you have 4 pairs of pants, 6 shirts, 3 pairs of socks, and 2 pairs of shoes. how many different outfit can you wear with wearing the same outfit twice?

Answer:

18

Step-by-step explanation:

1)The slope of the line is C) 13. 2)It would be inefficient since it is not the most optimal use of resources.the correct option is C. 3)The equilibrium price and quantity are D) $25 and 10 dozens of roses per day, respectively.

1) Y = 13X + 38, where Y is a function of X.

The slope of the line is 13.

Therefore, the correct option is C.

2) Kolin catches 25 fish and gathers 70 fruits. If we consider the combination, then it would be inefficient since it is not the most optimal use of resources.

Therefore, the correct option is C.

3) Using the given figure, we can see that the point where the demand and supply curves intersect is the equilibrium point. At this point, the equilibrium price is $25 and the equilibrium quantity is 10 dozens of roses per day.

Therefore, the correct option is D. The equilibrium price and quantity are $25 and 10 dozens of roses per day, respectively.

Note that this is the point of intersection between the demand and supply curves, which represents the market equilibrium.

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Answer:

18%

Step-by-step explanation:

15.00 divided by 100 = .15

.15 x 1.20 for the tax = .18

therefore 18%

Answer:

The tax increase is 8%

Step-by-step explanation:

16.20 - 15.00 = 1.2

1.2 / 15.00 = 0.08

0.08 x 100 = 8%

Have a wonderful day!

(Sorry if its incorrect.)

The number of hats Sara bought is 7.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Sarah went shopping at a store and bought some hats that cost $6 each and 2 necklaces that cost $12 each.

The number of hats will be calculated as,

12N + 2H = 66

12 x 2 + 2 H = 66

2H = 66 - 24

2H = 42

H = 42 / 2

H = 21

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Answer:

its in the shape of a tringle

Step-by-step explanation:

Answer:

See attached

Step-by-step explanation:

Definitely not a genius but I took a swing at it.  I just plotted the points; I didn't connect anything.

Answer:

Option C - 65°

Step-by-step explanation:

Since the side lengths of this triangle are equal this triangle is an isosceles:

Because the triangle is an isosceles the base angles are equal so

∠G = ∠F = 65°

Answer:

(4.5, 7)

Step-by-step explanation:

x = 1/2(x^1 + x^2)

x = 1/2(8 +1)

x = 1/2(9)

x = 4.5

y = 1/2(y^1 + y^2)

y = 1/2(10 + 4)

y = 1/2(14)

y = 7

(4.5, 7)

Starting with the least likely event, the chances of a politician fulfilling all his or her campaign promises can be quite low due to the complexities of politics and the potential for unforeseen circumstances.

Next, while full moons are relatively common, they occur approximately once a month, making it more likely than the politician's scenario but less likely than the other events.

Rolling a die and getting a 6 has a higher likelihood as there is a 1 in 6 chance of rolling a 6 on a fair six-sided die. The safe arrival of a person in New York City from Chicago is more probable than the previous events but still has an element of uncertainty regarding the fate of their luggage.

Randomly selecting an ace from a regular deck of 52 playing cards has a higher probability compared to the previous events, as there are four aces in a deck. The likelihood increases further when randomly selecting the queen of hearts, which is only one specific card out of the 52-card deck.

Finally, selecting a black card from a regular deck has the highest probability among the listed events since there are 26 black cards in the deck, including all the clubs and spades.

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The length of piece of wood now will be;

⇒ 0.72 meters

What is Addition?

A process of combining or adding two or more numbers is called addition.

Given that;

A carpenter bought a piece of wood that was 0.42 meters long.

And, She sawed 0.3 meters off the end.

Here,

A carpenter bought a piece of wood that was 0.42 meters long.

And, She sawed 0.3 meters off the end.

Hence, The length of piece of wood now = 0.42 + 0.3 meter

                                                                = 0.72 meters

Thus, The length of piece of wood now = 0.72 meters

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The probability of the spin of wheel represents neither of the spins land on bankrupt is equal to 11/12.

As given in the question,

Total number of equal size segments spin wheel is divided into are 24

Total chances to get a spin land = 24

Number of segments labeled as bankrupt = 2

Probability of the spin to land on bankrupt 'P ( B)'

= (Number of favourable outcomes )/ (Total number of outcomes)

= 2 / 24

= 1 / 12

Probability of neither of the spins will land on bankrupt 'P ( B' ) '

= 1 - P(B)

= 1 - ( 1 / 12 )

= ( 12 - 1 ) / 12

= 11 / 12

Therefore, the probability of the neither of the spin will land on the labeled is equal to 11/ 12.

The above question is incomplete , the complete question is:

Contestants on a game show spin a wheel with 24 equally-sized segments. Most of those segments show different prize amounts but 2 of them are labeled 'bankrupt'. Suppose that a contestant is going to spin the wheel twice in a row and the outcome of one spin doesn't affect the outcome of future sprints - what is the probability that neither of the spins land on 'bankrupt'?

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Starting from:

Let's check the first two equations. For this, we want to put "2x" alone in the left side. So let's move "-5" to the other side by adding 5 in both sides:

So,

2x = 10 -> incorrect.

2x = 20 -> correct.

To check the thirs one, let's rewrite it and apply the distributive property on the parenthesis:

We can see that the right side is the same, but the left side is not, so this is not the same and won't have the same solution.

So,

2(x-5) = 15 -> incorrect.

To check the fourth , we start, again from our equation, we can pass the "1% to the right side:

We can see that it is equivalent to the fourth equation, so it will give the same solution.

So,

2x - 20 = 0 -> correct.

For the fifth, we can see that each term is double the term of the 2x - 5 = 15, so if we divide both sides by 2, we will get the same equation:

Since the equations are equivalent, they have the same solution.

So,

4x - 10 = 30 -> correct.

The last one has the sides switched, so let's start by switching sides:

Right side is the same, but the left side is not, because it has inverted sign:

So, this is not equivalent.

So,

15 = 5 - 2x -> incorrect.

So, from the presented equations, the only that have the same solution as 2x - 5 = 15 are:

2x = 20

2x - 20 = 0

4x - 10 = 30

Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.

The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.

The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):

Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.

Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.

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Answer:

3,250

Step-by-step explanation:

Let's go from left to right, using multiple of 12 times a power of 10 in the process.

What is the closest multiple of 12,000 (12 * 10^3) to 39,000 without going over? That's 3 (36,000). That's the thousands digit in this answer.

12,000 * 3 = 36000

39000 - 36000 = 3000

What's the closest multiple of 1,200 (12 * 10^2) to 3,000 without going over? That's 2 (2,400). That's the hundreds digit.

1,200 * 2 = 2,400

3,000 - 2,400 = 600

What is the multiple of 120 (12 * 10) closest to 600 without going over? That's 5 (600, it's even!). That's the tens digit. Since it goes evenly, 0 is the ones digit.

120 * 5 = 600

600 - 600 = 0.

The answer to 39,000 over 12 is 3,250.

The function f(x) = -x + 2cos(x), 0 ≤ x ≤ 2π, has a relative maximum at approximately (2.356, 1.585), points of inflection at approximately (0.785, 0.785) and (3.927, -3.927), and no asymptotes.

To analyze and graph the function f(x) = -x + 2cos(x), 0 ≤ x ≤ 2π and identify any relative extrema, points of inflection, and asymptotes, we can use a computer algebra system or a graphing calculator. Here are the results:

Relative minimum (x, y):

DNE

Relative maximum (x, y):

(x, y) ≈ (2.356, 1.585) (approximately)

Points of inflection (x, y) (smaller x-value):

(x, y) ≈ (0.785, 0.785) (approximately)

Points of inflection (x, y) (larger x-value):

(x, y) ≈ (3.927, -3.927) (approximately)

Asymptotes:

There are no asymptotes for the given function.

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The two numbers are 6.8 and 10.8. Thus the product of the two numbers will be 73.44.

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

Let the two numbers be 'x' and 'y', then the equations are given as,

x - y = 4                                  ...1

(x + y) + x/2 = 23

3x + 2y = 46                            ...2

From  equations 1 and 2, then we have

3(4 + y) + 2y = 46

12 + 3y + 2y = 46

5y = 34

y = 6.8

The value of 'x' is calculated as,

x - 6.8 = 4

x = 10.8

The product of two numbers is calculated as,

xy = 6.8 × 10.8

xy = 73.44

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Answer:

Hey man I have the same Problem too for my class but I don’t know what the answer is eather so I’m going with b

Step-by-step explanation:

Exploring generations of similar figures If we start with any polygonal shape (such as a square, triangle, or trapezoid), we can create another shape that is similar to the first by making it a fixed ratio larger in size. Let us begin with squares, and then proceed to triangles and trapezoids. Therefore, we must create a square that is twice as large as the first square.

Since the area of a square is proportional to the square of its dimensions, we must use four squares that are 1/4 the size of the first square to create the second-generation square. Second Generation: Four squares that are 1/4 the size of the first square. To create the third generation, we must enlarge the square by a factor of 2 again. Therefore, we must create a square that is twice as large as the second-generation square. Since the area of a square is proportional to the square of its dimensions, we must use sixteen squares that are 1/16 the size of the first square to create the third-generation square.

Third Generation: Sixteen squares that are 1/16 the size of the first square. To create the fourth generation, we must enlarge the square by a factor of 2 again. Therefore, we must create a square that is twice as large as the third-generation square. Since the area of a square is proportional to the square of its dimensions, we must use sixty-four squares that are 1/64 the size of the first square to create the fourth-generation square. Fourth Generation: Sixty-four squares that are 1/64 the size of the first square. To create the fifth generation, we must enlarge the square by a factor of 2 again. Therefore, we must create a square that is twice as large as the fourth-generation square. Since the area of a square is proportional to the square of its dimensions, we must use two hundred fifty-six squares that are 1/256 the size of the first square to create the fifth-generation square. Fifth Generation: Two hundred fifty-six squares that are 1/256 the size of the first square. In general, if we denote the number of squares used to create the nth generation by Sn, we can write: S1 = 1 S2 = 4 S3 = 16 S4 = 64 S5 = 256  In general, we see that the number of squares used to create the nth generation is given by the formula: Sn = 4n-1. Explanation for the pattern Third Generation: Nine triangles that are 1/9 the size of the first triangle. To create the fourth generation, we must enlarge the triangle by a factor of 2 again. Therefore, we must create a triangle that is twice as large as the third-generation triangle. Since the area of a triangle is proportional to the square of its dimensions, we must use sixteen triangles that are 1/16 the size of the first triangle to create the fourth-generation triangle. Fourth Generation: Sixteen triangles that are 1/16 the size of the first triangle. To create the fifth generation, we must enlarge the triangle by a factor of 2 again. Therefore, we must create a triangle that is twice as large as the fourth-generation triangle. Since the area of a triangle is proportional to the square of its dimensions, we must use twenty-five triangles that are 1/25 the size of the first triangle to create the fifth-generation triangle. Therefore, we must create a trapezoid that is twice as large as the fourth-generation trapezoid. Since the area of a trapezoid is proportional to the square of its dimensions, we must use twenty-five trapezoids that are 1/25 the size of the first trapezoid to create the fifth-generation trapezoid. Fifth Generation: Twenty-five trapezoids that are 1/25 the size of the first trapezoid. In general, if we denote the number of trapezoids used to create the nth generation by Pn, we can write: P1 = 1 P2 = 4 P3 = 9 P4 = 16 P5 = 25 In general, we see that the number of trapezoids used to create the nth generation is given by the formula: Pn = n2.

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It can be proven that the area of AECF is equal to 1/2 the area of ABCD, because the adding the areas of △AEC and △AFC, gives us the area of AECF.

With E and F being midpoints of the sides AB and AD of parallelogram ABCD, we know that AE = 1 / 2 AB and A F = 1 / 2 AD. We can also see that area of △ AEC is 1 / 2 the area of △ ABC because they share the same height and their bases are in the same ratio ( AE = 1 / 2 AB).

We also see that the area of △ A F C is 1/2 the area of △ ADC because they share the same height  and their bases are in the same ratio ( A F = 1 / 2 AD).

What this proves is that because both △ AEC and △ A F C are half the areas of △ ABC and △ ADC respectively, the area of AECF is equal to 1/2 the area of ABCD.

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Answer:

Jasmine is correct

Step-by-step explanation:

The reason why Jasmine is correct is because, for all whole numbers, there must be a common factor of 1.

So since 1 is a factor of all whole numbers, it means that all numbers have a factor in common which is 1

We can thus conclude that all whole numbers( integers) must have at least one common factor which is 1

The person can get 3 fives, 2 sixes, and 1 two in 336 ways.

To find the number of ways to roll 3 fives, 2 sixes, and 1 two in 6 rolls of a standard six-sided die, we can use the formula for combinations with repetition:

\(C(n + k - 1, k) = C(6 + 3 - 1, 3) * C(3 + 2 - 1, 2) * C(1 + 1 - 1, 1)\)

where n is the number of possible outcomes (in this case, 6), k is the number of choices to make (in this case, 3 for fives, 2 for sixes, and 1 for twos), and C(n + k - 1, k) represents the number of combinations with repetition.

Using this formula, we can calculate:

\(C(8, 3) * C(4, 2) * C(1, 1) = 56 * 6 * 1 = 336\)

Therefore, there are 336 ways to roll 3 fives, 2 sixes, and 1 two in 6 rolls of a standard six-sided die.

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4.727273

Step-by-step explanation:

The probability of event A is 0.35.

To find Pr(A), we can use the formula:

Pr(A) = Pr(A∩B) + Pr(C∩A') + Pr(B'∩C'∩A)

where A', B', and C' represent the complements of events A, B, and C, respectively.

We know that Pr(B) = 0.55, so Pr(B') = 1 - Pr(B) = 0.45.

Also, since Pr(C∩B) = 0, we have Pr(B'∩C') = 1 - (Pr(B) + Pr(C) - Pr(A∩B) - Pr(C∩A)) = 1 - (0.55 + 0.1 - 0.31 - 0) = 0.04.

Plugging in the given values, we get:

Pr(A) = 0.31 + Pr(C∩A') + 0.04

Since Pr(C∩A) = 0, we can simplify this expression as:

Pr(A) = 0.31 + Pr(C'∩A)

We also know that the sum of probabilities in any sample space is equal to 1. In other words:

Pr(A) + Pr(B) + Pr(C) = 1

Substituting the given values, we get:

Pr(A) + 0.55 + 0.1 = 1

Pr(A) = 0.35

Therefore, the probability of event A is 0.35.

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Answer:

what are you asking the total or what

a= 34 degrees

b= 28 degrees

c= 62 degrees

Step-by-step explanation:

First you know that b is 1/2 of 56 degrees or 28.

The triangle with the a in it is isoceles because the two sides are both radii.

In the triangle the top angle = 112 because it is a centeral angle to the 112 arc.

Angle a and opposite to a are equal and then have to be 34 degrees to equal 180.

We know two arc lengths are 112 and 56 and the one with angle a has to be 34x2 or 68.

a whole circle equals 360.

360-56-68-112 = 124

Angle c = 1/2 of 124, or 62 degrees

The standard deviation of 0.00085 and the mean of 0.375 can be used to determine the probability of the steel pins being undersized or oversize using the normal distribution formula.

According to the given question, it is clear that there are two factors, which are the required dimensions of the shafts, and the sample size of 200.The minimum diameter is 25.470 mm, and the tolerance is ±0.030. Therefore, the upper and lower limits are given below:

Upper limit = 25.530 mm

Lower limit = 25.470 mm

So, the difference between the upper and lower limits is (25.530 - 25.470) = 0.060 mm.

Therefore, the half of the tolerance is (0.030 / 2) = 0.015 mm.

Therefore, the standard deviation (s) can be determined by the following formula:s = 0.015 / 1.96 (since the sample size is 200) = 0.00192

The tolerance of the steel pins is ±0.003, and the diameter of the pins is 0.375.

There are two factors in this problem as well, which are the undersize and oversize steel pins.

The probability of a steel pin being undersized can be determined by the following formula:

P(x < 0.372) = P(z < (0.372 - 0.375) / s) where s is the standard deviation of the steel pins.

The probability of a steel pin being oversize can be determined by the following formula:

P(x > 0.378) = P(z > (0.378 - 0.375) / s)

The probabilities of undersized and oversize steel pins are equal. Therefore, the probabilities can be added and equated to 0.2 (since there are 4 undersize and 6 oversize steel pins out of 150) and solved for s.

Therefore, the standard deviation (s) is calculated to be 0.00085 and the mean is calculated to be 0.375.

In conclusion, the standard deviation of 0.00085 and the mean of 0.375 can be used to determine the probability of the steel pins being undersized or oversize using the normal distribution formula.

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The number of possible combinations is an illustration of principle of counting

There are 15 possible pairs of possible combinations

From the question, we understand that the first digit is 6, 8 or 9.

This means that the new table would not have entries that begin with 5 or 7.

The table is then represented as:

      6       8         9

5    65     85      95

6    66     86      96

7     67     87      97

8    68     88      98

9    69     89      99

Count the number of entries

Entries = 15

Hence, there are 15 possible pairs of possible combinations

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The length of the hypotenuse is 5.426 meter

Let the two shorter sides of the right angles triangle be denoted as x meters.

The formula for the area of right triangle is given as,

                     A = ab/2

  Where, a and b are the length of the shorter sides of the triangle

Also we have been given the area of the triangle which is 7.36 sq. meter

Thus ,    A = 7.36

             x^2/2 = 7.36

              x^2 = 14.72

                x = 3.84

Now according to the Pythagoras theorem,

   H = √P^2 + B^2

Where,  H = hypotenuse

               P = perpendicular

              B = base

Now putting the required values we get

    H = √x^2 + x^2

        = √2x^2

        = x√2

       = 5.426 meter

Hence the length of the hypotenuse is 5.426 meter

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A key requirement for the process of testing hypotheses in the scientific method is experimentation. A hypothesis is an idea or explanation for a phenomenon that is grounded in existing knowledge or observations, and the scientific method involves testing those hypotheses through experimentation.

The process of testing hypotheses requires the development of a testable hypothesis, the design of experiments to test the hypothesis, and the collection and analysis of data from those experiments to evaluate the hypothesis. The experiments must be designed carefully, with appropriate controls and variables to ensure that the results are reliable and valid. Scientists also need to communicate their findings to the scientific community, which involves publishing their results in scientific journals and presenting their work at conferences.

This helps to ensure that other scientists can replicate their experiments and validate their findings, which is a critical part of the scientific process. Ultimately, the process of testing hypotheses is essential for advancing scientific knowledge and understanding how the world works.

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The volume of the gas approximately directly proportional to its number of moles of gas when both temperature and pressure are constant.

V∝ n at constant P and T

V = constant × (n)

Vn = constant

This can be mathematically stated as follows: As before, we can anticipate what will change to the volume of the a sample of gas as we adjust the number of moles using Avogadro's law.

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