this type of bias occurs when researchers fail to choose a representative sample of potential respondents.

The combination selecting five players from a 10-member tennis team to make a trip to a match at another school = 252

What do you mean by permutations and combinations?

A permutation is an act of arranging objects or numbers in order.

Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.

given that

selecting five players from a 10-member tennis team to make a trip to a match at another school

we solve this by using combinations

=10[tex]C_{5}[/tex]

= [tex]\frac{10!}{5!(10-5)!}[/tex]

=[tex]\frac{3628800}{120*5!}[/tex]

=252

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Answer:

128,340 words

Step-by-step explanation:

There are six types of possible quadrilaterals namely trapezium, parallelogram, rectangle, rhombus, square, and kite.

Explanation:

Different types of possible quadrilateral :

Therefore, there are six types of possible quadrilateral : trapezium, parallelogram, rectangle, rhombus, square, and kite.

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A table of values is a collection of ordered pairs that is often produced by replacing numbers in an equation (relation).

Given,

Table of value;

When numbers are substituted into an equation, they typically produce a set of ordered pairs called a table of values (relation). Each ordered pair of numbers in the values table's table of values is related to one another according to the equation.

The relationship between the various data points is displayed using tables of values. In scientific lesson, a table of values could be used. Tables of values are used by scientists and researchers to record their data, which is subsequently examined for patterns. Then, they can utilize this pattern to forecast outcomes.

Therefore,

The process of substituting numbers in an equation results in the creation of a table of values, which is a collection of ordered pairs (relation).

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The length of the radius of a circle with the equation x² + y² = 8 is 2√2 units  .

In the question ,

it is given that ,

the equation of the circle is ⇒ x² + y² = 8 ,

we know that the general equation of the circle is given as x² + y² = b² ;

and "b" is the radius of circle ,

On comparing both the equations ,

we get ,

b² = 8

Simplifying the above equation further ,

we get ,

b = √8 = √2 × 2 × 2

the radius "b" is

b = 2√2 units .

Therefore , the length of the radius of the circle is 2√2 units .

The given question is incomplete , the complete question is

What is the length of the radius of a circle given the equation x² + y² = 8 ?

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When a six-sided die and an eight-sided are rolled then the probability that exactly one 6 is rolled is 1/4.

Given, a six-sided die (with numbers 1 through 6) and an eight-sided die (with numbers 1 through 8) are rolled.

we have to find the probability that exactly one 6 is rolled.

First we have to check the total number of outcomes on rolling both the dices.

Now, the total number of outcomes be, 48

As, we the favorable outcomes be, the outcome with exactly one 6 on the dices.

Favorable Outcomes = { (1,6) , (2,6) , (3,6) , (4,6) , (5,6) , (6,1) , (6,2) , (6,3) , (6,4) , (6,5) , (6,7) , (6,8)}

The total number of favorable outcomes be, 12

So, the probability that exactly one 6 is rolled is

P(E) = Number of favorable outcomes / Total number of outcomes

P(E) = 12/48

P(E) = 1/4

Hence, the probability that exactly one 6 is rolled is 1/4.

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Answer:

Don't overthink it.

[tex]V=\frac{1}{3} Ah[/tex] is the same as [tex]V=\frac{Ah}{3}[/tex]

Multiply both sides by 3

3V = A * h

Then get A by itself by dividing both sides by h.

[tex]A = \frac{3V}{h}[/tex]

Answer:

I think it's A= lw

Step-by-step explanation:

The question says to rearrange the formula to highlight the base area, and the formula to finding the base area of a pyramid is A = l w (length multiplied by width)

Answer:

6.23yx-8y

Step-by-step explanation:

simplified answer!

The supplied statement states that there are 20 large snacks and 40 little snacks.

When two separate answers to a problem are combined, a new, complete solution is produced. Setting up a table will facilitate resolving these issues.

Alignment allows us to determine the ratio in which the ingredients/items have been combined and at what price they are offered to generate profit or face loss. A mixture, as the name implies, is combining two or more things together.

Briefing:

Total number of snacks = 60

Total earnings = $220

If only tiny snacks are sold, the total cost would be $180 (60 x 3).

Earnings difference = 220 - 180 = $40

$5 - $3 = $2 is the difference in the cost of the snack.

Number of Large snacks = $40 ÷ 2 = 20

Small snack count is 60 - 20 = 40.

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Answer:

The expression √x+5+√1-x is defined for all values of x such that the value under the square root sign is non-negative. We can find the values of x that satisfy this condition by considering each of the square roots separately.

For the first square root, the value under the square root must be non-negative, so we have the following inequality:

x + 5 ≥ 0

x ≥ -5

For the second square root, the value under the square root must be non-negative, so we have the following inequality:

1 - x ≥ 0

x ≤ 1

Therefore, the expression is defined for all values of x that satisfy both of these inequalities. This means that the expression is defined for values of x in the range -5 ≤ x ≤ 1. The correct answer is therefore option D.

Answer: the answer is -193

Answer:

3x + 4y = 16

Step-by-step explanation:

3x + 4y = 12

3(-4) + 4(7) = -12 + 28 = 16

Answer: 3x + 4y = 16

Equations −2x+5y=−2 and 4x−10y=4 have no solution.

An inconsistent system is a set of equations that cannot be solved. Although a system of linear equations typically has a single solution, it occasionally may have infinite or no solutions (parallel lines) (same line). The solution set refers to all possible answers to an equation or inequality. The no solution symbol,, is used to indicate that there is no solution to an equation or inequality. None Found: There are no solutions when the lines that make up a system are parallel because the two lines have no points in common.

Given,

Equations,

−2x+5y=−2 .. Equation 1

4x−10y=4 .. Equation 2

Multiplying equation 1 by 2

-4x + 10y = -4

4x - 10 y = 4

-----------------

0

Equations −2x+5y=−2 and 4x−10y=4 have no solution.

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The value of sin(e) in the given right angle triangle DEF is 3/5

Given the Right angle DEF,

It is not specified whether angle D= angle F =90°.

Based on the alternatives presented, either base and altitude =3 or 4 and

5 is the hypotenuse.

Case 1. When ∠D=90° In Δ E D F

Sin (E) =altitude/hypotenuse

= 3/5  OR 4/5 [ if base=3, then altitude =4 and if Base =4, Altitude=3]

Case 2. When ∠F=90°, In ΔEFD

Sin (E) =altitude/hypotenuse

= 3/5 or 4/5 [Depending on whether Base =3 then altitude  =4, OR Altitude =3 , then Base =4]

Looking at all of the possibilities, 3/5 and 4/5 are accurate.

However, the solution is 3/5, so whether you pick angle D or angle F as 90°, take Altitude=3, Hypotenuse =5, and Base=4.

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Answer:

A. 3/5

Step-by-step explanation:

For right triangle, c^2 = a^2 + b^2

given c = EF = 10, a = DE = 8, b = DF

10^2 = 8^2 + DF^2

DF^2 = 100 - 64 = 36

DF = 6

sin(E) = opposite/hypotenuse = 6/10 = 3/5

Answer:

19,200

Step-by-step explanation:

multiply them all together

Answer:

Formula 1 Racing

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find value of X ,first solve LHS

37*2x-37*14 =74x-518 +x

=75x-518

Now solve RHS

135x+75

Now equate LHS=RHS

75x-518=135x+75

75x-135x=75+518

-60x=593

x= -593/60

=-9.88

The vertex of the equation is (3, -290). Then the solutions of the equation will be 99.67 and -93.67.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The equation is given below.

y = 3x² - 18x - 263

Convert the equation into vertex form, then we have

y = 3x² - 18x - 263

y = (√3x)² - 2 · √3x · 3√3 + 27 - 27 - 263

y = 3(x - 3)² - 290

Then the solution of the equation will be given as,

3(x - 3)² - 290 = 0

3(x - 3)² = 290

x - 3 = ± 96.67

x = 3 ± 96.67

x = 3 + 96.67, 3 - 96.67

x = 99.67, -93.67

The vertex of the equation is (3, -290). Then the solutions of the equation will be 99.67 and -93.67.

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The cos(m) In the right triangle lmn is  19/20.

Complementary angles are formed when the total of two angles equals 90 degrees. 30 degrees and 60 degrees, for example, are complementary angles.

We have L + M = 90 because the angles L and M are complimentary.

Assuming that,

sin L = sin (90 - L) = sin M

sin (L) = 19/20.

As we know from our rule, the sine of angle L is equal to the cosine of L's complement, which is M.

This implies that the cosine of M is 19/20.

As a result, cos(M) equals 19/20.

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Answer:

60%

Step-by-step explanation:

The problem is basically saying:

12 is what percent of 20, which we can make this into a solvable equation:

12   is    what percent     of    20

12   =          ?%             x      20

Now to solve by dividing 12 by 20

12/20 = 0.6

Multiply 0.6 by 100 to get 60%

16250 many different three-letter words—including nonsense words—have different letters in the next position.

Given that,

We have to find how many different three-letter words—including nonsense words—have different letters in the next position.

We know that,

The number of alphabets are 26

First letter has 26 choices.

Second letter can not be same has first letter so 25 choices.

Third letter can not be same has second letter so 25 choices.

So,

Total words = 26×25×25=16250

Therefore, 16250 many different three-letter words—including nonsense words—have different letters in the next position.

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Answer:

To find the account balance after 17 years, we need to first calculate the annual interest rate. Since the interest is compounded 4 times per year, the effective annual interest rate is equal to (1 + 0.04/4)^4 - 1, which is about 4.169%.

To find the account balance after 17 years, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the initial principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years. Plugging in the values we know, we get:

A = 5360(1 + 0.04169/4)^(4*17)

A = $9,907.35

So the account balance after 17 years will be about $9,907.35.

Answer:

2 cups

Step-by-step explanation:

there should be two cups of milk in it. If I’m not correct I will redo this.

Answer:

It sounds like the store is offering a sale on televisions where you can get a 30% discount on the original price of the television, as well as an additional $100 off with a coupon. This means that you can use both the discount and the coupon to save money on your purchase of a television. If you have a coupon for $100 off, you can use it to save an additional $100 on top of the discount you receive from the sale. This can help you save even more money on your purchase. It's always a good idea to check for sales and coupons when shopping for big-ticket items like TVs, as it can help you save a significant amount of money.

Answer:

x=12degrees

Step-by-step explanation:

1st Angle=23degrees

2nd Angle=(4x+19)

3rd Angle=(In order to find this angle we need to take this angle as angle3)

angle3+90=180

angle3=180-90

angle3=90degrees

Now lets start with the sum

Sum of angles of a triangle=180degrees

23+(4x+19)+90=180

113+(4x+19)=180

(4x+19)=180-113

(4x+19)=67

4x=67-19

4x=48

x=48/4

x=12degrees

Hope this helps you

Answer:

Hope this helps you!

Step-by-step explanation:

The age of this fossil can be calculated using the following formula:

Age = (5715 years) * ln(1/0.15) / ln(2)

Age = 81,922 years

There are 26¹⁰ - 4 × (25)¹⁰ + 2 × (24)¹⁰ + 22¹⁰ exponential generating Function to make an arrangement  of Pennies, nickels, dimes and quarters with at least one penny and an odd number of quarters.

Exponential generating Function:

An exponential generator provides a way to encode a sequence as the coefficients of a power series. This encoding helps in many ways.

Therefore, According to the Question:

The exponential generating function is,

G(x) = (x¹/1! + x²/2! + ...)(x¹/1! + x³/3! + x⁵/5! +...)(x°/0! + x¹/1! + x²/2! + ...)²

where the first factor describes the pennies, the second describes the quarters, and the last describes nickels and dimes.

We want the coefficient of  Xˣ /r!.

Using exponential identities we get,

G(x) = [tex]e^{x} - 1 (\frac{e^{x} - e^{-x} }{2} ) (e^{x} )^2[/tex]

      = [tex]\frac{1}{2} (e^{4x} -e^{2x} -e^{3x} + e^{x}[/tex]

and the coefficient is

[tex]\frac{1}{2} (4^r -2^r -3^r +1)[/tex]

The generating function is

G(x) = (x¹/1! + x²/2! + ...)⁴(x°/0! + x¹/1! + x²/2!+...)²² = ()⁴,

and we again want the coefficient of  X¹⁰/10!.

Multiplying we get,

G(x) = [tex](e^{4x} - 4e^{3x} + 2e^{2x} + 1)e^{22x}[/tex]

       = [tex]e^{26x} - 4e^{25x} + 2e^{24x} +e^{22x}[/tex]

so the coefficient of  X¹⁰/10! is

26¹⁰ - 4 × (25)¹⁰ + 2 × (24)¹⁰ + 22¹⁰

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Answer:

No, it's doesn't mean you are not smart. Just maybe you need to focus on learning most of the things to solve in math, you need to start with what is given to you.

Here given to you that every scale of 2 in = 8ft in actual truck.

So in order to know what 6in equals. Break down 6 into something you can use which is 2in = 8ft

6 = 2 + 2 + 2

So 6in = 8ft + 8ft + 8ft

Which can be simplified to 6ft = 24 ft.

Answer:

24

Step-by-step explanation:

8 divided by 2 is 4 and 4 times 6 equals 24. Or you could do 6 divided by 2 equals 3 and 8 times 3 equals 24.

6 socks must be removed from the drawer to guarantee that at least two socks of same color have been removed.

Given,

It makes no difference how many socks there are; what matters is how many different colours of socks there are, as there are five different colours.

So, if 6 socks are taken from the drawer, it is almost certain that at least two of them will be the same colour.

Because, after taking 5 socks, you will either have a match or a difference. To ensure a matching pair, add one more sock.

You have a pair if the first five are the same colour. If none of the first five socks match, the sixth sock will match one of the first five.

So with 6 socks, you are guaranteed that at least 2 of them will be the same color.

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