According to a survey, 12% of the students at a university use online tutoring services. If there are 20,142 students enrolled, what is the estimated number of students at the university that use online tutoring services?

The median of the given list of numbers is 87.

To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.

If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

First, let's arrange the numbers in ascending order:

65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680

There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.

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Answer:

Yes

Step-by-step explanation:

One input to one output is a linear one-to-one function.

Answer:

yes they are pretty linear

Answer:

25×4 + 10×5

He can but 4 reserved seats and 5 general seats.

Step-by-step explanation:

25×4 is 100

10×5 is 50

100+50 is 150 dollars.

Answer:

76

Step-by-step explanation:

(78+77+76+75+74)/5=x

x=76.

So the mean is 76.

Hope this helps plz hit the crown :D

Answer:

The profit that Jamal made was $61.50

Step-by-step explanation:

125.00-63.50= 61.50

a) The binomial expansion of (1+12x)^1/2 is given by:

(1+12x)^1/2 = 1^1/2 + (1/2)(1^-1/2)(12x) + (1/2)(1^-1/2)(-1/2)*(12x)^2 + ...

Binomial expression: what is it?

A polynomial with only terms is a binomial. An illustration of a binomial is x + 2, where x and 2 are two distinct terms. Additionally, in this case, x has a coefficient of 1, an exponent of 1, and a constant of 2. As a result, a binomial is a two-term algebraic expression that contains a constant, exponents, a variable, and a coefficient.

The first four terms, in ascending powers of x, are:

1, (1/2)(12x), (1/8)(12x)^2, (1/16)*(12x)^3

b) To use x=1/36 in the expansion, you would substitute x=1/36 into the expansion, and keep only the terms up to x^3 (the fourth term in the expansion). This will give an approximation of the value of (1+12x)^1/2 when x=1/36.

This will be an approximation of √12 because x=1/36 corresponds to 12x = 1 and the initial value of the expansion is 1 + 12x .

We can use this approximation to approximate square root of 12 and also for other square roots by using appropriate x values.

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Answer:

The drama club bought 35 t-shirt

Step-by-step explanation:

Let

t-shirt = x

Sweatshirt = y

Total cost = $795

They purchase 20 more tshirts than sweatshirts

x = y + 20

The equation is:

12x + 25y = 795

12(y + 20) + 25y = 795

12y + 240 + 25y = 795

37y = 795 - 240

37y = 555

y = 15

Substitute y = 15 into

x = y + 20

x = 15 + 20

x = 35

t-shirt = 35

Sweatshirt = 15

The drama club bought 35 t-shirt

Answer:

It is 35 as you said !

but the nth term of it is : Y= 4X-1 .

Step-by-step explanation:

Hope this helps u <3

Levene's Test in SPSS is used to detect violations of the ANOVA assumption of constant/equal variability over all treatments/populations.

Levene’s test is used to check that variances are equal for all samples when your data comes from a non normal distribution. You can use Levene’s test to check the assumption of equal variances before running a test like One-Way ANOVA.

ANOVA assumption is also known as homogeneity of variance.

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Answer:

I think it's D...maybe

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠WZA + WZY = 180     {linear pair}

88 + ∠WZY = 180

∠WZY = 180 - 88

∠WZY = 92°

∠WXY + ∠WZY = 180     {Opposite angle in cyclic quadrilateral}

x + 92 = 180

       x = 180 - 92

x = 88°

The number of solutions of the system y = 3x + 5 is one because it is a linear equation.

An equation in which is  the highest power of to the  variables 1 is knowns as the  linear equation. Mathematically: it is an  algebraic equations that can be also  written in the form of  ax + b = 0 or ax + by + c = 0, where a, b and c are definitely real numbers and x and y are variables with the highest power one.

Linear equations are equations in which the variables are raised to the power of 1, and the graph of the equation is a straight line. As a result, there is only one solution to the equation, which is when the line intersects the x-axis. This means that the equation has only one set of x- and y-coordinates, where x is the independent variable and y is the dependent variable, that satisfy the equation. The x-coordinate of the solution is the same as the value of x that makes the equation true and the y-coordinate is the value of y for this same x-value.

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Answer:

0.64705882352

when u round it, it will be

0.65

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Step-by-step explanation:

Answer:

\(\Large \boxed{y = x^2 + 3 x - 5 \ \ \mathrm{and} \ \ x + y = -10}\)

Step-by-step explanation:

y = x² + 3 x - 5 and x + y = -10 are the system of equations that do not have a real solution.

When the two equations are graphed and if they do not intersect, then there are no real solutions for the system of equations.

Answer:

Step-by-step explanation:

Answer:

78.

Step-by-step explanation:

If your asking how much of a difference/ Subtract.

Answer:

seven times h minus 2 equals negative four

Step-by-step explanation:

To determine the percentage of women in a sample with a master's degree using Excel, you need to follow:

First, make sure your data is organized in columns, with one column for gender and another for education level.

Next, use the filter feature in Excel to display only the rows where the gender is "Female" or "Woman". This will help isolate the data for women in the sample.

Then, focus on the education level column and filter it to show only the rows where the education level is "Master's Degree". This will narrow down the data to women with a master's degree.

Count the number of women with a master's degree by using the COUNTIFS function in Excel. Set the criteria to match "Female" or "Woman" in the gender column and "Master's Degree" in the education level column. This will provide the count of women with a master's degree.

Now, calculate the total number of women in the sample by using the COUNTIF function. Set the criteria to match "Female" or "Woman" in the gender column. This will give you the count of all women in the sample.

Finally, divide the count of women with a master's degree by the count of all women in the sample and multiply by 100 to obtain the percentage. This will represent the percentage of women in the sample with a master's degree.

By following these steps and adapting them to your specific dataset in Excel, you can determine the percentage of women in the sample with a master's degree.

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Answer:

Step-by-step explanation:

pamela:  j - 6 years = juri's age.

juri: j + 6 years.

sum of pamela and juri = 94 years.

  j +(j - 6) = 94

  2j - 6 = 94

  2j = 94 - 6

  2j = 88

  j = 44

juri age: 44years and pamela age: 44years - 6years = 38years.

Answer:

What do you mean? It could be both, in different ways.

Answer:

5*5*5*5

Step-by-step explanation:

5^4 means 5 times itself four times.

Answer:

625

Step-by-step explanation:

5 x 5 x 5 x 5

which is

625

Answer:

The dimensions of a matrix are the number of rows by the number of columns.

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

These all statements are true!

Hope it helps!

Brainliest pls!

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Answer:

A, C, D

Step-by-step explanation:

A: Same side interior angles always add up to 180, so they are supplementary.

C: 4 and 6 are alternate exterior angles, so they are congruent, and 6=8 because they are vertical angles, so 4=8.

D: 3 and 1 are vertical angles so they are congruent

Answer:

Value of x is used to consider unknown value.

Step-by-step explanation:

Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable.

Answer:

1.524x10^4

Step-by-step explanation:

This is really easy. You just simply work out each equation in your calculator.

Since 9-^4 is equal to 1.524x10^4, you find the number that matches with it, which sums up to 1/9⁴.

9⁴=6,561

1/6,561=1.524.........

Answer:

A vector graphic consists of a set of instructions for creating a picture is a true statement.

Step-by-step explanation:

A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.

These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.

Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.

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The magnitude of the potential energy on the x-axis at a distance of 9.85 cm is approximately 0.01976 J.

To calculate the electric potential energy at a point on the x-axis, we need to consider the contributions from each point charge and sum them up. Let's perform the calculations using the given values and formulas:

Given:

\(\( Q = 8.07 \times 10^{-6} \, \text{C} \)\\\\\( d = 0.1 \, \text{m} \)\\\\\( x = 0.0985 \, \text{m} \)\\\\\( k \approx 8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2 \)\)

1. Charge at \(\( y = +d = 10 \)\)cm:

\(\( r_1 = \sqrt{x^2 + d^2} = \sqrt{(0.0985 \, \text{m})^2 + (0.1 \, \text{m})^2} \)\\\\\( U_1 = (8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2) \cdot (8.07 \times 10^{-6} \, \text{C})^2 / r_1 \)\)

2. Charge at y = 0 :

\(\( r_2 = x = 0.0985 \, \text{m} \)\\\\\( U_2 = (8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2) \cdot (8.07 \times 10^{-6} \, \text{C})^2 / r_2 \)\)

3. Charge at \(\( y = -d = -10 \)\) cm:

\(\( r_3 = \sqrt{x^2 + d^2} = \sqrt{(0.0985 \, \text{m})^2 + (0.1 \, \text{m})^2} \)\\\\\( U_3 = (8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2) \cdot (8.07 \times 10^{-6} \, \text{C})^2 / r_3 \)\)

Now, let's substitute the values and calculate:

\(\( r_1 = \sqrt{(0.0985 \, \text{m})^2 + (0.1 \, \text{m})^2} \approx 0.1399 \, \text{m} \)\\\\\( U_1 = (8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2) \cdot (8.07 \times 10^{-6} \, \text{C})^2 / 0.1399 \, \text{m} \)\)

\(\( r_2 = 0.0985 \, \text{m} \)\\\\\( U_2 = (8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2) \cdot (8.07 \times 10^{-6} \, \text{C})^2 / 0.0985 \, \text{m} \)\)

\(\( r_3 = \sqrt{(0.0985 \, \text{m})^2 + (0.1 \, \text{m})^2} \approx 0.1399 \, \text{m} \)\\\\\( U_3 = (8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2) \cdot (8.07 \times 10^{-6} \, \text{C})^2 / 0.1399 \, \text{m} \)\)

To calculate the total potential energy, we need to sum up the individual potential energies:

\(\[ U_{\text{total}} = U_1 + U_2 + U_3 \]\)

Substituting the calculated values into the equation:

\(\[ U_{\text{total}} = U_1 + U_2 + U_3 \]\)

We have:

\(\ U_1 = (8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2) \cdot (8.07 \times 10^{-6} \, \text{C})^2 / 0.1399 \, \text{m}]\\\\\\[ U_2 = (8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2) \cdot (8.07 \times 10^{-6} \, \text{C})^2 / 0.0985 \, \text{m} \]\\\\\ [U_3 = (8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2) \cdot (8.07 \times 10^{-6} \, \text{C})^2 / 0.1399 \, \text{m}]\\\\\)

Now, let's substitute the values and calculate the total potential energy:

\(\[ U_{\text{total}} = \left( \frac{{(8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2) \cdot (8.07 \times 10^{-6} \, \text{C})^2}}{{0.1399 \, \text{m}}}\right) + \left( \frac{{(8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2) \cdot (8.07 \times 10^{-6} \, \text{C})^2}}{{0.0985 \, \text{m}}}\right) + \left( \frac{{(8.99 \times 10^9 \, \text{Nm}^2/\text{C}^2) \cdot (8.07 \times 10^{-6} \, \text{C})^2}}{{0.1399 \, \text{m}}}\right) \]\)

Performing the calculations:

\(\[ U_{\text{total}} \approx 0.01976 \, \text{J} \]\)

The magnitude of the potential energy on the x-axis, at a distance of x = 9.85 cm, is approximately 0.01976 Joules. Please indicate the direction on your paper when you upload it.

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Answer: The range is  \(\{y \in \mathbb{R}\ | \ y \le -6\}\)

Explanation:

The parabola opens down, forming a "frowny face" in a way (just without the eyes). Or you can think of it as a hill or mountain. This means that the vertex (-3,-6) is at the top of that mountain. It's the highest point of that parabola.

The range is the set of all possible y values. We see that y = -6 is the largest it can get. So y = -6 or y is smaller than this. We would then write \(y \le -6\) to describe all the possible y values.

Therefore, the range is \(\{y \in \mathbb{R}\ | \ y \le -6\}\)

This translates to "y is a real number such that y is -6 or smaller".

So the second answer you wrote is close, but you forgot the "or equal to" portion of the inequality sign.

See below for a visual example of what's going on.

Simple Random ford wants to administer a satisfaction survey to its current customers. using their customer​ database, the company randomly selects customers and asks them about their level of satisfaction with the company.

What is an example of a basic random sample?

Is a straightforward random sample representative?

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Answer:

28

Step-by-step explanation:

By the angle addition postulate,

\(54=\frac{1}{2}x+22+\frac{1}{4}x+11 \\ \\ 54=\frac{3}{4}x+33 \\ \\ 21=\frac{3}{4}x \\ \\ x=28\)