Answer for brainliest. (easy question)

330 ways can the instructor choose the first group of four education students.

What is probability in math?

Given:

12 students

3 groups consisting of 4 students.

Mark can't be in the first group.

The combination formula that I used is =  n! / r!(n-r)!

where: n = number of choices ; r = number of people to be chosen.

This is the formula I used because the order is not important and repetition is not allowed.

Since Mark can't be considered in the first group, the value of n would be 11 instead of 12. value of r is 4.

numerator: n! = 11! = 39,916,800

denominator: r!(n-r)! = 4!(11-4)! = 4!*7! = 120,960

Combination = 39,916,800 / 120,960 = 330

Therefore, There are 330 ways that the instructor can choose 4 students for the first group.

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(1) One of the six countries sent 41 representatives to the congress --> obviously x6=41x6=41 --> x1+x2+x3+x4+A=34x1+x2+x3+x4+A=34.

Given: x1<x2<x3<x4<A<x6x1<x2<x3<x4<A<x6 and x1+x2+x3+x4+A+x6=75x1+x2+x3+x4+A+x6=75. Q: is A≥10A≥10

Can A≥10A≥10? Yes. For example: x1=2x1=2, x2=3x2=3, x3=8x3=8, x4=10x4=10, A=11A=11 --> sum=34sum=34 (answer to the question YES);

Can A<10A<10? Yes. For example: x1=4x1=4, x2=6x2=6, x3=7x3=7, x4=8x4=8, A=9A=9 --> sum=34sum=34 (answer to the question NO).

(2) Country A sent fewer than 12 representatives to the congress --> A<12A<12.

The same breakdown works here as well:

Can 12>A≥1012>A≥10? Yes. For example: x1=2x1=2, x2=3x2=3, x3=8x3=8, x4=10x4=10, A=11A=11, x6=41x6=41 --> sum=75sum=75 (answer to the question YES);

Can A<10A<10? Yes. For example: x1=4x1=4, x2=6x2=6, x3=7x3=7, x4=8x4=8, A=9A=9, x6=41x6=41 --> sum=75sum=75 (answer to the question NO).

(1)+(2) The given examples fit in both statements and A in one is more than 10 and in another less than 10. Not sufficient.

Answer:

11

Step-by-step explanation:

sorry if I got it wrong but from what I understand it is 11

Answer:

Step-by-step explanation:

4 boxes should do

#1

\(\sf \longmapsto3x-4y=11\)

\(\sf \longmapsto3x−4y+4y=11+4y\)

\(\sf \longmapsto3x=4y+11\)

\(\sf \longmapsto \frac{3x}{3} = \frac{4y + 11}{3} \)

\(\sf \longmapsto{x} = \frac{4}{3} y + \frac{11}{3} \)

#2

\(\sf \longmapsto3x+2y=2\)

\(\sf \longmapsto3x+2y+−2y=2+−2y\)

\(\sf \longmapsto3x=−2y+2\)

\(\sf \longmapsto \frac{3x}{3} = \frac{ - 2y + 2}{3} \)

\(\sf \longmapsto \: x = \frac{ - 2}{3} y + \frac{2}{3} \)

Notice that the intersecton of both inequality is located approximately at the point (150,50). This means that there are at least 100 more feet of quarter inch pipe than half inch pipe, and since the combined cost is represented by the inequality

then, it must not cost more than 800. Therefore, the correct option is a)

sum of interior angle =n-2(180)

n is the number angles

5-2(180)

3(180)

=540

x=102+116+123+88=429

540-429=111

x=111

(a) Cylindrical coordinates: r² = 5rcos(θ)

(b) Spherical coordinates: ρ²sin²(φ) = 5ρsin(φ)cos(θ)

(a) To convert the equation x² + y² = 5y to cylindrical coordinates, we substitute x = rcos(θ) and y = rsin(θ). After substituting these values, we obtain r²cos²(θ) + r²sin²(θ) = 5rsin(θ), which simplifies to r² = 5rcos(θ).

(b) To convert the equation x² + y² = 5y to spherical coordinates, we first convert the cylindrical coordinates to spherical coordinates: x = ρsin(φ)cos(θ), y = ρsin(φ)sin(θ), and z = ρcos(φ). Substituting these values, we have (ρsin(φ)cos(θ))² + (ρsin(φ)sin(θ))² = 5(ρsin(φ)sin(θ)), which simplifies to ρ²sin²(φ) = 5ρsin(φ)cos(θ).

In cylindrical coordinates, the equation becomes r² = 5rcos(θ), where r represents the distance from the z-axis, and θ represents the angle in the xy-plane.

In spherical coordinates, the equation becomes ρ²sin²(φ) = 5ρsin(φ)cos(θ), where ρ represents the distance from the origin, φ represents the angle between the positive z-axis and the line connecting the point to the origin, and θ represents the angle in the xy-plane.

These conversions allow us to express the equation in alternative coordinate systems, which can be useful in different contexts or when solving specific problems.

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Answer:

9/49

Step-by-step explanation:

(3/7) 2

(3/7)(3/7)=

3^2/7^2

=9/49

I hope this is right!

Answer:

W

Step-by-step explanation:

The vertical line test is a simple tool to determine if a graph is a function. Draw a vertical line through the graph. If at any point where you draw this line you hit the relation twice or more you know it to not be a function. What I mean is that if you have multiple Y's for a single X, then it cant be a function.

Side note: Vertical is up and down, like the line in X.

3.765. I hope this is the awnser. <33!

Answer:

3.765 miles

Step-by-step explanation:

38.074 - 34.309 = 3.765

Answer:

360

Step-by-step explanation:

The formula for volume is length times width times height

so our equations is 3*12*10=360

The schedule for the number of hours worked by employees at Waterloo Park is represented by the functions b(x), t(x), r(x), and s(x) for Bill, Ted, Rufus, and Socrates, respectively, on a given day x.

In the schedule, the function b(x) represents the number of hours worked by Bill on a given day x. Similarly, the function t(x) represents the number of hours worked by Ted, the function r(x) represents the number of hours worked by Rufus, and the function s(x) represents the number of hours worked by Socrates on the same given day x.

By using these functions, you can determine the specific number of hours each employee worked on any given day. For example, if you have a value for x, you can substitute it into the functions to find the corresponding number of hours worked by each employee.

It's important to note that the functions b(x), t(x), r(x), and s(x) are specific to Waterloo Park and the employees mentioned. The given schedule provides a way to track the hours worked by each employee on different days. By utilizing these functions, you can analyze and calculate the hours worked by each employee effectively.

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To find the volume of a cube or rectangular prism, multiply the length, width, and height of the shape. The formula is V = l × w × h, where V represents volume, l represents length, w represents width, and h represents height.

Cubes and rectangular prisms are both three-dimensional shapes, which means they have volume. Volume is the amount of space an object occupies. To find the volume of a cube or rectangular prism, you need to know its dimensions. The dimensions of a cube or rectangular prism are its length, width, and height.
Volume of a Cube
A cube is a three-dimensional shape that has six equal square faces. To find the volume of a cube, you need to know the length of one of its sides. The formula for finding the volume of a cube is:
Volume = side x side x side
Or
V = s³
Where V is the volume and s is the length of one of its sides.
Volume of a Rectangular Prism
A rectangular prism is a three-dimensional shape that has six faces. The faces of a rectangular prism are rectangles. To find the volume of a rectangular prism, you need to know the length, width, and height of the shape. The formula for finding the volume of a rectangular prism is:
Volume = length x width x height
Or
V = lwh
Where V is the volume, l is the length, w is the width, and h is the height of the rectangular prism.
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Answer:

41,500 people

Step-by-step explanation:

First you find 3% of 36,000= 1,080

Then you do 1080 x 5= 4,500

Then finally do 36,000 + 4,500= 41,500

if x is an integer it does not show the median of the 5 numbers to be greater than the average of the 5 numbers

The value that, when a dataset is arranged, falls exactly in the center is the median. It is a measure of central tendency that distinguishes between the values' lowest and maximum 50%. Depending on whether you have an odd or an even number of data points, the processes for calculating the median change.

Finding the middle number requires sorting all the data points and choosing the center one (or if there are two middle numbers, taking the mean of those two numbers). Example: When the numbers are arranged (1, 4, 7), the number 4 lies in the center, making it the median of 4, 1 and 7.

(1) x must be higher than one or three. It will be the median if it is 8 or fewer.

Consequently, if x = 7, then the list is 1, 3, 7, 8, 12, and median is 7, while the average is 31/5, which equals 6.2, and the answer is YES.

The list is 1, 3, 8, 8, 12, and the median is 8 if x = 8. Average = 32/5 = 6.4; if x = REALLY BIG, the list is 1, 3, 8, 12, and x; and the median is 8; the answer is YES. The answer to the question is NO since the average is REALLY BIG.

insufficient

(2) According to the aforementioned findings, x must be at least 9.

Depending on the amount of x, the list is either 1, 3, 8, x, 12, or 1, 3, 8, x.

The median and mean expressions are the same, regardless of whether order is appropriate:

Mean (average): 8 median = (1 + 3 + 8 + 12 + x)/5 = (24 + x)/5 mean (average):

The mean is at least (24 + 9)/5 = 33/5 = 6.6 since x is at least 9.

This is not convincing because the mean might be either millions or 6.6 (if x = 9) (if x is huge).

insufficient

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Answer: B sorry if I am wrong

Step-by-step explanation:

Answer:

1 × 7 is 7, 7 ×3 is 21

Step-by-step explanation: if this isn't what you meant then tell me, and ill tell you the answer

The statement "if an analysis of variance produces SSbetween treatments = 20 and MSbetween treatments = 10, then the ANOVA is comparing two treatment conditions" is false.

If an analysis of variance produces SSbetween treatments = 20 and msbetween treatments = 10, it does not necessarily mean that the ANOVA is comparing only two treatment conditions. The values ssbetween treatments and MSbetween treatments are measures of variability and do not provide direct information about the number of treatment conditions being compared.

The SSbetween treatments (sum of squares between treatments) represents the variability between the different treatment conditions in the ANOVA. The MSbetween treatments (mean square between treatments) is calculated by dividing the SSbetween treatments by the degrees of freedom associated with the between-treatments variability.

While MSbetween treatments = 10 suggests that there is relatively more variability between treatments compared to within treatments, it does not specify the number of treatment conditions being compared. The ANOVA could involve multiple treatment conditions, and the SSbetween treatments and MSbetween treatments values would still be applicable.

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The following can be answered by the concept of Maxima and Minima.

The absolute extrema of the function f(x) = x^2 – 2x on the given intervals are:

(a) [−1, 2]: Minimum at (-1, 3), Maximum at (2, 0)

(b) (1, 3]: Minimum at (1, -1), Maximum at (3, 3)

(c) (0, 2): Minimum at (1, -1), Maximum at (0, 0)

(d) [1, 4): Minimum at (2, -2), Maximum at (1, -1)

To find the absolute extrema of a function on a given interval, we need to find the critical points of the function and evaluate the function at the critical points as well as the endpoints of the interval.

Firstly, we find the critical points of f(x) by taking its derivative and setting it equal to zero:

f'(x) = 2x - 2 = 0

x = 1

Now, we evaluate f(x) at the critical point and the endpoints of each interval:

(a) [−1, 2]:

f(-1) = 3

f(1) = -1

f(2) = 0

(b) (1, 3]:

f(1) = -1

f(3) = 3

(c) (0, 2):

f(0) = 0

f(1) = -1

f(2) = 0

(d) [1, 4):

f(1) = -1

f(2) = -2

f(4) = 8

Therefore, we can conclude that the absolute extrema of f(x) on each interval are as follows:

(a) [−1, 2]: Minimum at (-1, 3), Maximum at (2, 0)

(b) (1, 3]: Minimum at (1, -1), Maximum at (3, 3)

(c) (0, 2): Minimum at (1, -1), Maximum at (0, 0)

(d) [1, 4): Minimum at (2, -2), Maximum at (1, -1)

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(a) The expression for a Riemann sum of a function f on an interval [a, b] is Δx = (b-a)/n

(b) If f(x)⩾ 0, then the geometric interpretation of a Riemann sum is infinity

(c) If f(x) takes on both positive and negative values, then the geometric interpretation of a Riemann sum is infinity

Riemann sums are an important tool in calculus for approximating the area under a curve. They are used to estimate the value of a definite integral, which represents the area bounded by the curve and the x-axis on a given interval. In this explanation, we will discuss the expression for a Riemann sum, its notation, and its geometric interpretation.

(a) Expression for a Riemann sum:

A Riemann sum is an approximation of the area under a curve using rectangles. We divide the interval [a, b] into n subintervals, each of length Δx=(b−a)/n. The notation used to represent this is:

Δx = (b-a)/n

(b) Geometric interpretation of a Riemann sum when f(x)⩾ 0:

If f(x) is always non-negative, the Riemann sum represents an approximation of the area between the curve and the x-axis on the interval [a, b].

Each rectangle has a positive area, which contributes to the overall area under the curve. The sum of the areas of the rectangles approaches the true area under the curve as the number of subintervals n approaches infinity.

(c) Geometric interpretation of a Riemann sum when f(x) takes on both positive and negative values:

When f(x) takes on both positive and negative values, the Riemann sum represents the net area between the curve and the x-axis on the interval [a, b].

Each rectangle may have a positive or negative area, depending on the sign of f(xi).

The positive areas represent regions where the curve is above the x-axis, and the negative areas represent regions where the curve is below the x-axis.

In conclusion, Riemann sums are used to approximate the area under a curve on an interval [a, b]. The expression for a Riemann sum involves dividing the interval into n subintervals and approximating the area under the curve using rectangles.

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Answer:

\( \frac{ \sqrt{11} }{2 } or \: - \frac{ \sqrt{11} }{2} \)

a base can never be a negative value, therefore the answer is 7. Sorry if im wrong

The best fitting line is one where the intercept of the regression equationrResidual sum of squares is closest to zero. So the option c is correct.

In the given question,

The best fitting line is one where the intercept of the regression equation:

As we know that;

The slope of the line of best fit is the coefficient in a simple regression with a single independent variable. The slope is a mixture of the two coefficients in this example and in any regression with two independent variables. The y-intercept of the line of best fit is constant C.

So, the best fitting line is one where the intercept of the regression equationrResidual sum of squares is closest to zero. So the option c is correct.

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Answer:

1. 324kg

2. 67.5%

Step-by-step explanation:

1.  % increase = 100 + 8 = 108%

\(\frac{108}{100} x 300\)

= 324kg

2. \(\frac{27}{40} x 100\)

= 67.5%

Answer:

A=100

B= 80

C=80

D=100

E=80

F=80

G=100

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

.04(900) = 36

4% is .04 as a decimal

Helping in the name of Jesus.

To find the angle in the triangle ABC determined by the vertices A=(0,0), B=(3,5), and C=(5,2), we can use the concept of vector dot product and the properties of triangles.

First, we find the vectors AB and AC using the coordinates of points A, B, and C:

AB = B - A = (3,5) - (0,0) = (3,5)

AC = C - A = (5,2) - (0,0) = (5,2)

Next, we calculate the dot product of AB and AC:

AB · AC = (3,5) · (5,2) = (3)(5) + (5)(2) = 15 + 10 = 25

The magnitude of AB is ||AB|| = √(3^2 + 5^2) = √34

The magnitude of AC is ||AC|| = √(5^2 + 2^2) = √29

Using the dot product formula, we have:

AB · AC = ||AB|| ||AC|| cos(θ)

Solving for the angle θ, we get:

cos(θ) = (AB · AC) / (||AB|| ||AC||)

Substituting the values, we have:

cos(θ) = 25 / (√34 √29)

Taking the inverse cosine of both sides, we find the angle θ.

The explanation of the answer will depend on the specific value of θ calculated.

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