the absolute value of -7-3
negative 7 minus three

Since there is a fixed number of trials and the trials are independent, it is appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 4 times.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Thus, the binomial distribution is appropriate.

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The solution is,

* The company’s degree of operating leverage: 1.38;

* The impact on net operating income of a 22% increase in sales: it will increase by 30.4%;

* New contribution format income statement:

                                              Engberg Company

                            Contribution format income statement

                                     Amount                        Percentage of sales

Sales                             $176,900                              100%

Variable expenses            70,760                               40%

Contribution margin         106,140                               60%

Fixed expenses                 24,000

Net operating income        82,140      

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

* The company’s degree of operating leverage = Contribution / profit = 87,000/63,000 = 1.38

* The impact on net operating income of a 22% increase in sales is calculated as: Degree of operating leverage x % changes in sales revenue = 1.38 x 22% = 30.4%.

* new contribution format income statement is shown in the answer part.

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Answer:

3%

Step-by-step explanation:

we divide 10.80 by 360

10.80/360

0.03

Multiply by 100 for percent

3%

Hopes this helps please mark brainliest

Answer: 100

Step-by-step explanation:

Answer:

336 units²

Step-by-step explanation:

Consider the figure as two triangles (one on top and one on bottom, divided by the line you drew), find the area of each triangle, and then add them together to find the total area of the figure.

Note that the formula for the area of a triangle is: 0.5*base*height.

Area of top triangle = 0.5*24*10=120 units²

Area of bottom triangle = 0.5*24*18 = 216units²

Therefore the total area of the figure = 120 +216 = 336 units²

Answer:

stacy 30 and naomi 18

Step-by-step explanation:

Using the pattern, n can represent the the increase of dots according to step.

In the given question we have to find what values make sense for n in this situation.

n is representing the number.

As we can see that there is a pattern given.

In the step 1 have 1 dot, in step 2 have 3 dots, in step 3 have 6 dots and in step 4 have 10 dots.

So if we see the pattern then according to number of step the dots increasing accordingly.

As In step 1 have 1 dot, in step 2, 2 dots increase, in step 3, 3 dots increase and in step 4, 4 dots increase.

So, n can represent the the increase of dots according to step.

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The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

x=5

Step-by-step explanation:

k(x)=6x–12

18=6x–12

18+12=6x

30=6x

30/6=6x/6

x=5

i think it is clear answer.

Using the combination formula, it is found that:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula, involving factorials. It is used when the order in which the elements are chosen does not matter.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In the context of this problem, we have that seven tablets are chosen from a set of 28 tablets, hence the number of selections that can be made is given by:

\(C_{28,7} = \frac{28!}{7!21!} = 1,184,040\)

For two defective tablets, the selections are given as follows:

Hence the number of selections is calculated as follows:

\(C_{23,5}C_{5,2} = \frac{23!}{5!18!} \times \frac{5!}{2!3!} = 336,490\)

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Answer:

just see how many times 3 goes into 80 which is 26. so then that leaves you with 5 and 3 goes into 5 only 1 time so the answer is 26 and 2

Answer: y=80x

Step-by-step explanation:

It should be 80x ....try that

a is adjacent, b is opposite, and c is the hypotenuse that correctly describes the locations of the sides in relation to Y.Option D is correct,

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

The complete question is

"Given right triangle XYZ, which correctly describes the locations of the sides in relation to Y?

a is opposite, b is adjacent, c is the hypotenuse

a is the hypotenuse, b is opposite, c is adjacent

a is adjacent, b is the hypotenuse, c is opposite

a is adjacent, bis opposite, c is the hypotenuse"

Refer to the attached file for a clear understanding.

The positions of the sides in regard to Y are described by the terms and are adjacent, b is opposite, and c is the hypotenuse.

Hence the correct answer is D.

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An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

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Answer:100

Step-by-step explanation:

Because it's obtuse and it's not 95

A counterexample is an example that shows that a statement is false.

The counterexample of this statement is a 100 angle

The given statement can be split as:

The above statements mean that, all obtuse angle measure 95 degrees.

However, the actual definition of obtuse angles implies that, obtuse angles are between 90 degrees and 180 degrees (exclusive)

This means that a 100 angle is an obtuse angle

Hence, a 100 angle is a counterexample of the given statement

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Answer:

16:1

Step-by-step explanation:

Since there are 85 total people and 80 are students that means 5 are chaperones.(85-5) Therefore the ratio of students to chaperones is 80:5 or simplified 16:1.

Answer:

-28

Step-by-step explanation:

20x+12y-28=20x+12y+[?

subtract like term so 20x-20x and 12y-12y

therefore -28 =[?

Answer:

Let's reread the part of the question carefully.

{one more} {than one third the number of dolls than Sally has}

      ↥                                                 ↥                          

      1                                                s/3

This means that Anne has s/3 + 1 doll, which is 9 dolls.

=> s/3 + 1 = 9

=> Sally/3 + 1 = Anne

Hence, the equation that represents the word problem is S/3 + 1 = A.

Step-by-step explanation:

Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)

Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).

The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Answer:

We need to add 400 ml of pure water to obtain the solution at 55%

Step-by-step explanation:

Concentration

The concentration of a solution measures the amount of solute that has been dissolved in a given amount of solution. The question states the alcohol is the solute and water is the solvent to produce the mix or solution.

The concentration can be calculated with the formula:

\(\displaystyle c=\frac{solute}{solute+solvent}*100\%\)

Originally, the mixture was 95% concentrated.

Substituting in the formula:

\(\displaystyle 95\%=\frac{solute}{solute+solvent}*100\%\)

We know there were 550 ml of solution (solute+solvent), thus

\(solution*0.95=solute=522.5\ ml\)

Now we know there were 522.5 ml of alcohol.

We now need to add x ml of water to have a 55% concentrated solution. Recall that water is solvent, the solute keeps its original value, thus:

\(\displaystyle 55\%=\frac{solute}{550+x}*100\%\)

Operating:

\(0.55(550+x)=522.5\)

Dividing by 0.55

\(550+x=950\)

Thus \(x=950-550=400\)

We need to add 400 ml of pure water to obtain the solution at 55%

Answer:

X=10

Step-by-step explanation:

X-7=2x-17 (both are equal to each other)

Plug in 10 into x and you'll get equivalent expressions.

10-3= 20-17

3=3

correct :)

Solution:

We know that the formula to write the equation of a circle is (x – h)² + (y – k)² = r², where h is the x coordinate, k is the y-coordinate, r is the radius of circle, and the center of circle is (-6,2).

Finding the radius of the circle.

Creating the equation:

The equation is (x + 6)² + (y – 2)² = 5².

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Answer:

I believe that it would be A+C+S but is there more to the question?

Step-by-step explanation:

omg

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

6(6)-(-3)

36+3

Answer:

x = 9

Step-by-step explanation:

To solve the equation 2x - 7 + 3x = 4x + 2 for x, you can follow these steps:

Combine like terms on both sides of the equation. Add the x terms together and move the constant terms to one side of the equation:

2x + 3x - 4x = 2 + 7

Simplifying the left side: x = 9

Simplify the right side of the equation:

x = 9

Therefore, the solution to the equation is x = 9.

Answer:

y = 1/4x - 8

Step-by-step explanation:

So we do not have the capabilities of graphing but I will help you find the equation.

Slope intercept form: y = mx + b

b = y intercept

m = slope

Put your equation together.

y = 1/4x - 8

The smallest number that will make it divisible by 11 is n = 2 and the number is A = 7,01,69,302

Given data ,

Let the missing number be represented as n

Now , the value of the original number is A = 7,01,69,30*​

where * represents = n

To make a number divisible by 11, the difference between the sum of the digits in the odd-numbered positions and the sum of the digits in the even-numbered positions must be a multiple of 11.

On simplifying the equation , we get

To make the difference between the sums a multiple of 11, we need to add the smallest digit to the end. The smallest digit is 8

Hence , the number that is divisible by 11 is 7,01,69,302

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