Please explain the best you can. And please don’t answer if you don’t know how to do it. :)

Answer:

Step-by-step explanation:

You want the value of 'a' in a parallelogram with opposite sides marked (a+3) and (2-14). And you want the value of an unmarked angle in the same parallelogram with opposite angles marked (4b-56)° and (2b+4)°.

Opposite sides of a parallelogram are congruent, so we have ...

  XY = WZ

  (a +3) = (2a -14)

  17 = a . . . . . . . . . . add 14-a

Opposite angles of a parallelogram are congruent, so we have ...

  ∠Y = ∠W

  (4b -56)° = (2b +4)°

  2b = 60 . . . . . . . . . . . . add 56-2b

Then angle W is ...

  ∠W = (2b +4)° = (60 +4)° = 64°

Angle Z is the supplement of angle W, so its measure is ...

  ∠Z = 180° -64°

  ∠Z = 116°

__

Additional comment

Adjacent angles in a parallelogram are supplementary.

The life of cell batteries is normally distributed with a mean of 68.3 hours and a standard deviation of 18.4 hours. 93% of the batteries will last more than 41.15 hours.

A mean = 68.3 hours

A standard deviation(SD) = 18.4 hours

We have to determine 93% of the batteries will last more than how many hours.

P(x > x(1)) = 93%

P(x > x(1)) = 0.93

1 - P(x ≤ x(1)) = 0.93

Now solving

P(x ≤ x(1)) = 0.07

P(z ≤ (x(1) - mean)/SD) = 0.07

P(z ≤ (x(1) - 68.3)/18.4) = 0.07

P(z ≤ (x(1) - 68.3)/18.4) = 0.07

Using the z table

(x(1) - 68.3)/18.4 = -1.4758

Multiply by 18.4 on both side, we get

x(1) - 68.3 = -27.15472

Add 68.3 on both side, we get

x(1) = 41.14528

x(1) = 41.15 hours

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For these traditional cooking measurements, there are no specific definitions. The majority of sources, however, claim that a dash is roughly 1/8 of a teaspoon, a pinch is 1/16 of a teaspoon, and a smidgen is 1/32 of a teaspoon.

Now, According to the question:

For these traditional cooking measurements, there are no specific definitions. The majority of sources, however, claim that a dash is roughly 1/8 of a teaspoon, a pinch is 1/16 of a teaspoon, and a smidgen is 1/32 of a teaspoon.

One tablespoon or less of a soft food, like whipped cream or sour cream, is typically referred to as a "dollop."

Furthermore, a pinch is, as its name suggests, the quantity of an ingredient (such as salt or a dry herb) that you can hold between your thumb and fingers. Additionally, there is a "healthier-sized" pinch that involves your thumb, forefinger, and middle finger, known as a "three-finger pinch." It probably equals between a quarter and an eighth of a teaspoon in terms of volume.

The difference is one of distance...

100 yards = 300 feet

100 meters = 328.0839895 feet

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The observations of shoplifters in Pueblo, Colorado, characterized as "72 percent men and 28 percent women, with an average age of 15.4 years" constitutes the type of Analysis called as Descriptive Analysis.

The Descriptive analysis is a type of statistical analysis which involves the  summarizing and describing main features of a set of data. This type of analysis is used to provide a general picture of the data and to highlight patterns and relationships in the data.

the data "72 percent men and 28 percent women, with an average age of 15.4 years" describes the gender and age distribution of shoplifters in Pueblo, Colorado. The data provides information on the percentage of men and women who are shoplifters, and the average age of shoplifters in the area. This information can be used to describe the characteristics of shoplifters in Pueblo, Colorado.

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Two values of x that support this conclusion are x = 2 and x = -4. When x is equal to 2, the equation is satisfied: 2(2) + 3 = 2 - 1. When x is equal to -4, the equation is also satisfied: 2(-4) + 3 = -4 - 1.

Values are beliefs, principles, or qualities that are considered worthwhile or desirable. They are the fundamental beliefs that guide an individual’s behavior and choices. Values are important because they help people to make decisions and determine what is meaningful and important in life. Examples of values include honesty, fairness, respect, responsibility, compassion, and loyalty. Values can also include religious beliefs or spiritual values, as well as cultural values.

2x + 3 = x - 1

This equation has one solution. The solution is x = 2. This can be determined by solving for x by subtracting two from both sides, resulting in a value of 3x = 4. Dividing both sides by 3, we get x = 2.

Two values of x that support this conclusion are x = 2 and x = -4. When x is equal to 2, the equation is satisfied: 2(2) + 3 = 2 - 1. When x is equal to -4, the equation is also satisfied: 2(-4) + 3 = -4 - 1.

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Answer:

The cost of plain wrapping paper is $6 and cost of shiny wrapping paper is $9

Step-by-step explanation:

cost of plain wrapping paper  = x

cost of shiny wrapping paper = y

so the equation will be:-

5x + 3y = 57

11x + 3y = 93

by subtracting 3y from the equation we get :-

6x = 36

x = 6

5(6) + 3y = 57

30 +3y = 57

3y = 27

y = 9

hence, the cost of plain wrapping paper is $6 and cost of shiny wrapping paper is $9

The number of soldiers in the parade is given by the equation A = 360 soldiers

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the number of soldiers in the parade be represented as A

Now , the proportion will be

The number of soldiers in 22.5 m wide row = 25 soldiers

Now , the length of 1 row = 8.1 m

The length of 40 rows = 40 x 8.1 = 324 m

So , 25 / 22.5 = A / 324   be equation (1)

On simplifying the equation , we get

Multiply by 324 on both sides of the equation , we get

A = ( 25 x 324 ) / 22.5

A = 8100 / 22.5

A = 360 soldiers

Therefore , the value of A is 360 soldiers

Hence , the equation is A = 360 soldiers

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To find out how much money a couple should place in a time deposit to have ₱500,000 after 5 years, we can use the formula for compound interest: A = P * (1 + r/n)^(nt)

Where A is the amount after t years, P is the initial deposit (the amount being invested), r is the interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the number of years the money is invested.

Given the information, we have:

A = 500,000

r = 0.10 (10% interest rate)

n = 1 (interest is compounded annually)

t = 5

So, substituting into the formula:

500,000 = P * (1 + 0.10/1)^(1 * 5)

Solving for P:

P = 500,000 / (1 + 0.10/1)^(1 * 5)

P = 500,000 / 1.610526

P = ₱309,724.07

Therefore, the couple should place ₱309,724.07 in a time deposit to have ₱500,000 after 5 years at 10% interest compounded interest annually.

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Probability that a randomly chosen new student who joins the club after receiving the membership material is a woman is 0.659

A campus student club distributed material about membership to new students attending an orientation meeting. Of those receiving this material 40% were men and 60% were women. Subsequently, it was found that 7% of the men and 9% of the women who received this material joined the club.

a. Find the probability that a randomly chosen new

student who receives the membership material will join the club.

b. Find the probability that a randomly chosen new student who joins the club after receiving the membership material is a woman.

P men = 0.4

P women = 0.6

P join/men = 0.07

P join /women = 0.09

P join =P men* P join/men + P women*P join /women

P join = 0.4 * 0.07 + 0.6 *0.09

         = 0.028 + 0.054

         = 0.082

P(women/join)= 0.082/0.6(0.09)

                         ​= 41/27 ≈0.659

Probability that a randomly chosen new student who joins the club after receiving the membership material is a woman is 0.659 .

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The probability of getting exactly 2 heads if you flip a coin 3 times is 3/8.

Now, According to the question:

Probability : The number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .

"Information available from the question"

An experiment is to flip a fair coin three times.

We have to find the probability of getting exactly two heads.

Sample space: {HHH, HTH,THH,TTH, HHT, HTT,THT,TTT​}

Total number of possible outcomes=8

Probability of getting exactly two heads is:

P(A) = P(getting two heads)

P(A) = 3/8

Therefore, the probability of getting exactly 2 heads if you flip a coin 3 times is 3/8.

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Answer:

D. Baseball is more popular because 38 students preferred baseball, compared to 12 students who preferred soccer.

38 is the highest number of students who preferred basketball.

Step-by-step explanation:

The expected value of the square of the length of the hypotenuse of the triangle is 2/3.

The expected value of the square of the length of the hypotenuse of the triangle can be found using the following steps:

E(X^2) = ∫_0^1 x^2 * (1/1) dx = 1/3

E(Y^2) = ∫_0^1 y^2 * (1/1) dy = 1/3

  6. Therefore, E(Z) = 1/3 + 1/3 = 2/3.

So, the expected value of the square of the length of the hypotenuse of the triangle is 2/3.

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Using algebraic expression,  expressions that represent the amount of money, in dollars, from the salary budget that is left for the 5 other employees are 6x -0.25x and 0.75x.

The manager’s salary is 25% of the total budget, while the other five employees share the remaining 75%.

The total salary budget is represented by the variable x, so the manager’s salary is 0.25x.

The remaining five employees share 0.75x.

The expressions that represent the amount of money, in dollars, from the salary budget that is left for the five other employees are 0.75x and 6x-0.25x.

0.75x represents the total amount of money available to the five employees, while 6x-0.25x shows the amount of money available to the five employees after the manager’s salary has been subtracted.

The expressions -0.25x, 5x-25x, and 0.25x are not valid representations of the amount of money available to the five other employees, since they do not account for the manager’s salary.

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Answer: 150 square units

Step-by-step explanation: Hope this helps :)

Answer: 111.5

Step-by-step explanation:

The length of the molding that Mr. and Mrs. Garcia are to place is:

P = 38ft

 The perimeter is the sum of the sides of a plane figure, when they are straight, and when they are curved it is the sum of the path of those curves.

If we know that the Garcia family's roof is of the following dimensions:

8ft x 10ft, then evidently it is a rectangular ceiling, and the molding they will place will be around it so its length we determine as the perimeter of a rectangle:

Equation:

P = 2x + 2y

x = 8ft

y = 10ft

P = 2(8ft) + 2(10ft)

P = 38ft

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The correct answer is option (e). The sum of the lengths in inches of all of its interior diagonals is 40√2.

The surface area of a rectangular box can be expressed as 2lw + 2lh + 2wh, where l, w, and h are the length, width, and height of the box, respectively. Since the total surface area is 94 square inches and the sum of the lengths of all its edges is 48 inches, we can write an equation using these variables. Solving for l, w, and h, we find that the length, width, and height are 6, 7, and 4 inches, respectively.

The sum of the lengths of all interior diagonals can then be found using the Pythagorean theorem. The result is,

√(l^2 + w^2 + h^2) = √(6^2 + 7^2 + 4^2)

= √(36 + 49 + 16)

= √101

= 10√2.

The sum of the lengths of all interior diagonals is then equal to 2(10√2) = 40√2.

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For the probability of coin flip and die roll:

A probability is a number that represents the likelihood or chance that a specific event will occur.

To find the probability of getting heads and rolling a 5 = 1/2 x 1/6 = 1/12.

Probability of getting tails and rolling a 1 on the die = 1/2 x 1/6 = 1/12.

The chance of getting head and rolling any number = 1/2 x 1 = 1/2.

Probability of tails and rolling an odd number = 1/2 x 3/6 = 3/12 = 1/4.

and the probability of getting heads and rolling a number greater than 3 = 1/2 x 3/6 = 3/12 = 1/4.

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The maximum number of comparisons that a binary search function will make when searching for a value in a 2,000-element array is log₂(2000), which is approximately equal to 11.

The maximum number of comparisons that a binary search function will make when searching for a value in a 2,000-element array can be calculated using the logarithmic time complexity of the binary search.

In a binary search, the array is divided into two halves at each comparison, and the half that contains the target element is selected for the next comparison. This continues until the target element is found or it is determined that the element does not exist in the array.

The maximum number of comparisons can be calculated as the base-2 logarithm of the size of the array, rounded up to the nearest integer. In this case, the size of the array is 2,000 elements, so the maximum number of comparisons is:

log₂(2000) = 10.96...

= 11 comparisons

Therefore, the maximum number of comparisons that a binary search function will make when searching for a value in a 2,000-element array is 11.

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Answer:

9

Step-by-step explanation:

we could use a way of guess

like first our number bases could be

                            1,2,3

for 1 , 1+3+5+7+9=25

       2= 2+4+6+8+10+12=30

        3= 3+5+7+9+11=35

so we find answer it is 9

i hope that could help you

The solution to the system of equations is given as follows:

(s,-3s+20).

The meaning is that the number of adult tickets purchased was 20 subtracted by the triple of the number of student tickets purchased.

The system of equations for this problem is defined as follows:

Replacing the second equation into the first, the value of s is given as follows:

150s + 50(-3s + 20) = 1000

150s - 150s - 1000 = 1000

0s = 0.

This means that the system has an infinite number of solutions in the following format:

(s,-3s+20).

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Answer:

[tex]\frac{1}{12^{16} }[/tex]

Step-by-step explanation:

[tex](12^{-2}) ^{8}[/tex]

When a power is raise to a power, you multiply the exponents

[tex]12^{-16}[/tex]

To make the power positive, you put the power under 1.

[tex]\frac{1}{12^{16} }[/tex]

The perimeter of the rectangle is 3200cm.

The perimeter of a rectangle is the sum of the lengths of all four sides of the rectangle. It is calculated by adding the length and the width of the rectangle and then multiplying the sum by 2.

In this case, the rectangle has a length of 12 meters and a width of 400 centimeters. To find the perimeter in centimeters, we first need to convert the length in meters to centimeters.

As 1 meter is equal to 100 centimeters, we multiply 12 meters by 100 to get 1200 centimeters.

Now we add the width of 400 centimeters to this value and get 1200+400 = 1600.

And finally, we multiply this value by 2 to get the perimeter of the rectangle,

1600*2 = 3200.

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The number of solutions of each system of equations is given, respectively, as follows:

There are three possible number of solutions for each system of equations, and the cases are presented as follows:

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Deviance is a concept that refers to behaviors or actions that are outside of the norms and expectations of a particular society or group. In many ways, deviance clarifies moral boundaries and affirms norms because it helps define what is considered acceptable and unacceptable behavior within a particular community.

When individuals engage in deviant behavior, it draws attention to the fact that there are established norms and expectations for behavior within a society. For example, if someone steals from a store, it is considered deviant behavior because it goes against the norm of honesty and fair dealing. This deviant behavior highlights the fact that there is a norm of honesty and fair dealing in society, and helps to reinforce it. Similarly, when deviant behavior is punished, it sends a message to others in the community that the behavior is unacceptable and reinforces the norm against it. For example, if a person is punished for stealing from a store, it sends a message to others that this behavior is not tolerated and reinforces the norm of honesty and fair dealing.

In conclusion, deviance clarifies moral boundaries and affirms norms because it highlights and reinforces established expectations for behavior within a society. When individuals engage in deviant behavior, it brings attention to these norms and reinforces their importance.

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Answer:

Formula to find the Area of a triangle is A=1/2* bh

A=area

B=base

H=height

Part C.)

1/2b*12=108

multiply entire equation by the reciprocal of 1/2 (2/1) to clear the fraction, then ...divide 216 by 24, and get b=9

Your base is 9

Answer: -29, -23, -17, -11, -5, 1, 7, 13, 19, 25, 31, 37

The sum of the terms of the arithmetic progression is 48

Step-by-step explanation:

An arithmetic progression (AP) is a sequence of numbers such that the difference between any two consecutive terms is a constant. The common difference is denoted by d.

Given that the last term of the AP is 37 and there are 12 terms in total, we can use the formula for the nth term of an AP:

an = a1 + (n-1)d

Where a1 is the first term and n is the number of terms.

We know that the last term is 37, so we can substitute in the formula:

37 = a1 + (12-1)d

37 = a1 + 11d

To find the first term, we can subtract 11d from both sides:

a1 = 37 - 11d

The sum of an arithmetic progression is given by the formula:

Sn = n/2(2a1 + (n-1)d)

We know that the sum of the two middle terms is 41, and we can use this information to find the sum of the entire AP:

41 = (12/2)(2a1 + (12-1)d)

41 = 6(2a1 + 11d)

41 = 12a1 + 66d

Now we have two equations with two variables, we can use these equations to solve for the common difference d.

37 = a1 + 11d

41 = 12a1 + 66d

Substitute the first equation into the second equation:

41 = 12(37 - 11d) + 66d

41 = 444 - 132d + 66d

41 = 444 - 66d

Now we can solve for the common difference d:

-66d = -403

d = 6

Now that we know the common difference, we can use it to find the first term:

a1 = 37 - 11d

a1 = 37 - 11(6)

a1 = 37 - 66

a1 = -29

So the arithmetic progression is:

-29, -23, -17, -11, -5, 1, 7, 13, 19, 25, 31, 37

and the sum of the terms of the arithmetic progression is

Sn = 12/2(-29 + 37) = 12/2(8) = 48

The Arithmetic progression is -5, 1, 5, 9, 13, 17, 21, 25, 29, 33, 37 and  the sum of the terms of the arithmetic progression is 456.

Let the common difference of the arithmetic progression be d and the first term be a. Then, the 12th term is a + 11d = 37.

The two middle terms of an arithmetic progression with an odd number of terms are the 6th and 7th terms. Thus, the sum of the two middle terms is (a + 5d) + (a + 6d) = 41.

Solving the system of equations:

a + 11d = 37

a + 5d + a + 6d = 41

a = -5, d = 4

So, the arithmetic progression is -5, 1, 5, 9, 13, 17, 21, 25, 29, 33, 37.

To find the sum of the terms, we can use the formula for the sum of an arithmetic series, which is:  (n/2)(2a + (n-1)d)

(where n is the number of terms, a is the first term, and d is the common difference.)

So, the sum of the terms is (12/2)(2*-5 + (12-1)4) = 12(-5 + 43) = 12*38 = 456

Therefore, The arithmetic progression is -5, 1, 5, 9, 13, 17, 21, 25, 29, 33, 37 and  the sum of the terms of the arithmetic progression is 456.

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Answer: [tex]x \leq 12[/tex]

Step-by-step explanation:

[tex]3(x-3) \leq 27\\\\x-3 \leq 9\\\\x \leq 12[/tex]

Step-by-step explanation:

To solve the inequality 3(x - 3) ≤ 27, we can use the following steps:

Distribute the 3 on the left side of the inequality: 3x - 9 ≤ 27

Add 9 to both sides of the inequality: 3x ≤ 36

Divide both sides of the inequality by 3: x ≤ 12

Therefore, the solution to the inequality is x ≤ 12.

This solution is valid for any value of x less than or equal to 12, including 12.

Examples of values that satisfy this inequality are:

x = -6, -4, -2, 0, 2, 4, 6, 8, 10, 11, 12

x = -1, -0.5, 0.1, 4.5, 8.9, 12

Note that the solution set is a set of real numbers, that includes all x that are less or equal than 12.

There are 18 black disks in the bag given that the probability of selecting two disks of the same color is equal to the probability of selecting two disks of different colors.

Let's assume there are x black disks in the bag. So there are 36-x white disks.

The probability of selecting two black disks is (x/36)*((x-1)/35).

The probability of selecting two white disks is ((36-x)/36)*((35-x)/35).

And the probability of selecting one black and one white disk is (x/36)*((36-x)/35).

Since the probability of selecting two disks of the same color is equal to the probability of selecting two disks of different colors, we can set these probabilities equal to each other:

(x/36)((x-1)/35) = (36-x)/36)((35-x)/35)

Expanding both sides and simplifying, we get,

[tex]x^2[/tex] - x = 36x - [tex]x^2[/tex]

2[tex]x^2[/tex] = 36x

[tex]x^2[/tex] = 18x

x = 0 or x = 18

Since there must be at least some black disks in the bag, we can conclude that there are 18 black disks in the bag.

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Answer:

x = 40

Step-by-step explanation:

the adjacent angles of a parallelogram sum to 180° , then

4x + 22 + x - 42 = 180

5x - 20 = 180 ( add 20 to both sides )

5x = 200 ( divide both sides by 5 )

x = 40

Answer:

Step-by-step explanation: WE KNOW THAT,

THE SUM OF THE ADJACENT ANGLE OF THE PARALLELOGRAM IS 180.

SO 4X+22+X-42=180

5X-20=180

5X=200

X=40