In a perfectly symmetrical distribution:
a. the range equals the interquartile range.
b. the interquartile range equals the mean.
c. the median equals the mean.
d. the variance equals the standard deviation.

The prime factorization of 56 is the process of breaking 56 down into its prime factors. The prime factorization of 56 is 8 x 7, 2 x 2 x 2 x 7, or 2^3 x 7^1.

One way to calculate the prime factorization of 56 is to use a factor tree. To begin, find two numbers that multiply together to equal 56. The two factors that multiply together to equal 56 are 8 and 7. Since 8 and 7 are both prime numbers, they can be written as the prime factors of 56: 56 = 8 x 7.In mathematical terms, the prime factorization of 56 can be expressed as 56 = 2 x 2 x 2 x 7, where 2 is multiplied by itself three times and then multiplied by 7. This is because 56 can also be written as 2 x 2 x 2 x 7, which is the same as 8 x 7.The prime factorization of 56 can also be expressed as the product of the prime exponents: 56 = 2^3 x 7^1. Here, 2 is raised to the third power, and 7 is raised to the first power. This expression is equivalent to 8 x 7.In summary, the prime factorization of 56 is 8 x 7, 2 x 2 x 2 x 7, or 2^3 x 7^1.

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The residual value of Sally's leased car is 75%.

So, the answer is d. 75%.

To find the residual value of Sally's leased car, we can divide the value claimed by the leasing company by the original MSRP and multiply by 100 to express the answer as a percentage.

MSRP stands for Manufacturer's Suggested Retail Price. It is the price recommended by the manufacturer of a product for its retail sale.

Residual value refers to the estimated value of an asset at the end of its lease or at a specified future date. It is used in the context of lease financing or depreciation calculations and is usually expressed as a percentage of the original value of the asset. In the context of a car lease, the residual value refers to the estimated value of the car at the end of the lease term.

The residual value is:

= $28,500 / $38,000 * 100

= 75%

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Answer:

cost of television + cost of DvD =1140

cost of television =3×cost of DVD

3×cost of DVD+cost of DVD =1140

4×cost of DVD =1140

cost of DVD =285$

The fraction of the box she puts in each bowl is, 1/10

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

To find the fraction of the box that Evangeline puts in each bowl, we need to divide the total amount of nuts in the box by the number of bowls.

The amount of nuts she has is 3/5 of a box.

To find the amount of nuts in each bowl, we need to divide 3/5 by 6:

(3/5) ÷ 6

To divide by a fraction, we can multiply by its reciprocal:

= (3/5) ÷ (6/1)

= (3/5) x (1/6)

Multiplying across, we get:

= (3/5) x (1/6)

= 3/30

= 1/10

Therefore, Evangeline puts 1/10 of the box in each bowl.

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The complete question:

Evangeline has 3/5 of a box of nuts. She uses it to fill 6 bowls. What fraction of the box does she put in each bowl.

The t statistic table is the t-test table is used to evaluate proportions combined with z-scores.

In Statistics, a t-test, can be expressed similarly as a statistical hypothesis test where the test statistic maintains a student’s t-distribution, if the null hypothesis is set. Hence, we know we can use the t-test table here.

The t-test table is used to evaluate proportions combined with z-scores. This table is used to find the ratio for t-statistics. The t-distribution table displays the probability of t-values from a given value. The acquired probability is the t-curve area between the t-distribution ordinates, i.e., the given value and infinity.

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Answer:

Step-by-step explanation: umm i'm a middle schooler so i tried i'm sorry.

Answer:

Step-by-step explanation:

C=[tex]2\pi R=\pi d[/tex]

if [tex]\pi = 3.14[/tex]

c=3.14*7=21.98

Answer:

10 minutes

Step-by-step explanation:

21/6 will give us how much hot dogs in 1 minute

You then get 3.5 hot dogs per minute.

For 35 hot dogs do 35/3.5 which gives us the amount of time it wil take for Mika to eat 35 hot dogs

Answer:

Step-by-step explanation:

A contrapositive is a logical equivalent of the original statement that has the opposite direction and negated conclusion. It can be proven by using the following steps:

Start with the original statement in the form of "If P, then Q".

Negate both the hypothesis (P) and the conclusion (Q) of the original statement.

Conjoin the negated hypothesis and the negated conclusion to form a new statement.

Show that the contrapositive is logically equivalent to the original statement, meaning that it has the same truth value as the original statement for all possible cases.

For example, consider the statement: "If it rains, the roads will be wet." The contrapositive of this statement is "If the roads are not wet, it did not rain." To prove the contrapositive, we can use the following steps:

Start with the original statement "If it rains, the roads will be wet."

Negate both the hypothesis and the conclusion: "It does not rain" and "The roads are not wet".

Conjoin the negated hypothesis and the negated conclusion: "It does not rain and the roads are not wet."

Show that the contrapositive is logically equivalent to the original statement by considering all possible cases:

If it rains, the roads will be wet (as stated in the original statement), and the contrapositive "It does not rain and the roads are not wet" is false.

If it does not rain, the roads will not be wet (as stated in the contrapositive), and the original statement "If it rains, the roads will be wet" is false.

This shows that the contrapositive is logically equivalent to the original statement, and we can use it to draw the same conclusion with a different proof.

Learning math can be a challenging task, but with persistence, hard work, and effective study strategies, it is definitely possible to improve your math skills.

Start with the basics: Make sure you have a good foundation in basic math concepts before moving on to more advanced topics. Practice basic arithmetic, fractions, decimals, and percentages until you feel comfortable with them.

Focus on understanding, not just memorizing: Math is not just about memorizing formulas and equations; it's about understanding how and why they work. Focus on understanding the underlying concepts and principles.

Practice regularly: The more you practice, the better you will get. Try to set aside some time each day to practice math problems. This will help you build your skills and improve your understanding.

Use multiple resources: Don't just rely on one textbook or resource. Use multiple resources such as online tutorials, videos, practice problems, and textbooks to get a well-rounded understanding of the topic.

Seek help when needed: Don't hesitate to ask for help if you are struggling with a particular topic. You can reach out to a teacher, tutor, or online community for help.

Stay motivated: Math can be challenging, but it's important to stay motivated and not give up. Keep a positive attitude, celebrate your successes, and remember that every mistake is an opportunity to learn and grow.

Remember that learning math takes time and effort, so don't get discouraged if you don't see immediate results. With persistence and hard work, you can become proficient in math.

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The proportional symbol in statistics is to express the percentage of a population that possesses a particular feature.

To express the percentage of a population that possesses a particular feature, the proportion symbol in statistics, abbreviated "p," is employed. The number of people in a population who share an interest feature divided by the total number of people in the population is represented as a proportion, which is a fraction or ratio.

We can select a random sample of people from the population and count the number of people who own cars, for instance, if we are interested in the percentage of residents of a city who drive. In our sample, let "x" represent the number of car owners, and "n" represent the total number of participants. The sample percentage of cars is thus to express the percentage of a population that possesses a particular feature, the proportion symbol in statistics, abbreviated "p," is employed. The number of people in a population who share an interest feature divided by the total number of people in the population is represented as a proportion, which is a fraction or ratio.

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Answer:

Step-by-step explanation:

to answer the questions.

Part A

To the nearest inch, how many inches is the height of the cylindrical package?

Part B

The company decides to keep the radius the same and double the height. Rounded to the nearest hundredth, how many cubic inches is the new volume of the package?

Answer: The final step in solving the inequality -2(5 - 4x) < 6x - 4 would be to isolate x on one side of the inequality. In the previous step (-6 < -2x), we have -2x on one side of the inequality and -6 on the other. To isolate x, we divide both sides of the inequality by -2:

-6 ÷ -2 < -2x ÷ -2

Since dividing by a negative number reverses the inequality direction, we get:

3 > x

So, the final solution to the inequality -2(5 - 4x) < 6x - 4 is x > 3. This means that all values of x that are greater than 3 satisfy the inequality.

Step-by-step explanation:

Answer:(x,y)=(8/3+y/3,-3-y/2

Step-by-step explanation:

y=3x-8            3x+2y=2         next simplify

8/3+y/3           -x-2/3y=-2/3   multiply both sides by -1/3

x=8/3+y/3       -x-2/3y=-2/3   eliminate at least 1 variable

y=-3-y/2

ordered pair to the solution 0=0 & 2=2

Answer:

A metal disk 12cm in diameter and 5cm thick is melted down and cast into a cylindrical bar of diameter 5cm . How long is the bar

The value of x or length of FD int the figure is  75.

image attached below,

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle.

This is similarities in sides questions. To solve make equation.

JY = 42

JS = 42 + 63 = 105

JD = 50

JF = 50 + x

Using the sides,

52/105 = 50/50+x

(42)(50+x) = (50)(105)

2100 + 42x = 5250

42x = 5250 - 2100

42x = 3150

x = 3150/42

x = 75.

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The reason [tex]26^{23[/tex] x [tex]26^{15[/tex]  can be written as  [tex]26^{38[/tex] because both have same base and power get added.

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.

Given:

We have [tex]26^{23[/tex] x [tex]26^{15[/tex]

Now, using the property of exponents and power if the base of number same and in relation of multiplication then the power get added.

So,  [tex]26^{23[/tex] x [tex]26^{15[/tex]

= [tex]26^{23 + 15[/tex]

and, 23+ 15 = 38

= [tex]26^{38[/tex]

So, the exponent can written with power of 38 as the power gets added.

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Answer:

Step-by-step explanation:

3(x+5)<5(-x+18)

3x+3x5<5(-x)+5x8

3x+15<-5x+40

3x-(-5x)<40-15

3x+5x<25

8x<25

x<25/8

The company's prime cost for January is 556000.

As per the data given:

Bodin Company manufactures finger splints for kids who get tendonitis from playing video games.

The firm had the following inventories at the beginning and end of the month of January.

                                            January 1                 January 31

The following additional data pertain to January operations.

Here we have compute the company's prime cost for January.

First add Raw materials, January 1 with Raw materials purchased and then subtract Raw materials, January 31 from this sum and then later add up the Direct labor to the result.

The final result will be the prime cost for January

Therefore the prime cost is 556000.

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62kg is equivalent to approximately 136.7 pounds and both are unit of measurement of weight.

The conversion factor from kilograms to pounds is 2.20462. To convert kilograms to pounds, you simply multiply the weight in kilograms by this conversion factor.

Therefore, to convert 62kg to pounds, we can multiply 62 by 2.20462, which gives us approximately 136.7 pounds.

It's important to note that kilograms and pounds are both units of weight, but they are used in different parts of the world. Kilograms are the standard unit of weight in most countries, while pounds are commonly used in the United States and some other countries.

When traveling or communicating with people from different countries, it's important to be able to convert between different units of measurement.

Online converters or calculators can be useful tools to quickly and accurately convert between kilograms and pounds, or other units of measurement, as needed.

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The constant of proportionality between 3.56 and 13.35 is 3.75 using the formula C = y/x.

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

When two variables are directly or indirectly proportional to one another, their relationship can be expressed using the formulas y = kx or y = k/x, where k specifies the degree of correspondence between the two variables.

The proportionality constant, k, is often used.

So, the Constant of Proportionality is as follows:

C = y/x

Now, insert values as follows:
C = y/x

C = 13.35/3.56

C = 3.75

Therefore, the constant of proportionality between 3.56 and 13.35 is 3.75 using the formula C = y/x.

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Correct question:

Proportionality constant between 3.56 and 13.35?

A B C D E F G H I J K L M N O P Q R S T U V W X Y AND Z NOW I KNOW MY ABCS NEXT TIME WONT YOU SING WITH MEEEEEEEEE

The probability of the parents having a child who is homozygous dominant for this trait is 25%

In the given question, there is a particular character that has two alleles Y dominant allele and y recessive allele. Both parents are heterozygous for the trait that is encoded as Yy cross with Yy.

                                   (1/4)x100 = 25%

Thus, the correct probability would be 25%

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Answer:

12 carrots

Step-by-step explanation:

If there is 3 times as much cabbages as there is carrots, and there is 36 cabbages then you would do 36/3 because of the 3 times as much.  The answer would be 12 carrots.

36/3=12

If the measure of one interior angle of a parallelogram is 0.25 times the measure of another angle, let's call the measure of the larger angle "x". Then, the measure of the smaller angle would be 0.25x.

In a parallelogram, opposite angles are equal in measure. So, if one angle measures x, the opposite angle would also measure x. And if one angle measures 0.25x, the opposite angle would also measure 0.25x.

Therefore, the sum of the measures of the angles in a parallelogram would be x + x + 0.25x + 0.25x = 2x + 0.5x = 2.5x.

Since the sum of the measures of the interior angles in a parallelogram must equal 360 degrees, we can set up the following equation:

2.5x = 360

Solving for x, we get:

x = 144

0.25x = 0.25*144

         = 36

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(1) The predetermined overhead rate is $10.50 per direct labor-hour.

(2) Mr. Wilkes' total job cost is $960.

(3) Speedy Auto Repairs would have charged Mr. Wilkes $1344 for the job.

1) To compute the predetermined overhead rate, we need to add the fixed and variable overhead costs, and then divide by the estimated direct labor-hours:

$114,000 + ($1.00 * 12,000) = $126,000

Predetermined overhead rate = $126,000 / 12,000 = $10.50 per direct labor-hour

2) To find Mr. Wilkes' total job cost, we need to add up the costs of the direct materials and direct labor, and then apply the predetermined overhead rate to the direct labor hours used:

Direct materials cost: $626

Direct labor cost: $292

Total direct costs: $626 + $292 = $918

Overhead cost: $10.50 * 4 = $42

Total job cost: $918 + $42 = $960

3) To find the selling price, we need to add a markup of 40% of the total job cost:

Total job cost: $960

Markup: 40% * $960 = $384

Selling price: $960 + $384 = $1344

So, Speedy Auto Repairs would have charged Mr. Wilkes $1344 for the job.

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The steps to explain and show how to evaluate a·b for a = 5 and b = 8 include the following:

Steps                                  a·b___

Substitute 5 for a              5·b

Substitute 8 for b              5·8

Multiply                              40

In Mathematics, an expression is sometimes referred to as an equation and it can be defined as a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).

Based on the information provided above, we have the following mathematical expression:

Expression = a·b

Expression = 5 × 8 (Substitute 5 for a and substitute 8 for b)

Expression = 40 (multiply).

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To determine which expression has a greater value for Y + 6, we need to isolate Y + 6 on one side of the equation and compare the two expressions.

Starting with 4(y + 6) = 48, we can distribute the 4 to get 4y + 24 = 48. Subtracting 24 from both sides gives us 4y = 24, and then dividing both sides by 4 gives us y = 6. So, for this expression, the value of Y + 6 is 6 + 6 = 12.

Next, for 12(y + 6) = 48, we can distribute the 12 to get 12y + 72 = 48. Subtracting 72 from both sides gives us 12y = -24, and then dividing both sides by 12 gives us y = -2. So, for this expression, the value of Y + 6 is -2 + 6 = 4.

Therefore, the value of Y + 6 is greater in 4(y + 6) = 48 than in 12(y + 6) = 48.

Answer:

The value of y + 6 is greater in the first equation.

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

Divide both sides of the first equation by 4:

Divide both sides of the second equation by 12:

As we see the first expression has greater value since 12 > 4.

Answer:

x = 30

Step-by-step explanation:

ΔABC is a right-angled triangle where:

∠C = 90°

Sum of interior angles in any triangle = 180°

Therefore:

x° + 2x° + 90°= 180°

3x° + 90° = 180°

3x° = 180° - 90°

3x° = 90°

x = [tex]\frac{90}{3}[/tex]

∴Value of x = 30

Answer:

[tex]x[/tex] is equal to [tex]30\textdegree[/tex]

Step-by-step explanation:

The sum of the interior angles in a triangle is 180 degrees. This is because a triangle is a polygon with three sides and three angles, and the sum of the angles in any polygon can be found by using the formula:

sum of interior angles = (n - 2) x 180 degrees

Note: n is the number of sides.

A triangle has 3 sides. So substituting 3 in for n gives us

(3 - 2) x 180 degrees = 180 degrees

So the sum of the interior angles in a triangle is always 180 degrees.

In this example we can say that  [tex]\angle A +\angle B+ \angle C=180\textdegree[/tex]

We are given a right triangle. A right angle is equal to 90 degrees.

We can conclude that

[tex]x+2x+90=180[/tex]

Lets solve for [tex]x[/tex].

Subtract 90 from both sides.

[tex]x+2x=180-90[/tex]

[tex]x+2x=90[/tex]

Add [tex]x[/tex] and [tex]2x[/tex].

[tex]3x=90[/tex]

Divide both sides by 3.

[tex]x=\frac{90}{3}[/tex]

[tex]x=30[/tex]

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