or variable that is multiplied by another number or variable to obtain a product. However, in the expression n + 23, there is no coefficient or factor associated with 23.

Answer:

(- 2, - 9 )

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Then f(x) - 1 is f(x) shifted down 1 unit

Then

(- 2, - 8 ) → (- 2, - 8 - 1 ) → (- 2, - 9 ) ← corresponding point

Matrix Operations refers to a mathematical method that involves applying a set of laws to carry out computations on matrices. In the application of matrix operations in daily life, matrices are used to solve a range of problems, from performing calculations in engineering and physics to the visual effects used in movies.

A real-life math example of the application of matrix operations is in the design of circuit boards. In designing a circuit board, electrical engineers use a matrix to determine the flow of electricity through the circuit.

This involves computing the resistance, current, and voltage values of each circuit component and then inputting them into a matrix for analysis.

The matrix operations carried out in this process include addition, subtraction, multiplication, and inversion. Once the matrix operations are complete, the engineer can determine the optimal configuration of the circuit board to minimize the risk of short circuits or other issues.

In conclusion, the application of matrix operations in daily life is significant, as matrices are used in many fields to solve complex problems. From circuit board design to movie special effects, matrices are a valuable tool for analyzing and manipulating data.

To know more about matrix visit :-

https://brainly.com/question/27929071

#SPJ11

The probability that student chosen at random is 16 years is 0.28.

The table shows the distribution of student by age in a high school with 1500 students. Therefore, the probability that randomly chosen student is  16 years can be found as follows:

Therefore,

probability = number of favourable outcome to age / total number of possible outcome

Hence,

probability that student chosen at random is 16 years =  420 / 150

probability that student chosen at random is 16 years = 0.28

learn more on probability here: https://brainly.com/question/23776861

#SPJ1

The Paterson family hiked the Purple Mountain Trail for 6 days and covered a total distance of 25 miles. Each day, they hiked approximately 4.17 miles.

To find out how many miles the Paterson family hiked each day, we divide the total distance covered by the number of days. In this case, they hiked for 6 days and traveled a total of 25 miles. By dividing 25 miles by 6 days, we find that they hiked approximately 4.17 miles each day.

This means that the Paterson family hiked a consistent distance of around 4.17 miles per day along the Purple Mountain Trail. It's important to note that the exact distance may vary slightly depending on the decimal places used in the calculations. However, for the purpose of this answer, we have rounded the result to two decimal places.

Learn more about consistent distance here:

https://brainly.com/question/30469911

#SPJ11

Hence, the answer to Katie's question is "Yes, because the product of two polynomials is always a polynomial."

A polynomial is a mathematical expression consisting of variables (also called indeterminates) and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and exponentiation. The variables in a polynomial can only have non-negative integer exponents.

For example, the expression \(3x^2 + 2x - 5\)is a polynomial, where x is the variable, 3 and 2 are coefficients, and the exponents of x are 2 and 1, respectively.

he correct answer is "Yes, because the product of two polynomials is always a polynomial."

A polynomial is an expression that can be written as a sum of terms, where each term is a product of a coefficient and one or more variables raised to non-negative integer exponents.

In the given expression, 3a3b is a monomial (a polynomial with only one term) and (8ab + 4a³b+ +565) is a polynomial with three terms.

The product of a monomial and a polynomial is always a polynomial, as each term in the polynomial is multiplied by the same monomial. Therefore, the simplified product is a polynomial.

To learn know more about polynomial visit: -

https://brainly.com/question/11536910

#SPJ1

The functions and their matching properties are:

The functions are exponential functions;

Exponential functions are represented using:

y = abˣ

Where a represents the y-intercept.

Also, when b is less than 1, the graph would approach 0 as the x value increases, otherwise it approaches positive infinity.

This means that the graphs of y = (1/4)ˣ and y = 2(1/2)ˣ would approach 0 as the x value increases

Read more about functions at:

https://brainly.com/question/27846142

#SPJ1

The control chart limits (3 sigma) for the fertilizer-bag-filling machine can be computed using Table $6.1.

To compute the control chart limits (3 sigma) using Table $6.1 for the fertilizer-bag-filling machine, follow these steps:

Determine the sample size: In this problem, each sample consists of 7 observations.

Calculate the average range (R): For each sample, calculate the range by subtracting the smallest observation from the largest observation. Then, calculate the average range across all 35 samples.

Find the appropriate value from Table $6.1: Locate the row in Table $6.1 corresponding to the sample size (7) and find the factor associated with 3 sigma. This factor represents the number of standard deviations for the control limits.

Compute the control limits: Multiply the average range (R) by the factor obtained from Table $6.1 to determine the width of the control limits. Then, subtract this width from the overall average of the process data to obtain the lower control limit, and add the width to the overall average to obtain the upper control limit.

Learn more about control chart limits

brainly.com/question/29756559

#SPJ11

Answer:

-Dividing -

a whole number by a unit fraction is the same as multiplying a whole number by the  

-denominator-

of the unit fraction.

Answer: dividing for the first choose box and denominator for the second choose box.

Hope this helps!

Answer:

\(3x \leqslant 5 + 7 \\ 3x \leqslant 12 \\ x \leqslant 4\)

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

91+41+?=180

91+41=132

180-132=48

Answer:

Step-by-step explanation:

-8x-7=33

    +7 +7

-8x=40

x=-5

Step-by-step explanation:

72 I know it is that's for a fact yes it is and it is that lol for real omg hebebebebebb

Answer:

10/3

Step-by-step explanation:

Simplifying 2b - (3-b) gives us:

2b - (3 - b) =

2b - 3 + b =

3b - 3

This makes our new equation:

3b - 3 + 4 = 11

Combine like terms

3b + 1 = 11

Subtract 1 from both sides

3b = 10

Divide both sides by 3

b = 10/3

To solve problems, construct one-variable equations and inequalities.

As opposed to an inequality, which links two different values, an equation declares that two expressions are equal.

Create one-variable equations and inequalities, then utilize them to solve issues.

Include simple rational and exponential equations as well as those resulting from linear and quadratic functions.

In order to answer word problems, students should be able to decipher them and create equations and inequalities.

To learn more about equations and inequalities, refer

https://brainly.com/question/22406619

#SPJ4

Answer:

A.  (x · 60) + (x · 5)

Step-by-step explanation:

Answer:

A. (x · 60) + (x ·5)

Step-by-step explanation:

Equation A is simplified to 65x, which is equivalent to x ·65.

Equation B is simplified to 11x.

Equation C is simplified to x + 30.

Equation D is simplified to 6x+5.

34% of the data in a normal distribution is more than 1 standard deviation above the mean.

In a normal distribution, about 68% of the data falls within one standard deviation above or below the mean. This means that roughly 34% of the data falls one standard deviation above the mean.

To be more precise, we can use the empirical rule or the 68-95-99.7 rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, if we assume that the normal distribution is perfectly symmetrical, we can estimate that roughly 34% of the data falls more than one standard deviation above the mean.

To learn more about normal distribution here:

https://brainly.com/question/20875827

#SPJ4

Answer:

Model as computed by a quadratic equation calculator is
y (in thousands) = 0.0264x² -0.016x + 1.6
where y = number of users in thousands and x = number of weeks since introduction

Prediction for number of users after 32 weeks is 28,122

Step-by-step explanation:

Plotting the data appears to show the relationship between number of people using scooters and the number of weeks after which the scooters were introduced is quadratic in nature

Letting x = number of weeks and y the number of users (in thousands), using a quadratic regression calculator, the regression equation was

y (in thousands) = 0.0264x² -0.016x + 1.6

The correlation coefficient is high , r = 0.998937848

To predict number of users after 32 weeks, use x = 32 in the regression equation:

y (in thousands) = \(y \text{ (in thousands) } = 0.0264(32)^2\:-0.016(32)\:+\:1.6 = 28.1216\\\\\)

Since this figure is in 1000's the actual number of users predicted would be:

28.1216 x 1000 ≈ 28,121.6 ≈ 28,122

I hope that my premise and calculations are correct, I simply used an online calculator to model and predict

PS. The decimal occurs because the numbers are in thousands

So for 1 week it is 1.5 which is actually 1.5 x 1000 = 1500 users

For week 20, it is 12.3 = 12.3 x 1000 = 12, 300 and so on

Answer:

c

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Answer:

180 start line

Step-by-step explanation:

53+x+43=180

96+×=180

×=84

X= 84

Step-by-step explanation:

The value will be \(\frac{3a}{8}\)

What are arithmetic operations?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

In the following question it is asked to perform three of these operations.

Subtraction, Multiplication, Division are to be performed here.

Difference of \(9\) and \(6\) is \(9-6=3\).

\(a\) times the difference of  \(9\) and \(6\) is \(3a\)

Product of \(3\) and \(4\) is \(12\).

\(a\) times the difference of  \(9\) and \(6\) divided by the Product of \(3\) and \(4\) is \(\frac{3a}{12}\)Since \(3\) is a common factor for both \(3,12\) it gets cancelled out.

So now we can write \(\frac{3a}{12} =\frac{a}{4}\).

Therefore the final answer is \(\frac{a}{4}\).

To learn more about arithmetic operations click on the below link

https://brainly.com/question/13181427

#SPJ1