What are the properties of numbers?.

When Gladstorm enterprises sells a product for $50 per unit. the variable cost is $32 per unit, while fixed costs are $11,664. The break-even point in sales units is  775 units

The break-even point in sales units can be calculate as follows:

Contribution margin per unit:

= selling price - variable cost

= $50 - $31

= $19

Break-even point in sales:

= fixed cost ÷ contribution margin per unit

= $14,725 ÷ $19

= 775 units

Therefore,  The break-even point in sales units is  775 units when Gladstorm enterprises sells a product for $50 per unit. the variable cost is $32 per unit, while fixed costs are $11,664.

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Answer:

200 miles

Step-by-step explanation:

1 3/4 can be turned into a decimal as 1.75

Now let’s create fractions to prepare for cross multiplication

1.75/50=7/x

1.75x=7(50)

1.75x=350

/1.75.  /1.75

x=200

200 miles

hopes this helps please mark brainliest

Using the Equivalent Taxable yield formula ,

the equivalent Taxable yield for a taxpayer is 10.75%.

Equivalent Taxable yield :

Tax-equivalent yield is determined by taking the yield of a tax-exempt bond and dividing it by one minus an investor's federal income tax bracket.

Tax-equivalent yield is a way to measure the return on a taxable bond or other investment to make it equal to the return associated with a tax-exempt bond or investment.

Formula:

Tax-equivalent yield = interest rate ÷ (1 – tax rate)

We have given that

Marginal tax bracket or tax rate = 33%

currently priced yield = 7.2 %

Equivalent taxable yield = Yield / ( 1 - Tax% )

= 7.2% / ( 1 - 33% )

= 0.072 /(1-0.33)

= 0.072/0.67

= 0.10746

= 10.75%

Hence, total equivalent Taxable yield for taxpayer is 10.75%.

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Answer:

.4

=soda,

0.5=tea

Step-by-step explanation:

Answer:

one soda costs 0.25 euros

One tea costs 0.5 euros

Step-by-step explanation:

we make a system of equations

S- soda

t- tea

2s+3t=2

5s+3t=2.75

we have to isolate a variable because I like to use substitution method best

2s+3t=2

   -3t.  -3t

2s=2-3t

/2. /2. /2

s=1-1.5t

5(1-1.5t)+3t=2.75

5-7.5t+3t=2.75

5-4.5t=2.75

-5.       -5

-4.5t=-2.25

/-4.5.  /-4.5

t=0.5

One tea is 0.5 euros

Now to find one soda we just fill it in

2s+3(0.5)=2

2s+1.5=2

  -1.5.  -1.5

2s=0.5

/2.  /2

s=0.25

One side cost 0.25 euros

Hopes this helps please mark brainliest

The number of players the team can bring to the tournament is 24.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represnets the number of players the team can bring to the tournament.

Then the equation which can be used to determine x, the number of players the team can bring to the tournament can be written as;

Thus Total money raised = Rent of bus + (Cost per player) (Number of players)

2089.50 = 1087.50 + 41. 75x

2089.50- 1087.50 = 41. 75x

1002 = 41. 75x

x = 24

Hence, the number of players the team can bring to the tournament is 24.

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Answer:

the only positive multiple of 3, which is a prime number is 1×3=3 itself.

hope this helps! :)

Step-by-step explanation:

The required probability that both are red out of total marbles is 0.0431 or 4.31%.

A probability is a number that mirrors the opportunity or probability that a specific occasion will happen. Probabilities can be communicated as extents that reach from 0 to 1, and they can likewise be communicated as rates going from 0% to 100 percent.

Total number of marbles in a jar = 40 + 11 = 51

Number of red marbles = 11, blue marbles = 40

At our first pull, there is an 11/51 chance that a red will be pulled and in second pull the probability is 10/50 , as one red marbles taken out.

Net probability = 11/51×10/50 = 0.0431

percentage probability = 4.31%

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3,14,19,25,14 is set of data has a mean of 15 a range of 22 a median of 14 and a mode of 14.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

First, arrange the given set in ascending order.

3,14,19,25,14

Ascending order = 3, 14, 14, 19, 25

Mean = sum of observations/total observations

(3+14+14+19+25)/5

75/5

15

Median is the middle number of the data.

3, 14, 14, 19, 25

14 is the median

The Mode is the number that occurs most number of times.

3, 14, 14, 19, 25

In the given data, 14 occurs two times. so, 14 is the mode.

Range:

Range is highest value - lowest value

3, 14, 14, 19, 25

=> 25 - 3 =22

so, range is 22.

Hence, the required set of data is 3,14,19,25,14

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500 jellybeans were originally present in the jar when 80 percent of the jellybeans in a jar were consumed by students in a classroom. Only 100 jelly beans are still available.

Given that,

80 percent of the jellybeans in a jar were consumed by students in a classroom. Only 100 jelly beans are still available.

We have to find how many jellybeans were originally present in the jar.

We know that,

80 percent of the jellybeans in a jar were consumed by students in a classroom.

Only 100 jelly beans are still available.

100/(1-80%)

100/0.2

100/1/5

100×5

500

Therefore, 500 jellybeans were originally present in the jar when 80 percent of the jellybeans in a jar were consumed by students in a classroom. Only 100 jelly beans are still available.

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With including a new race time of 24.9s the mean will change from 21.9s to 22.5s by 0.6s

What is mean?

The mean is the average or the most common value in a collection of numbers.

In statistics, it is a measure of central tendency of a probability distribution along median and mode.

It is also referred to as an expected value.

According to the given question:

His initial mean would be calculated by:

His minimum race time = 18.9s

The maximum race time = 18.9 + 5.2 = 24.1s

Since the mode is also 24.1, there are two 24.1s races.

Since the median is 22.3s and the number of race times is even, the final race time can be calculated by:

24.1 - 22.3s = 1.8s

22.3 - 1.8 = 20.5s

So the race times are 18.9s, 20.5s, 24.1s and 24.1s.

This means that his initial mean was ( 18.9 + 20.5s + 24.1 + 24.1)/4 = (87.6)/4 = 21.9s

With the new race time, the equation will change to (87.6 + 24.9)/(4+1)= 112.5/5= 22.5s

So the mean change would be 22.5 - 21.9 = 0.6 s

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Answer: 2 half-life periods

and 6 days

Answer:

Step-by-step explanation:

The following exemplifies a type of error in this situation, we fail to reject the claim that the proportion of dental procedures that are extractions is 0.16 when the proportion is actually different from 0.16.

What is dental extraction?

An extraction is a process used to remove a tooth from its socket in the gum. A regular dentist, an oral surgeon, or a periodontist typically performs it. Normal teeth might look different, especially the molars.

Here, we have

The proportion of dental procedures that are extractions is 0.16.

We have to find errors in this situation,

we concluded that we fail to reject the claim that the proportion of dental procedures that are extractions is 0.16 when the proportion is actually different from 0.16.

Hence, the following exemplifies a type of error in this situation, we fail to reject the claim that the proportion of dental procedures that are extractions is 0.16 when the proportion is actually different from 0.16.

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The pre-split market capitalization of BBQ corp. is $24,451,875.

Given that, BBQ Corp. had a 3:1 stock split ratio. Pre-split the company had 1.35 Million outstanding shares at a price of $72.45 per share.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 3+1=4

Now, 1/4 × 1350000

= 337500 shares

So, capitalization is 337500×72.45

= $24,451,875

Therefore, the pre-split market capitalization of BBQ corp. is $24,451,875.

Using the Real rate of return,

the real value of the invetment at the end of one year is $1058.

Real rate of return:

The real rate of return is the present value of the return on investment after taxes and inflation.

By considering the expected inflation rate and the effective interest rate in the compounding interval, we can derive the real interest rate.

Real Rate Of Return Formula,

Real rate of return = [( 1+ Nominal rate )/(1+ inflation rate) ] - 1

The principal amount of investment by Mr.X ( A)

= $1,000

The nominal or current rate of interest (i)= 10%

The rate of inflation ( π )= 4%

pulging all the values in above formula we get,

rate of return (R) =[ ( 1 + i ) /(1+π)] - 1

=> R =[ (1+0.1 )/(1+0.04) ] - 1 = (1.1 / 1.04 ) - 1

=> R = 0.05769(approx.)

=5.8%(approx.)

so, real rate of return = 5.8%

Real value of investment after a year = principle amount (A) + { real rate return × principle amount}

Real value of investment =$1,000+{5.8%×$1,000}

=$1,000+$58

=$1,058

Hence, real value of investment at the end of year is $1,058.

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The percentage that the number of individual packages increased by in the newly designed box is 40%

To find the percentage increase, you first need to find the increase in the number of individual packages in the newly designed box.

This increase is:

= Newly designed box quantity - old box of snacks

= 28 - 20

= 8 individual packages

The percentage increase would then be:
= Increase in packages / Number of packages in old box of snacks

= 8 / 20

= 40%

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Answer:

C. 20

Step-by-step explanation:

Since 11 times 4 = 44, you can multiply your 5 by 4 to get 20.

Answer:

Step-by-step explanation:

ans is in the attachment.

Using Counting principle,

The black center square contains total 330 small squares.

We start with lowest one i.e 1 × 1

Let’s consider any one face out of six faces of cube ,

as one face of grid or cube is made up of 25 small squares.

If we are facing difficulty in visualising then

simply we draw a 5× 5 board on paper, just as seen in above picture :

and now check 2× 2 squares.

By using R1, R2 and all columns we shall be able to draw 4 such blocks.

Again, R2,R3 and R3, R4 and R4,R5 we can easily draw 4 squares each cash .

Thus, total square count of 2× 2 squares will be

= 16

similarly, we do it for 3× 3 and 4×4 and we will get 9 & 4 respectively.

For final one 5× 5 there is one big square

So, total squares for one face will be

= 25+16+9+4+1=55

Since, there are 6 such faces for a cube then

=>55× 6= 330

Hence, total squares contain the black center square is 330.

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Orwell wanted to portray the Russian (or Bolshevik) Revolution of 1917 as one that produced a government more oppressive, totalitarian, and lethal than the one it toppled in Animal Farm.

What does Animal Farm say about the USSR?

What kind of allegory does Animal Farm depict?

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The area of square abcd is  be parallel lines passing through $a$, $b$, $c$, respectively is the 433.

Squares are quadrilaterals with four congruent aspects and four proper angles, and additionally they have units of parallel aspects. Parallelograms are quadrilaterals with units of parallel aspects. Since squares have to be quadrilaterals with units of parallel aspects, then all squares are parallelograms.

Here we have the values the distance between lines a and b is 12, and the distance between lines b and c is 17.

The distance is 12 and 17

x^2 = 12^2 + 17^2 = 144 +289 = 433

433 is the total that is the area of square of abcd.

Thus the area = 433.

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A factor is just a number that completely divides another number, x=1,2,2 are factors.

Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an equation made up of variables, constants, and exponents.

Here x³ - 5x² + 8x - 4 is the cubic polynomial  

Let's take x = 1 ,

=> 0=x - 1  

So, one of the factor = (x - 1)

Now,

By Division method, we get

=> (x³ - 5x² + 8x - 4) is Dividend

=>  (x - 1) is Divisor

=> (x² - 4x + 4) is Quotient

Now we will solve for,

(x)² - (4x) + 4

(x)² - (2x)- (2x) + 4

(x-2)X(x-2)

x=2,2

x=1,2,2 are factors.

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Answer: A is the answerrrrrr

Step-by-step explanation:

Answer:

AB= 12                      AB=18

Step-by-step explanation:

sin(30)=AB/AC

=> AB=Sin(30)*AC

sin(30)=0.5

=>AB=0.5*24=15

sin(30)=AB/AC

=> AB=Sin(30)*AC

sin(30)=0.5

=>AB=0.5*36=18

Answer:

part a: AB = 12cm

part b: AB = 18cm

Step-by-step explanation:

sin(angle)=OPP/HYP

sine of an angle is a ratio of two sides of a right triangle. For sine, the ratio is the opposite side over the hypotenuse. In part a the marked angle is 30° and AB is the opposite side. The hypotenuse is given, 24cm.

So the sin 30°

= opp/hyp

= AB / 24

also given is the fact that sin30°=.5

Substitute that into our equation also.

sin30° = AB/24

.5 = AB/24

multiply both sides by 24.

.5×24 = AB

12 = AB

AB is 12 cm.

Part b is an identical calculation except the hypotenuse is 36cm.

sin30° = AB/36

.5 = AB/36

.5×36 = AB

18 = AB

AB is 18cm.

They may be trying to lead you to discover some shortcut patterns in a 30°-60°-90° triangle. That is that the short leg is HALF the hypotenuse OR the hypotenuse is double the short leg.

If both variable in a correlational study are non-numerical, the data can be organized in a matrix and then analyzed using a Chi-square hypothesis test.

A correlational study design investigates relationships between two variables (or more) without the researcher controlling or manipulating any of them.

Chi-square test for hypothesis tests about whether your data is as expected. The basic idea behind the test is to compare the observed values in your data to the expected values that you would see if the null hypothesis is true.

The Chi-square statistic compares the size of any discrepancies between the expected results and the actual results, given the size of the sample and the number of variables in the relationship.

Hence if both variables in a correlational study are non-numerical, the data can be organized in a matrix and then analyzed using a Chi-square hypothesis test.

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Answer:

The cost per unit is the same for the 12 ounce bag and the 26 ounce bag.  Since the cost is the same, it would come down to would you rather have 12 ounces or 26 ounces?  The 8 ounce bag cost the most.

Step-by-step explanation:

Find the unit costs

[tex]\frac{3.40}{8}[/tex] = .425

[tex]\frac{4.80}{12}[/tex] = .4

[tex]\frac{10.40}{26}[/tex] = .4

The 99% confidence interval for the population mean is (20.6568, 29.3432)

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts. Therefore, it can be concluded that there is a 95% probability that the true value falls within that range if a point estimate of 10.00 is produced from a statistical model with a 95% confidence interval of 9.50 - 10.50.

Given:

Sample size = 21

Mean = 25

Standard deviation = 7

Confidence interval = 99%

α=1−0.99=0.01

α/2 = 0.005

Degrees of freedom(df)=n−1=21−1=20

Critical value(tc)=tα/2,df = t0.005,20 = 2.8433

Confidence Interval = mean +- tc * s/[tex]\sqrt{n}[/tex]

C.I = 25 ± 2.8433×7/[tex]\sqrt{21}[/tex]

C.I = (25 ± 4.3432)

C.I = (25−4.3432, 25+4.3432)

C.I = (20.6568, 29.3432)

99% confidence interval for the population average of the times homes are shown is (20.6568, 29.3432)

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A 95% confidence interval for population proportion p is (0.5336, 0.7213).

Given,

One difficulty in measuring the nesting success of birds is that the researchers must count the number of eggs in the nest, which is disturbing to the parents. Even though the researcher does not harm the birds, the flight of the bird might alert predators to the presence of a nest. To see if researcher activity might degrade nesting success, the nest survival of 102 nests that had their eggs counted, was recorded. Sixty-four of the nests failed (i.e. the parent abandoned the nest.)

To find,

Assuming that it is reasonable to regard the 102 nests in the sample as representative of the population of nests for which the eggs have been counted, construct and interpret a 95% confidence interval for the proportion of nests that have eggs counted that are then abandoned;

n = 102

x = 64

Point estimate = sample proportion = [tex]\hat p[/tex] = x / n = 64/102 =0.627

1 - [tex]\hat p[/tex] = 1 - 0.627 = 0.373

[tex]Z\alpha/2[/tex] = 1.96

The margin of error = E

                         [tex]= Z\alpha / 2 * \sqrt((\hat p * (1 - \hat p)) / n) = 1.96 * (\sqrt(0.627*(0.373) /102 ) = 0.0934[/tex]

A 95% confidence interval for population proportion p is;

[tex]\hat p[/tex]  - E < p <  [tex]\hat p[/tex]  + E

0.627 - 0.0934 < p < 0.627 + 0.0934

0.5336 < p < 0.7213

(0.5336, 0.7213)

Hence, a 95% confidence interval for population proportion p is (0.5336, 0.7213).

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Mike bought 5 pounds of red candy and 6 pounds of blue candy.

What is word problem?

 Our comprehensive list of math problems focuses on addition, subtraction, multiplication, division and more specific operations. A math problem is a math question written in one or more sentences that asks a child to apply math knowledge to the "real world." life scenario. This means that children need to be familiar with the vocabulary related to the mathematical symbols they used to understand the meaning of word problems.

Here Mike  spent $11.19 on a bag of red and blue candies and both candies weigh 11 lbs

=>Red candies weigh x lbs

=>Blue candies weigh (11-x) lbs

Here cost of x red candy is

=>$1.29/lb* x lbs of red candy

=> 1.29x

Now ,(11-x) lbs of blue candy costs $0.79 (11-x) = $8.69-0 .79 x

Due to the problem, $8.69 - 0.79 x + 1.29 x = $11.19

or $0.50 x = $11.19 - $8.69 = 2.50 $

or $50 x / 100 = $250 / $100

or $50 x = 250 $

or x = 250/50 = 5, red The candy weighs 5 pounds

The blue candy weighs =11-x=11–5=6 pounds

Therefore mike  bought 5 pounds of red candy and 6 pounds of blue candy.

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The answer is tabulated as below :

Given that,

Chubby Ville purchases a delivery van for $24,000, chubbyville estimates a four-year service life and a residual life of $1600

A Single straight line method Depreciation each year is 5,600 (24,000 - 1,600) divided by four years.

Method 2 of Double Declining Balance

Depreciable Year Amount

Depreciation Rate, Exp. Acc., and Dep Book Value

1 $24,000 50.00%

$12,000 $12,000 $12,000\s 2 $12,000 50.00%

$6,000 $18,000 $6,000\s 3 $6,000 50.00%

$3,000 $21,000 $3,000

4 $3,000 46.67%

$1,400 $22,400 $1,600

Three Units of Production

Year miles

Depreciation Amount/Unit Depreciation Expense Accounting Dep Book Value

1 19,000 $0.21 $3,990 $3,990 $20,010

2 30,000 $0.21 $6,300 $10,290 $13,710\s 3 23,000 $0.21 $4,830 $15,120 $8,880

4 24,000 $0.21 $5,040 $20,160 $3,840

Mileage depreciation $0.21 (24,000 - 1,600)/109,000

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