How d find the values of each letters for this question?

Answer:

\(m = \frac{6 - 5}{4 - 1} \\ \color{green} \boxed{m = \frac{1}{3} }\)

Answer:

mean of the sample μ₁ = $0.27

Standard deviation of the sample σ₁ = $0.83

Step-by-step explanation:

Step(i):-

given mean of the population 'μ' = $19.67

Mean of the sample

                            \(= \frac{mean}{n} = \frac{19.67}{72} = 0.27\)

Mean of the sample  μ₁ = 0.27

Step(ii):-

Given standard deviation of the  population  (σ) =  $7.02

Standard deviation of sample

                             \(= \frac{mean}{\sqrt{n} } = \frac{7.02}{\sqrt{72} } = 0.827\)

Standard deviation of sample = 0.827≅ 0.83

Final answer:-

mean of the sample μ₁ = $0.27

Standard deviation of the sample σ₁ = $0.83

a. Category with the greatest frequency is 20 - 24

b. 14 students

c. The percentage is 7%

Frequency is simply described as the number of times an event or observation happened in a given study or experiment that is carried out.

From the information given, we have that;

a. The category with the greatest frequency is the one with most words spelt, we have;

20 - 24

b. The number of students that spelt 35 - 39 words is traceable to

14 students

c. If the total number of students is 200

Then, the percent of students in the 35 - 39 category is;

14/200 × 100/1

Multiply the values

7%

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Answer:

10, 11, 12, 13, 14, 15, 16, 17, 18, 19

Step-by-step explanation:

A two-digit number can be written as:

a*10 + b

Where a and b are single-digit numbers.

a is the tens digit

b is the units digit.

the reverse number is:

b*10 + a

We know that:

"If you add the digits together and multiply the result by 10, you will get 9 more than the reverse number"

Then:

(a + b)*10 = b*10 + a + 9

We now need to solve this for a and b, where the other restriction that we have is that a and b can be any whole number of the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

Then:

(a + b)*10 = b*10 + a + 9

a*10 + b*10 = b*10 + a + 9

subtracting b*10 in both sides, we get:

a*10 = a + 9

solving this for a, we get:

a*10 - a = 9

a*(10 - 1) = 9

a*9 = 9

a = 9/9

a = 1

and notice that we do not have any restriction for b.  So b can be any number of the set.

for example, if b = 2

a*10 + b = 12

now let's test the property:

10*(1 + 2) = 2*10 + 1 + 9

30 = 20 + 10 = 30

now if b = 4, we have:

a*10 + b = 1*10 + 4 = 14

10*(1 + 4) = 4*10 + 1 + 9

50 = 50

So we can see that for any value of b, this will work.

So the only restriction that we have, is that a must be equal to 1.

Then the numbers are:

10, 11, 12, 13, 14, 15, 16, 17, 18, 19

The possible numbers are 10, 11, 12, 13, 14, 15, 16, 17, 18 and 19

Assume the digits of the two-digit number are x and y, where:

So, the original number (n) is:

\(n = 10 \times x + y\)

When the digits are added, and multiplied by 10, we have the following equation:

\((x + y) \times 10 = 9 + (y \times 10 + x)\)

Expand the equation

\(10x + 10y = 9 + (10y + x)\)

Remove bracket

\(10x + 10y = 9 + 10y + x\)

Subtract 10y from both sides

\(10x = 9 + x\)

Subtract x from both sides

\(9x = 9\)

Divide both sides by 9

\(x = 1\)

Recall that the number is represented as:

\(n = 10 \times x + y\)

So, we have:

\(n = 10 \times 1 + y\)

\(n = 10 + y\)

This means that, the possible numbers are from 10 to 19

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There are 2 real solutions for the quadratic equation y=x²+4x-6​.

A second-order polynomial equation in one variable, x, using the formula ax2+bx+c=0, is known as a quadratic equation. A polynomial of degree two in one or more variables in mathematics is known as a quadratic polynomial. Any polynomial function that is defined by a quadratic polynomial is said to be quadratic. The terms "quadratic polynomial" and "quadratic function" were practically interchangeable until the 20th century since it was difficult to tell a polynomial from its corresponding polynomial function.  A quadratic function with only one variable, for instance, has the following form:

The quadratic equation presented is y=x²+4x-6

We must ascertain how many possible solutions exist for this function.

x²+4x-6.

x²+4x-6=0

= (-4±√16-4(1)(-6))/2

=(-4±√-40)/2

= -2±10

Therefore, there are 2 real solutions for the quadratic equation

y=x²+4x - 6​.

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Answer: 1256.63706

Step-by-step explanation: A=(π20)2

The approximate area of the circle segment bounded by arc DE and chord DE is approximately 17.72 square units.

To approximate the area of the circle segment bounded by arc DE and chord DE, you can use the following formula:

Area = (1/2) * r^2 * (θ - sinθ)

Where:

r is the radius of the circle (r = 20 in your case).

θ is the central angle in radians (47° converted to radians is approximately 0.8203 radians).

Let's calculate it:

θ = 47° * (π / 180) ≈ 0.8203 radians

Now, plug these values into the formula:

Area = (1/2) * (20^2) * (0.8203 - sin(0.8203))

Area ≈ (1/2) * 400 * (0.8203 - 0.7317)

Area ≈ (1/2) * 400 * 0.0886

Area ≈ 17.72 square units

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11 minutes + 4 minutes more yesterday = 15 total minutes

Answer: 15 minutes

Answer:

Emilia waited 11 minutes wich was 4 minutes earlier so 11+4 because it was 4 miutes earlier so 11 minutes + 4 minutes = 15 minutes so this means Emilia wait 15 minutes for the bus yesterday

Step-by-step explanation:

Answer:

Angle 1= 106° and Angle 2=74°

Step-by-step explanation:

Angle 2 is 74° because lines a and b are parallel, and since there is a transversal, the 74° angle and angle 2 are corresponding angles.

Angles 1 and angle 2 are supplementary, so you would just do 180° - 74° and you get 106°

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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Answer:

The exponential function is

\(y = {2}^{x} \)

Answer:

  (c)  8 jars

Step-by-step explanation:

You want to know the number of 1.25 quart jars that can be filled from a 2.5 gallon container.

The number of jars can be found from ...

  (2.5 gal) × (4 qt/gal) × (1 jar)/(1.25 qt) = (2.5·4/1.25) jars = 8 jars

Lorraine can fill 8 jars from the 2.5 gallon pot.

<95141404393>

Answer:

B second one

Step-by-step explanation:

5.5

Answer:last one

Step-by-step explanation:

4j=-22 divide

4. 4

J=-5.5

The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.

To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.

Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).

The formula for sine is:

sin(angle) = opposite / hypotenuse

Rearranging the formula, we have:

hypotenuse = opposite / sin(angle)

In this case, the opposite side is the vertical distance, which is h.

So, the formula becomes:

hypotenuse = h / sin(angle)

To find h, we can use the formula for the length of the zip wire:

h = 25 * tan(angle)

Substituting this into the previous formula, we get:

hypotenuse = (25 * tan(angle)) / sin(angle)

Calculating the value, we have:

hypotenuse = (25 * tan(10°)) / sin(10°)

Using a calculator, we find:

tan(10°) ≈ 0.1763

sin(10°) ≈ 0.1736

Substituting these values, we can calculate the length of the zip wire:

hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters

Therefore, the length of the zip wire is approximately 25.35 meters.

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Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

The formula for finding the area of a circle using its radius is:

The formula for finding the area of a circle using its radius is:A = πr²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14

Step-by-step explanation:

Hope it Helps

The formula for finding the area of a circle using its radius is π * r².

The formula for finding the area of a circle using its diameter is (π/4) * d².

The formula for finding the area of a circle using its radius is:

A = π * r²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

r represents the radius of the circle.

If you have the diameter of the circle instead of the radius, you can use the following formula:

A = (π/4) * d²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

d is the diameter of the circle.

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The given expression is

g(h + 2h)

We woulld substitute g = 2 and h = 6 into the given expression. It becomes

2(6 + 2 * 6)

= 2(6 + 12)

= 2(18)

= 36

Answer:

1. 4*$5 = $20

2. 6 1 6

0 2 0

3 5 15

Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.

To determine how many games Jerrica would have to win in a row in order to have an 80% winning record, we need to calculate the number of games she needs to win out of a certain total.

Let's denote the number of games she needs to win in a row as x. If she wins x additional games, her total wins would be 20 + x, and her total games played would be 35 + x.

To have an 80% winning record, she would need to win 80% of the total games played. Mathematically, this can be expressed as:

(20 + x) / (35 + x) = 80 / 100

Cross-multiplying, we get:

100(20 + x) = 80(35 + x)

Expanding and simplifying:

2000 + 100x = 2800 + 80x

Subtracting 80x from both sides:

20x = 800

Dividing by 20:

x = 40

Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.

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A sorting algorithm is defined as an algorithm that sorts the elements of a list. The most commonly used sequences are numerical sequence and lexicographical sequence, ascending or descending.

A sorting algorithm is used to reorder an array or list of elements according to an element comparison operator. Comparison operators are used to define a new order of elements in that data structure. Consider example, The above list of characters is sorted in ascending order by their value. That is, characters with lower values are placed before characters with higher values. It is important in real life because it supports the development of the scientific concept that things can be owned and organized into distinct groups (e.g. creatures, cars, weather types, etc.). We will now discuss some real-world examples of using sorting algorithms.

1) Your phone's contact list is sorted. This means that your data is organized in this way so you can easily access the contacts you want from your phone. That is, "I ordered."

2) Paper sorting : Imagine a teacher sorting students' work alphabetically by student name. This type of operation is similar to the functionality of sorting algorithms such as bucket sort. Sorting is more efficient process.

3) Traffic lights : Traffic lights are a good example of how algorithms are used in the real world around us. Next time you get stuck in a car at a red light, think about the algorithm that traffic lights run." Most traffic lights don't automatically switch between green, yellow, and red. This algorithm is a well-established turn-by-turn algorithm that directs traffic correctly. It's in order (it may not seem that way when you're sitting at a red light).

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Answer:

Explanation:

Here, we want to find the slope of the line that contains the given points

Mathematically, we can calculate the slope of a line as follows given two points on the line:

The values that have subscript 1 are for the first point while subscript 2 are for the second point

Thus, we have it that:

For the second one, we have it that:

Step-by-step explanation:

I hope this answer is helpful ):

Answer:

5.  -(6/5)

6. 1/5

7. I think 4/25 but i am not full sure

8. 2

9. -(5/8)

Step-by-step explanation:

Answer:

1) k = 3

2) k = 2

Explanation:

To find the scale factor from the smaller to the larger figure, we need to divide the length of the larger figure by the length of the smaller figure.

The figures are similar, so we will use corresponding sides. Then:

Therefore, the answers are:

1) k = 3

2) k = 2

Answer:

4/16 pieces are in 2/8, 5/8 pieces are in 10/16, 8/8 pieces are in 4/4

Step-by-step explanation:

multiply or divide both the numerator (top number) and the denominator (bottom number) by a number that will give you a common denominator

\(\frac{2*2}{8*2} =\frac{4}{16} \\\frac{10/2}{16/2} =\frac{5}{8} \\\frac{4*2}{4*2}=\frac{8}{8}\)

Answer:

\(-f(x)=2+5x^2\)

Step-by-step explanation:

For this, you have the negative sign in front of the \(f(x)\), so you apply it to the whole equation.

\(-f(x)=-(-2-5x^2)=2+5x^2\)

Answer:

(-2,-3)

Step-by-step explanation:

Well in the system,

x−5y=13

4x−3y=1

We need to find x or y in either equation.

Let's do x - 5y = 13 for x.

+5y to both sides

x = 5y + 13

Now we substitute 5y + 13 for y in 4x - 3y = 1.

4(5y + 13) - 3y = 1

20y + 52 - 3y = 1

17y + 52 = 1

-52 to both sides

17y = -51

Divide all by 17

y = -3

Now we can substitute -3 for y in 4x - 3y = 1.

4x - 3(-3) = 1

4x + 9 = 1

-9 to both sides

4x = -8

Divide 4 to both sides

x = -2

Thus,

the solution is (-2,-3).

Hope this helps :)

Answer:

Step-by-step explanation:

x - 5y = 13

4x - 3y = 1

Solve the equation for x

\(x - 5y = 13\)

Move '5y' to R.H.S and change it's sign

\(x = 13 + 5y\)

Substitute the given value of X into the equation

4x - 3y = 1

\(4(13 + 5y) - 3y = 1\)

Solve the equation for y

distribute 4 through the parentheses

\(52 + 20y - 3y = 1\)

Collect like terms

\(52 + 17y = 1\)

Move constant to R.H.S and change it's sign

\(17y = 1 - 52\)

Calculate

\(17y = - 51\)

Divide both sides of the equation by 17

\( \frac{17y}{17} = \frac{ - 51}{17} \)

Calculate

\(y = - 3\)

Now, substitute the given value of y into the equation

x = 13 + 5y

\(x = 13 + 5 \times ( - 3)\)

Solve the equation for x

Multiply the numbers

\( = 13 - 15\)

Calculate the difference

\( = - 2\)

The possible solution of the system is the ordered pair

( x , y )

( x , y ) = ( - 2 , - 3 )

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

Check if the given ordered pair is the solution of the system of equation

\( - 2 - 5 \times ( - 3) = 15\)

\(4 \times ( - 2) - 3 \times ( - 3) = 1\)

Simplify the equalities

\(13 = 13\)

\(1 = 1\)

Since all of the equalities are true, the ordered pair is the solution of the system

Hope this helps..

Best regards!!