Complete the table below treat each row has a different problem.
Important : the last row is sector area (a)

The probability that all marbles chosen are red is obtained using the hypergeometric distribution, which is presented during the answer.

The mass probability formula is presented as follows:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

The meaning of each parameter for this problem is given as follows:

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The solution of the system is the set of all points (x, y) that satisfy both equations, and the points in the solution set are (-1, 3) and (2, -2).

What is System of Equation?

A system of equations is a collection of one or more equations with several variables. The variable mappings that satisfy all component equations—that is, the places where all of these equations intersect—are the solutions of systems of equations.

To solve the system of equations graphically, we can plot each equation on the same set of axes.

Here is how to solve the system of equations:

y = -x² + 4x - 2

4x + 2y = 12

The points of intersection between the two lines are the solutions of the system of equations. We can see from the graph that there are two points of intersection, at approximately (-1, 3) and (2, -2).

Therefore, the solution of the system is the set of all points (x, y) that satisfy both equations, and the points in the solution set are (-1, 3) and (2, -2).

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The solution that will satisfy the linear inequality y ≥ x + 4 include the following:

2. (-1, 4).

4. (0, 4).

In order to determine which ordered pairs are valid and true solutions based on the given linear inequality, we would have to test the given ordered pairs by substituting their values into the linear inequality as follows;

For ordered pair (0, 0), we have:

y ≥ x + 4

0 ≥ 0 + 4

0 ≥ 4 (False).

For ordered pair (-1, 4), we have:

y ≥ x + 4

4 ≥ -1 + 4

4 ≥ 3 (True).

For ordered pair (2, 3), we have:

y ≥ x + 4

3 ≥ 2 + 4

3 ≥ 6 (False).

For ordered pair (0, 4), we have:

y ≥ x + 4

4 ≥ 0 + 4

4 ≥ 4 (True).

For ordered pair (-1, 4), we have:

y ≥ x + 4

0 ≥ -1 + 4

0 ≥ 3 (False).

In this exercise, we would use an online graphing calculator to plot the given system of inequalities 2x + y < 1 and 4x - 3y ≥ 12 as shown on the number line attached below.

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Note that the r-value of the above data is : -0.903 (Option A)

In mathematics, the r-value typically refers to the correlation coefficient, which measures the strength and direction of the linear relationship between two variables.

With regard to the above data:

A) Find the Sum of the X values: 4 +5+8+9+13 = 39

B) Find the Sum of the Y values: 23 +12 +10 +9 +2 = 56

C) Find the Sum of x^2: 4^2 + 5^2 + 8^2 + 9^2 +13^2 = 355

D) The sum of the Y^2's: 23^2 + 12^2 + 10^2 + 9^2 + 2^2 = 858

E) Sum of x *y's: 4*23 + 5*12 + 8*10 + 9*9 + 13*2 = 339

N = number of sets = 5

Numerator of r = (E - A*B/N) = 339-39*56/5 = 339 - 436.8 = -97.8

Denominator of r = SQRT(C-A^2/N) x SQRT(D-B^2/N) =

SQRT(355-39^2/5) x SQRT(858-56^2/5) =

SQRT(50.8) x SQRT(230.8) =

7.1274 x 15.1921 =

108.2803

r = -97.8 / 108.2803

r = -0.903

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No, you cannot stop at the step 3x = 126 degrees. The measure of angle JML is approximately 56.67 degrees

What is the measure of angle θ?

A radian is the length of an arc formed by an angle that, when shown as a central angle, equals the length of the circle's radius.

No, you cannot stop at the step 3x = 126 degrees.

To find the measure of angle JML, we need to solve for x and then use that value to find the measure of the angle.

We can start by using the fact that the angles in triangle JLM must add up to 180 degrees. We have:

m∠JLM + m∠JML + m∠LMJ = 180

Substituting the given values, we get:

4x + (2x + 18) + (3x - 12) = 180

Simplifying and combining like terms, we get:

9x + 6 = 180

Subtracting 6 from both sides, we get:

9x = 174

Dividing both sides by 9, we get:

x = 19.33...

Now that we have the value of x, we can use it to find the measure of angle JML. We have:

m∠JML = 2x + 18

Substituting x = 19.33..., we get:

m∠JML = 2(19.33...) + 18 = 56.67...

Therefore, the measure of ∠JML is approximately 56.67 degrees

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The required adult tickets and 104 child tickets, which gives a total revenue of $1820.

An amount that can fluctuate depending on the mathematical issue is referred to as a variable. The generic letters x, y, and z are frequently employed in mathematical expressions and equations. A variable, then, is a symbol denoting a number whose value is unknown. In this case, x + 5 = 10. "X" in this case is a variable.

Let x be the number of adult tickets sold and y be the number of child tickets sold.

We know that the total number of tickets sold is 220:

x + y = 220

We also know that the total revenue from ticket sales is $1820:

13x + 3y = 1820

We can use the first equation to solve for y in terms of x:

y = 220 - x

Substituting this into the second equation, we get:

13x + 3(220 - x) = 1820

Simplifying this equation:

10x + 660 = 1820

10x = 1160

x = 116

Therefore, the theater sold 116 adult tickets last night.

To check, we can substitute x = 116 into the equation for y:

y = 220 - x = 220 - 116 = 104

So, the theater sold 116 adult tickets and 104 child tickets, which gives a total revenue of $1820.

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Answer:

It is 90

Step-by-step explanation:

I never copy the answer please mark me

Answer:

See below

Step-by-step explanation:

Sum of interior angles in a triangle = 180°

∴∠A° + ∠B° + ∠C° = 180°

= 2x° + 4x° + 6x° = 180°

= 12x° = 180°

= x = [tex]\frac{180}{12}[/tex]

∴ x = 15

Substitute this value of x in Angle C:

= 6x°

= 6(15)°

= 90°

This means AC is perpendicular to BC. Also triangle ABC is a right-angled triangle

The proportion of the time that Mrs. Starnes finishes an easy sudoku puzzle in less than 3 minutes is approximately 0.0055, or 0.55%

We can use the normal distribution and the given mean and standard deviation to find the proportion of the time that Mrs. Starnes finishes an easy sudoku puzzle in less than 3 minutes.

First, we need to standardize the value of 3 minutes using the z-score formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

Substituting the given values, we get:

z = (3 - 5.3) / 0.9 ≈ -2.56

Next, we can use a standard normal distribution table or a calculator to find the proportion of the area under the standard normal distribution curve that corresponds to a z-score of -2.56. This proportion represents the proportion of the time that Mrs. Starnes finishes an easy sudoku puzzle in less than 3 minutes.

Using a standard normal distribution table, we can find that the area to the left of z = -2.56 is approximately 0.0055.

Therefore,

The proportion of the time that Mrs. Starnes finishes an easy sudoku puzzle in less than 3 minutes is approximately 0.0055, or 0.55%.

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Option (a) The quantity supplied rises by 165. To determine the change in the total supply of meals in your survey when the price increases from $8 per meal to $9 per meal, we need to compare the quantity of meals supplied at the $8 and $9 prices across all food trucks.

From the table, we can see that the quantity of meals supplied at the $8 price per meal is as follows:

Mario's Taco Stand: 140

Curbside Chargrilled Burgers: 210

Chuckin' Clouds BBQ: 175

Burrito Dan's: 240

La Jefa Cubanos: 150

What a Jrk Jamaican Food: 220

The total quantity supplied at $8 per meal is 1,135 meals.

At the $9 price per meal, the quantity of meals supplied is as follows:

Mario's Taco Stand: 160

Curbside Chargrilled Burgers: 240

Chuckin' Clouds BBQ: 200

Burrito Dan's: 260

La Jefa Cubanos: 190

What a Jrk Jamaican Food: 250

The total quantity supplied at $9 per meal is 1,300 meals.

The change in the total supply of meals is the difference between the total quantity supplied at $9 per meal and the total quantity supplied at $8 per meal, which is:

1,300 - 1,135 = 165

Therefore, the answer is (a) The quantity supplied rises by 165.

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Complete question is in the image

Rounding to the nearest tenth, the volume of the basketball is: V ≈ 381.7 cubic inches ≈ 381.8 cubic inches (rounded to the nearest tenth)

Volume is a measure of the amount of space occupied by an object or a substance. It is typically measured in cubic units such as cubic meters, cubic centimeters, cubic feet, or cubic inches.

For solid objects, volume refers to the amount of space the object occupies in three-dimensional space.

The diameter of a basketball is 9.2 inches, which means the radius is half of that, or:

r = 9.2 / 2 = 4.6 inches

The formula for the volume of a sphere is:

V = (4/3)πr³

Substituting the radius into the formula, we get:

V = (4/3)π(4.6)³

V ≈ 381.7 cubic inches

Therefore, Rounding to the nearest tenth, the volume of the basketball is: V ≈ 381.7 cubic inches ≈ 381.8 cubic inches (rounded to the nearest tenth)

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Answer:

Step-by-step explanation:

... good luck

The magazine will have 33320 subscribers at the end of 10 years.

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decline or exponential growth, and so forth.

Given that, a publishing industry report predicts that magazine

subscriptions will drop by 10% each year.

The problem thus represents an exponential decay problem.

The exponential decay is given as:

[tex]F = P (1 - r)^t[/tex]

Here, F is the future value.

P is the present amount = 98000.

r is the rate of decrease = 10% = 0.1

t is the time = 10 years.

Substituting the values we have:

[tex]F = 98000(1 - 0.1)^{10}\\[/tex]

F = 33320

Hence, the magazine will have 33320 subscribers at the end of 10 years.

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There are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

In this problem, we want to find the number of ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

Since every man must be diametrically opposite a woman, we can pair each man with one woman. There are 5 men and 9 women, so there are 5 pairs. We need to find the number of ways to seat these 5 pairs of people in a circle.

To do this, we can first seat one pair in any position. Then, we can seat the second pair anywhere but opposite the first pair. This gives us 11 positions for the second pair. Continuing in this way, we see that there are 11 * 6 * 5 * 4 * 3 = 7920 ways to seat the 5 pairs of people in a circle.

So, there are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

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Assuming 14 people, 5 men and 9 women, how many ways can they sit in a circle such that every man is diametrically opposite a woman?

Answer: 165 (look at the image for the solution)

Step-by-step explanation:

Answer:

x = 655

Step-by-step explanation:

find the pressure of x and y by using radical expressions and then solving it with the theory called x ^2+ y^2 = c^2

The exponential equation is y=2,642(2.5)ˣ. x represents the number of days.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

Given that a video was released to the public, it already had 2,642 views.

One day later, the number of views increased to 3,963.

The number of viewers after one day is ( 3,963 + 2,642 ) = 6,605

Assume that the exponential function y = a(b)ˣ represents the number of viewers. x represents the number of days.

Putting x = 0 and  y = 2,642 in y = a(b)ˣ:

2,642 = a(b)⁰

a = 2,642

Putting x = 1 and  y = 6,605 in y = a(b)ˣ:

6,605 = a(b)¹

Putting a = 2,642:

6,605 = 2,642(b)¹

b = 6,605/2,642

b = 2.5

Therefore, an exponential equation is y=2,642(2.5)ˣ.

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By using the concept of combinations, we have determined that there are 210 three-digit numbers that can be formed using the digits 0-6 without repeating any of them. Among them, there are 90 odd numbers and 120 numbers greater than 330.

Combinations are a fundamental concept in mathematics, particularly in the field of combinatorics, which deals with counting and arranging objects.

To solve this problem, we can use the concept of combinations, which is a way of counting the number of ways we can choose k items from a set of n items. In this case, we want to find the number of three-digit numbers we can form from the set {0, 1, 2, 3, 4, 5, 6}, without repeating any of the digits.

First, we can determine the number of ways we can choose the first digit. Since there are seven digits to choose from, we have 7 options for the first digit.

Next, we can determine the number of ways we can choose the second digit. Since we have already used one of the digits, we only have 6 options left for the second digit.

Finally, we can determine the number of ways we can choose the third digit. Since we have used two of the digits, we only have 5 options left for the third digit.

Therefore, the total number of three-digit numbers we can form is given by the product of the number of choices for each digit:

7 x 6 x 5 = 210

So there are 210 different three-digit numbers that can be formed using the digits 0, 1, 2, 3, 4, 5, and 6, without repeating any of the digits.

To find the number of odd numbers, we need to consider that the last digit must be either 1, 3, or 5, since these are the only odd digits in the set. We can choose the first two digits in the same way as before, and then choose one of the three odd digits for the last digit. Therefore, the number of odd three-digit numbers is:

6 x 5 x 3 = 90

To find the number of three-digit numbers greater than 330, we need to consider that the first digit must be either 3, 4, 5, or 6. We can choose the first digit in 4 ways, and then choose the remaining two digits as before. Therefore, the number of three-digit numbers greater than 330 is:

4 x 6 x 5 = 120

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The number of children and adults in swimming pool is 398 and 224.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form;

Ax + B = 0.

We are given that;

Number of people swimming=613

Price of children=$1.75

Price of adults= $2.25

Total= $1184.75

Let, number of children be x

Number of adults be y

Now, the equations will be

x+y=613....1

1.75x+2.25y=1184.75....2

On solving both the equations

X=389, y=224

Therefore, the solution of linear equation will be 389 and 224.

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The complete question is;

on a certain hot Summer's Day 613 people use the public swimming pool the daily prices are $1.75 for children $2.25 for adults the receipts for admission totaled $1184.75 how many children and how many adults when I am at the public for that day​

The most reasonable answer for left pocket money to Jesse after spending it on Monday, Tuesday and Wednesday is 1/8.

Let's assume that the amount of pocket money Jesse has is "x".

On Monday, he spends 1/2 of his pocket money, so he has 1/2 of his pocket money left:

Amount left after Monday = x - (1/2)x = (1/2)x

On Tuesday, he spends 2/3 of what is left, which is 2/3 of (1/2)x:

Amount left after Tuesday = (1/2)x - (2/3)(1/2)x = (1/6)x

On Wednesday, he spends 1/4 of what remains, which is 1/4 of (1/6)x:

Amount left after Wednesday = (1/6)x - (1/4)(1/6)x = (1/8)x

Therefore, the fraction of the pocket money he has left is:

Amount left / Original amount = (1/8)x / x = 1/8

So, the most reasonable answer is 1/8.

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____The given question is incorrect, the correct question is given below:

Jesse spends 1/2 of his pocket money on Monday. On Tuesday, he spends 2/3 of what is left. On Wednesday, he spends 1/4 of what remains. What fraction of the pocket money does he have left? Choose the most reasonable answer.

Answer:

~ generally is substituted by negation

Hence, option D (Even numbers are not divisible by 2) would be the correct answer.

The total cost of the fencing can be expressed as a function of x: C(x) = $24x.

Let's assume that the width of the soccer field is x feet. Then the length of the soccer field is 3x feet.

The east and west sides have a combined length of 3x feet, and the cost per foot of fencing is $6, so the total cost for the east and west sides is $6 * 3x = $18x.

The north and south sides have a combined length of 2x feet, and the cost per foot of fencing is $3, so the total cost for the north and south sides is $3 * 2x = $6x.

The total cost of the fencing is the sum of the cost of the east and west sides and the north and south sides: $18x + $6x = $24x.

So, the total cost of the fencing can be expressed as a function of x: C(x) = $24x.

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Answer:

112.13 square mm

Step-by-step explanation:

Decompose the composite figure into familiar shapes. One such decomposition is shown in the attached figure

There are four familiar shapes

A semicircle and 3 rectangles

The diameter of the semicircle = 6 mm and therefore its radius is 3mm

Area of the semicircle = 1/2 x area of circle = 1/2 x π x 3²
= 1/2 x 3.14 x 9
= 14.13 square mm

The rectangle below the semi circle has height 5 mm and width 10 mm
Area of this rectangle= 5 x 10 = 50 square mm

The rectangle at the bottom left has width = 6 mm and height = 7mm
Area of this rectangle = 6 x 7 = 42 square mm

The bottom right rectangle has width 2 mm and height 3 mm
Area of this rectangle = 2 x 3 = 6 square mm

Area of the three rectangles = 50 + 42 + 6 = 98 square mm

Total area of composite figure

= Area of 3 rectangles + Area of semicircle

= 98 + 14.13

= 112.13 square mm

The number of rounds that Kate has to run along the perimeter of town to complete  12 miles is 4 rounds.

What is the perimeter of a triangle?

Any two-dimensional figure's perimeter is determined by the space surrounding it. By summing the lengths of the sides, we can determine the perimeter of any closed shape. The perimeter of any polygon is equal to the sum of its side lengths. Considering a triangle, the sum of the three sides equals the perimeter.

Given the town is the shape of a triangle.

The distance covered after running one round around town is equal to the perimeter of the triangle.

The sides of the triangle are 0.7 miles, 1.4 miles and 0.9 miles.

Perimeter = 0.7+0.9+1.4 = 3 miles.

The distance covered in one round = 3 miles.

So the number of rounds required to complete 12 miles = 1/3 * 12 = 4 rounds.

Therefore the number of rounds that Kate has to run along the perimeter of town to complete  12 miles is 4 rounds.

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Answer:

Step-by-step explanation:

Sup dudes. I hear you need help... I don't know

The solution is given below in the attached diagram.

A histogram is an approximate representation of the distribution of numerical data. which is created in table form. The term was first introduced by Karl Pearson.

here, we have,

given that, The test scores of mrs Jackson 105 students are summarized in the table, now, we have to construct , and, label a frequency histogram of the data with an appropriate scale

To draw histogram, we first prepare the frequency distribution with boundary points, with central value of each class;

the required histogram is attached below.

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If the plane is descending at the rate of 3200 feet per minute , then equation to represent this situation is (a) y = 35600 - 3200x  .

The airplane is descending from 35,600 feet at a rate of 3200 feet per minute. which means that the altitude (y) is decreasing by 3200 feet per minute, so we can represent this situation using a linear equation of the form ⇒ y = mx + b ;

where m = rate of change (or slope) and b = initial value .

In this case, the rate of change is -3200 feet per minute (because the altitude is decreasing), and the initial value (y intercept) is 35,600 feet. So, we can write the equation as : y = -3200x + 35600

Therefore , the equation representing the situation is y = 35600 - 3200x  .

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The given question is incomplete , the complete question is

An airplane is descending from 35,600 feet at a rate of 3200 feet per minute. If y represents total feet and x represents minutes, write an equation to represent this situation.

(a) y = 35600 - 3200x

(b) y = 3200x + 35600

(c) y = -35600 - 3200x

(d) y = -35600x + 3200

The equivalent expression to 50(1 + 0.15) is (b) 50(1.15)

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

50(1 + 0.15)

When the expression in bracket is simplified,

We have the following representation

50(1.15)

The above expression is in option (b)

Hence, the equivalent expression is (b)

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The equivalent expression in expanded form of given function is -4x/4-4*3/4.

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We are given;

The expression of the function

=-1/4(-8x+12)

Now, to expand we take 4 common

=-1/4(-8x+12)

=-4/4(-1x+3)

=-4x/4-4*3/4

Therefore, the expression in expanded form will be -4x/4-4*3/4

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