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There are 10 possible selections of groups of 2 students.

We have,

Number of students in chess club= 5

and, 2 students selected at random.

So, the possible number of selection

= C(5, 2)

= 5! / 2! (5-2)!

= 5!/ 2! 3!

= 5 x 4 /2

= 10

Thus, there are 10 possible selection.

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Answer:Square

Step-by-step explanation:

A square is a quadrilateral with four right angles and four congruent sides. All squares are rectangles and rhombuses.

Answer:

D. square

Step-by-step explanation:

As an explanation, I have attached a picture of the 4 quadrilaterals and their internal angles and sides.

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Answer:

She should get a speeding ticket. The speed limit is 60mph and her speed was 78 mph, 18 miles over the speed limit.

Step-by-step explanation:

She drove 117 miles in 90 minutes.

117/90 = 1.3 miles per minute

1.3 miles x 60 minutes = 78 mph

A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)

In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.

Answer: 44

Step-by-step explanation:

since the inscribed angle is half of true arc measure, (3x+10)= 2(2x-17).

when you work this out, you get 44 as x.

The value of x from the given figure is 44°. Therefore, option B is the correct answer.

The angle subtended by an arc at the center is twice the angle subtended at the circumference . More simply, the angle at the center is double the angle at the circumference.

From the given figure,

Angle at circumference is (2x-17)° and angle at center is (3x+10)°.

Now, (3x+10)°=2(2x-17)°

3x+10=4x-34

4x-3x=10+34

x=44°

Therefore, option B is the correct answer.

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Answer:

There are 27 students

Step-by-step explanation:

Because 135÷5=27 so basically there are 27 students and every one of them gets 5 papers

The algebraic expression for the scenario is 15 + x = 60

From the question, we have the following parameters that can be used in our computation:

Amount saved up = $15

Cost of item = $60

Amount gifted by your grandma = x

The above parameters means that the mathematical statement is an equation statement

So, we have the following representation

Amount saved up + Amount gifted by your grandma = Cost of item

Substitute the known values in the above equation, so, we have the following representation

15 + x = 60

Hence, the algebraic expression is 15 + x = 60

The question does not require that the equation be solved

However, when it is solved, we have:

15 + x = 60

Subtract 15 from both sides

x = 45

So, the amount is 45

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As a result, the window has a 6 square feet square space.

What makes something rectangular?

It features four right angles and two sets of parallel sides. An equiangular quadrilateral is another name for a rectangle. The reason for this is that a rectangle is indeed a quadrilateral form (4-sided shape) with parallel sides that are equal to each other and four corners with 90-degree angles.

Since area is usually measured in square feet, we must convert the provided dimensions from inches to feet in order to determine the window's area in square feet. 12 centimeters make up one foot, so

Length in feet = 36 inches / 12 inches/foot = 3 feet

Width in feet = 24 inches / 12 inches/foot = 2 feet

The window's square-footage is as follows:

Area = Length x Width = 3 feet x 2 feet = 6 square feet

Therefore, the area of the window in square feet is 6 square feet.

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The random variable x is uniformly distributed between 5 and 19. To compute the standard deviation of x, we can use the formula for the standard deviation of a uniformly distributed continuous random variable:

SD = √[(b - a)^2 / 12]
Here, 'a' represents the lower bound (5) and 'b' represents the upper bound (19). Plugging these values into the formula, we get:
SD = √[(19 - 5)^2 / 12]
SD = √[(14)^2 / 12]
SD = √[196 / 12]
SD = √[16.333]
Therefore, the standard deviation of x is approximately 4.041. The correct answer is option (a) 4.041.

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Answer:

A=2πrh+2πr2=2·π·3·2+2·π·32≈94.24778

Step-by-step explanation:

its a lot and i hope this is the answer

\(\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=2 \end{cases}\implies SA=2\pi (3)(2+3) \\\\\\ SA=6\pi (5)\implies SA=30\pi \implies SA\approx 94.2~ft^2\)

Answer:

4 because the edges are like vertices.

Answer:

Option (4)

Step-by-step explanation:

Parent function of the graph attached,

f(x) = \(\sqrt{x}\)

If the given function is shifted by 'a' units to the left,

Rule for the transformation is,

g(x) = f(x + a)

So the transformed function will be in the form of g(x) = \(\sqrt{x+a}\)

Therefore, from the given options, f(x) = \(\sqrt{x+4}\) will match our requirements.

Option (4) will be the answer.

Answer:

D

Step-by-step explanation:

Angle DFE=30 -Vertically Opposite Angle

DFE=FDE=30 -Base angles of an isosceles triangle

y+x+30=180 -sum of angles of a triangle

y+30+30=180

y+60=180

y=180-60

y=120

Answer:

Step-by-step explanation:

Given expression:

Distribute and simplify:

Apply distributive law

\(\\ \tt\longmapsto -0.5(20f-16)\)

\(\\ \tt\longmapsto -0.5(20f)-0.5(-16)\)

\(\\ \tt\longmapsto -10f+8\)

The number you should pick is 7

To determine the best number to pick, we need to analyze the probabilities of rolling each possible sum.

The 6-sided dice can produce numbers from 1 to 6, and the 10-sided dice can produce numbers from 1 to 10. The maximum possible sum is 6 + 10 = 16.

We can calculate the probabilities of each sum by considering all the possible combinations of numbers on the dice.

Here is a table showing the sums and their corresponding probabilities:

Sum  Probability

2      1/60

3     2/60

4          3/60

5     4/60

6     5/60

7     6/60

8     5/60

9     4/60

10     3/60

11     2/60

12      1/60

13-16 0

To determine the best number to pick, we need to consider the probabilities of winning for each sum. The higher the probability, the better chance of winning.

By examining the probabilities, we can see that the sums with the highest probabilities are 7  with a probability of 6/60 or 1/10.

Therefore, if you want to maximize your chances of winning, you should pick 7 as your guess.

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The solutions to the systems of linear equations by elimination method are listed below:

In this problem we find four cases of two linear equations with two variables. There are different methods to solve the system, herein we must use elimination method to find the solution to each system of linear equations, which takes advantage of adding / subtracting linear equations and multiplying linear equations by scalars in order to get every solution set.

Case 1

x - y = 1

x + y = 3

First, add the two equations:

(x - y) + (x + y) = 1 + 3

2 · x = 4

x = 2

Second, determine the variable y:

y = 3 - x

y = 3 - 2

y = 1

Point (x, y) = (2, 1) is a solution of the system of equations.

Case 2

x + y = 1

x + y = 11

Subtract the second equation from the first one:

(x + y) - (x + y) = 1 - 11

0 = - 10 (CRASH!)

The system of linear equations has no solution.

Case 3

x + 4 · y = 11

x - 6 · y = 11

First, subtract the second equation from the first equation:

(x + 4 · y) - (x - 6 · y) = 11 - 11

10 · y = 0

y = 0

Second, determine the variable y:

x = 11 + 6 · y

x = 11 + 6 · 0

x = 11 + 0

x = 11

Point (x, y) = (0, 11) is a solution of the system of equations.

Case 4

- 3 · x + 3 · y = 6

x + 3 · y = 18

First, subtract the second equation from the first equation:

(- 3 · x + 3 · y) - (x + 3 · y) = 6 - 18

- 4 · x = - 12

x = 3

Second, determine the variable y:

3 · y = 18 - x

3 · y = 18 - 3

3 · y = 15

y = 5

Point (x, y) = (3, 5) is a solution of the system of equations.

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True, a simple random sample is a sample of n observations that has the same probability of being selected from the population as any other sample of n observations.

What does standard deviation mean ?

The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean.

                                Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

What does a simple random sample mean?

A subset of participants is randomly chosen from a population by the researcher using simple random sampling, a sort of probability sampling.

                          The probability of being chosen is the same for every person in the population. Then, data are gathered from as much of this randomly selected subgroup as possible.

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1) The length of the side DE by similar triangle theorem is; Option C: 20

3) If RY = b + 4 and SE =20, then the value of b is; 6

Similar triangles are defined as triangles that have the same shape, but their sizes may vary. Thus, we can say that equilateral triangles, squares of any side lengths are as well examples of similar objects. This means that, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

1) ΔABC ~ ΔDEF

We are given the similar triangles ABC and DEF.

We are also told that ΔABC ~ ΔDEF.

Now, If AB = 10, AC = 8 and DF = 16

Thus, by similar triangle theorem, we can apply it to the attached triangle to get;

AB/DE = AC/DF

DE = (AB * DF)/AC

DE = (10 * 16)/8

DE = 20

3) Now, by using the concept of similar triangles, since we are given that;

R is the midpoint of line SH.

Y is the midpoint of line EH

RY = b + 4

SE =20

(b + 4)/20 = 1/2

Cross multiply to get;

2(b + 4) = 20

2b + 8 = 20

2b = 20 - 8

b = 12/2

b = 6

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Answer:

what do you need help with

Step-by-step explanation:

Answer:

Aight what kind?

Step-by-step explanation:

Answer:

try your best

Step-by-step explanation:

Answer:

Washing Cars: $33

Clearing Tables: $91

Step-by-step explanation: Multiply 11 by 3, and multiply 13 by 7. I hope I helped!

Step-by-step explanation:

for every 1 hour she works she gets 11 dollars washing the cars, so you multiply the number of hours by the amount of money she gets each hour. Like so,

11 x 3 = 33, so 33 dollars from washing cars

next - 13 x 7 = 91 dollars from house cleaning

add together the amount of each so, 33 + 91 = 124, 124 is the answer.

The factors of 14 are the numbers that divide evenly into 14. The factors of 14 are 1, 2, 7, and 14.

The first factor of 14 is 1. Every number can be divided by 1, so 1 is a factor of every number. The second factor of 14 is 2. This is because 14 divided by 2 equals 7. The third factor of 14 is 7. Seven times two is equal to 14. The fourth factor of 14 is 14. This is because 14 divided by 14 is equal to 1.

Factors are important when solving math problems. They are also important when looking at patterns and sequences in math. Knowing the factors of a number can help to identify patterns and sequences, and can also help solve equations and inequalities. Knowing the factors of a number can also help to find the greatest common factor of two or more numbers.

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Answer:

i am not sure try 56

Step-by-step explanation:

Hope this helps!:)

Answer:

Tom weighs 5 times as much as Nicholas

Step-by-step explanation:

To find how many times as much as Nicholas Tom weighs, we will divide Tom's weight by Nicholas' weight. This is done as follows:

Tom's weight = 168.5 pounds

Nicholas' weight = 33.7 pounds

Dividing both weights = 168.5 ÷ 33.7 = 5

∴ Tom weighs 5 times as much as Nicholas

Answer:

cookware manufactures who make pans out of steel only

Step-by-step explanation:

Answer:

x=25

Step-by-step explanation:

60°+95°+X=180°

X=180°-60°+95°

X=180°-155

X=25°

The permutations of four objects m, I, n, and k taken two at a time without repetition are: mn, mk, mi, nm, nk, ni, km, kn, ki, in, im, ik.

P is the total number of permutations, which is equal to 12.

The correct answer is OB, which lists all 12 permutations.

P2 is the number of permutations taken two at a time with repetition allowed. This means that we can repeat the same object in a permutation.

There are 16 possible permutations with repetition allowed: mm, ml, mn, mk, ll, ln, lk, nn, nk, kk, ii, ik, nn, ni, nk.

Therefore, P2 is equal to 16.

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