Dean Wormer wants to compare the grade point average of athletes at Faber College with the overall grade point average at Faber College. She randomly selects three students from each team and determines that their combined grade point average, 2. 3, is the same as that of all students at Faber. In this example, what is the population

Answer:

15. -3 1/4

16. -4 1/2 OR -4 2/4

17. 1 1/4

18. -5 3/4

19. 1/2 OR 2/4

20. -2 1/2 OR -2 2/4

Step-by-step explanation:

Answer:

15) -3.25

16) -4.5

17)1.25

18)-5.75

19).5

20)-2.5

Answer:

k\

Step-by-step explanation:

j

The solution is Option B.

Noise is easily filtered out without damage to the original signal because a narrow range of values is expected

A digital signal encodes data as a sequence of discrete values. A digital signal can only have one value from a finite set of possible values at any given time. A signal which is a discrete function of time, i.e. non-continuous signal, is known as digital signal. Digital computers and digital phones are some of the examples of digital signals

The three types of digital signals are

Continuous-Time/Analog Signal

Discrete-Time Signal

Digital Signal

Given data ,

The digital signals are a more reliable way to encode and transmit information than analog signals

Because , while transmitting information through digital signals , they have less interference over long distances and digital signals offer better clarity

The digital devices only record pieces of sound waves, not full waves.

Now , Analog technology stores information as sound waves; digital technology stores it as strings of ones and zeroes.

Hence , noise is easily filtered out without damage to the original signal because a narrow range of values is expected

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Therefore , the solution of trigonometry function comes out to be tan x tan(4x+18)

When it comes to trigonometry, the relationship between the rectangular line segment and The field is believed to have originated in the 1770s, most likely beginning in the third century through the fusion of astrophysics and mathematical sciences. Numerous mathematical equations and their possible uses in calculations are covered by precise mathematical techniques. The basis of trigonometry are the six basic trigonometric operations.

Here,

tan x tan 4x=1

cos 4X cos X - sin 4x sin x=0

cos 5x=0

5x=(n+1/2)π,n ∈ Z

x=(2n+1)/10 π,0 <x <π

π/10, 3π/10, 5π/10, 7π/10,9π/10 (5π/10 is not possible)

Thus, there are only four solutions.

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​

The average rate of change of the function h(x) = -x² + 8x over the interval 0 ≤ x ≤ 5 is 3.

What is the average rate of change?

The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing. In simple terms, an average rate of change function is a process that calculates the amount of change in one item divided by the corresponding amount of change in another.

To find the average rate of change of a function over an interval, we need to find the difference in the function values at the endpoints of the interval, divided by the difference in the x-values of the endpoints.

In this case, the function is h(x) = -x² + 8x, the interval is 0 ≤ x ≤ 5, and we want to find the average rate of change over that interval.

So, we can use the following formula:

Average rate of change = (h(5) - h(0)) / (5 - 0)

Now we have to substitute the values into the equation:

h(5) = -5^2 + 85 = -25 + 40 = 15

h(0) = -0^2 + 80 = 0

Average rate of change = (15 - 0) / 5 = 3

Hence, The average rate of change of the function h(x) = -x² + 8x over the interval 0 ≤ x ≤ 5 is 3.

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The size of the large tank is 6 liters and the size of the small tank is 3 liters.

The first step is to form a system of equations using the information provided in the question:

3l + 2s = 24 equation 1

2l + 3s = 21 equation 2

Where:

The elimination method would be used to solve the equations:

Multiply equation 1 by 2 and equation 2 by 3:

6l + 4s = 48 equation 3

6l + 9s = 63 equation 4

Subtract equation 3 from equation 4:

5s = 15

Divide both sides of the equation by 5

s = 15 / 5

s = 3 liters

Substitute for s in equation 1 :

3l + 2(3) = 24

3l + 6 = 24

3l = 24 -  6

3l = 18

l = 18 / 3

l = 6

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Answer:

n = 5/8

Step-by-step explanation:

-2n = -1 1/4

-1 1/4 = -5/4

So, our equation is

-2n = -5/4

Divided both sides by -2

n = 5/8

So, the answer is

n = 5/8

The numbers are sort from least to greatest as 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10

A fraction can be defined as the part of a whole number, variable or element.

There are several types of fractions, some of which includes;

From the information given, we have the fractions;

0, 1, 1/2, 8/9, 49/100, 11/10, 1/13

To arrange the values from least to greatest, we have to divide the fractions and find their decimal forms, we have;

1/2 = 0.5

8/9 = 0.89

49/100 = 0.49

11/10 = 1.1

1/13 = 0. 08

However, the arrangement is 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10

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From figure A to figure B, the scale factors are 1/8 and 1/2. To scale shapes in various dimensions, utilize the scale factor.

A polygon is a closed object in a two-dimensional plane comprised of line segments rather than curves. The word "polygon" is a combination of the words "poly" (which meaning many) and "gon" (means sides). A closed figure must include a minimum of three line segments that connect end to end. A polygon is any three or more-sided closed two-dimensional shape. In addition to more complex designs like a dodecagon with twelve sides, polygons include triangles and squares. Polygons include shapes like quadrilaterals, triangles, hexagons, and pentagons. The number of sides the form has is indicated by the name.

given

the scale factor of figure A to figure B

=  smaller dimension / larger dimension

= 2/16

= 1/8

and 4/8

= 1/2

From figure A to figure B, the scale factors are 1/8 and 1/2. To scale shapes in various dimensions, utilize the scale factor.

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Answer:

y = 2x + 1

Step-by-step explanation:

[tex]\frac{5-3}{-3-1}[/tex] = [tex]\frac{2}{-4}[/tex] = [tex]\frac{1}{-2}[/tex]

Perpendicular slopes are the opposite reciprocals .  So the slope of the line will be 2

slope (m) = 2

y = 3  You could use either point given.  I chose (1,3)

x = 1    From the point given (1,3)

y = mx + b  substitute in what you know and solve for b

3 = (2)(1) + b

3 = 2 + b   Subtract 2 from both sides

1 = b

The y-intercept is 1.

y = mx + b

y = 2x + 1

On solving the provided question we can say that - the probability of the event will be there are two red sides, thus multiplying 16.6667 by two results in 33.3333%.

A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.

Each side would be 50%, and if one side were divided among three people, it would equal 16.6667 per person.

Given that there are two red sides, you can multiply 16.6667 by 2 to get 33.3333%.

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No, 8,15 and 16 is not a Pythagorean triplet.

A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple, it also defines the positive integers a, b, and c which is a right triangle that exists with legs a,b, and hypotenuse c.

By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying  a²+b²=c²

One of the simplest Pythagorean triples is the set “3,4,5.”

Now, substitute the values in the above equation:

16²=8²+15²

256=64+225

256[tex]\neq[/tex]289

Therefore, (8,15,16) is not a Pythagorean triplet.

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The distance between points L and K is 4 units.

The distance formula between two points (x₁, y₁) and (x₂, y₂) is gien by,

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].

Given, Are two points L and K.

The coordinate points of L(- 2, 6) and K(- 2, 2).

Therefore, The distance between points L and K is,

[tex]|LK| = \sqrt{(- 2 + 2)^2 + (2 - 6)^2}[/tex].

[tex]|LK| = \sqrt{16}[/tex].

[tex]|LK| = 4[/tex].

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Answer: 12 units

Step-by-step explanation:

∴ Area of Square = side length × side length

⇒144 = lengt²

⇒length = √144

⇒length = 12 units ANSWER

hope that helps...

The volume of the cube, given the lengths of the small cubes used to make the larger cube, is 8 cm ³

The surface area of the cube is 24 cm ²

The total length of the edges of the cube is  24 cm

The volume of a cube can be found by the formula :

= Side x Side x Side

This is because all the sides of a cube at the same and so the volume would measure them three - dimensionally.

The side length of this cube is the length of two of the smaller cubes as these make up a side of the cube :

= 2 x 1

= 2 cm

The volume is therefore :

= 2 x 2 x 2

= 8 cm ³

The surface area of a cube is:

= 6 x side ²

= 6 x 2 ²

= 24 cm ²

The total length of the edges would be:

= 12 edges on a cube x length of each edge

= 12 x 2

= 24 cm

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The person who has the most number 1 in UK is Elvis Presley. He has a total of 21 number 1 which is the highest in history.

The UK Singles Chart is a chart which numbers musician on the basis of their songs and their sales and streams it  was created in 1969. The records and statistics listed here, however, date back to 1952 .

The song which charted the charts was Old Town Road which was recently remixed and launched by Lil Nas X.

Elvis Aaron Presley or more commonly known as Elvis, was an American singer and actor. He dubbed the "King of Rock and Roll", and is now regarded as one of the most significant cultural figures of the 20th century.

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The area of the quarter of the circle is 78.50 squared centimeters.

A circle is a 2 dimensional plane shape that is bounded by a curve. Its area can be determined by;

area of a circle = [tex]\pi r^{2}[/tex]

where r is the value of the radius of the circle.

The radius of a circle is given as the half of its diameter.

Thus, a quarter of a circle is the 4th part of a given circle. This implies of fraction selected when a circle is divided into 4 equal part.

So that;

area of quarter of a circle = area of a circle/ 4

                                          = [tex]\pi r^{2}[/tex]/ 4

The area of quarter of then given circle = ((22/7)*(10)^2)/ 4

                                                       = 78.50 squared centimeters

Therefore, the answer to the area of the quarter circle was found as explained above.

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Answer:

33 degrees

Step-by-step explanation:
Angle 1 and 2 add up to a right angle which is 90 degrees. To find 2, subtract 57 from 90

90-57=33

Therefore 33 degrees is the answer

Please mark me the brainliest

Answer: 73.2

Step-by-step explanation:

78/2 is 39. Now, use the pythagorean theorem to find the hypoteuse (in this case the spine), which is about 73.2

So, on  solving the provided question, we can say that  to form a inequality - x * y > 8

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

here to form a inequality-

let x = goals by each player

y = no. of players

x * y > 8

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Supposing the value of x to be an integer, the values of k that donot

satisfy the given equation 3x = k mod 6 are 1,2,4,5.

An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.

Integers are a set of numbers that include both positive and negative numbers, as well as zero. Whole numbers, on the other hand, only include the set of non-negative numbers starting from 0 (i.e., 0, 1, 2, 3, 4, ...). In other words, whole numbers are a subset of integers.

If 3x = k mod 6 has no solutions in x, then k must not be divisible by 3. The positive integers less than 6 that are not divisible by 3 are 1, 2, 4, and 5. Therefore, k can take on 4 values: 1, 2, 4, and 5.

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Answer:

Step-by-step explanation

The triangle base would be 6

Answer:

12

5

Step-by-step explanation:

if 8 chests = 4hrs

then X chests= 6hrs

cross multiply

48=4x

divide by 4

X= 12

repeat the same for the second using any and you'd get 5

[tex]\cfrac{45p^5q^4-60p^3q^2 - 15p^2q^3}{15p^2 q^3}\implies \cfrac{45p^5q^4}{15p^2 q^3}-\cfrac{60p^3q^2}{15p^2 q^3}-\cfrac{15p^2q^3}{15p^2 q^3}\implies 3p^3q-\cfrac{4p}{q}-1[/tex]

Answer:

C,A, and F

Step-by-step explanation:

the ones that basically give him a chance is the very first one on the left side and the 3rd one down on the left side and the 2nd column the 2nd one hope this helps

1.14 is the answer just do 19%=1.14

Answer:

Step-by-step explanation:

good

Given that,

Perimeter of kite -  38 cm

Let "x" be the one side of kite

Both of the top sides are equal

Therefore, other side = x

One side of a kite is 2 cm less than 2 times the length of another

Therefore,

One of bottom side = 2x - 2

Bottom sides are also equal

Thus, other bottom side = 2x - 5

We know that,

Perimeter = sum of all sides

38 = x + x + 2x - 2 + 2x - 2

38 = 6x - 4

6x = 38 + 4

6x = 42

x = [tex]\frac{42}{6}[/tex]

x = 7

Thus length of each side of kite is:

x = 7

2x - 2 = 2(7) - 2 = 14 - 2 = 12

Thus length of each side of kite is 7 cm , 7 cm , 12cm , 12cm

Please Brainliest

Answer: 1/2 is the slope.

Step-by-step explanation: (-2-6)/(2-6) = -8/-4

-8/-4 Simplified is 1/2

Therefore 1/2 is your slope

Hope this helps!