a couple plans to have no more than three children, and they will keep having children until they have a girl. so, if their first child is a girl, they will stop and have only one child. however, if their first child is a boy, they will try again and have a second child. as it turns out, the probability of having a boy is slightly greater than having a girl. here is the probability distribution for the number of boys the couple could have. boys 0 boys 1 boy 2 boys 3 boys probability 0.490 0.250 0.127 0.133 what is the probability the couple will have at least two boys? do not round.

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.

Learn more about breakeven points here.

Brainly.com/question/9212451

#SPJ4

Answer:

C. 20

Step-by-step explanation:

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

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.

To learn more about percent visit: https://brainly.com/question/28840349

#SPJ4

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.

To learn more about Real Rate return , refer:

https://brainly.com/question/11818718

#SPJ4

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.

To learn more about the extractions from the given link

https://brainly.com/question/333741

#SPJ4

The correct option is (a) Gareth will choose the Brand R credit card for the freezer because it is $548.18 less expensive than the Brand S.

An annual percentage rate, or APR, is used to express the interest rate that is applied to the principal amount of a loan.

The credit card's yearly percentage rate is 9.31%.

Gareth takes four years to pay off a Brand R freezer compared to just 18 months for a Brand S freezer.

Overall, ten years have gone.

To determine which credit card has the lowest lifetime cost for a freezer, we must compare the APRs of the two cards.

Let's say there are 1000 freezers. As a result, the APR for 18 months will be lower because the interest rate's duration is shorter.

The B and R will therefore be $548.18 less expensive than Brand S, according to a comparison of the APR.

Learn more about APR at

brainly.com/question/26589207

#SPJ4

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 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.

Read more about quadrilateral :

https://brainly.com/question/23935806

#SPJ4

Answer:

Step-by-step explanation:

ans is in the attachment.

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%.

To learn more about equivalent Taxable yield, refer:

https://brainly.com/question/19338984

#SPJ4

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.

To learn more about word problem refer the below link

https://brainly.com/question/21405634

#SPJ4

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

To learn more on Statistics click:

https://brainly.in/question/18739482

#SPJ1

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%

To know more about probability visit:

brainly.com/question/15124899

#SPJ4

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

To know more about mean visit

https://brainly.com/question/8622653

#SPJ9

The transition matrix for Markovian is,

[ 0.7     0.3 ]

[ 0.3     0.7 ]

Probability is an area of mathematics that deals with numerical descriptions of the likelihood of an event happening or a proposition being true. An event's probability is a number between 0 and 1, where 0 indicates impossibility and 1 represents certainty.

Probability is simply the possibility of something happening. When we are confused about the outcome of an event, we might discuss the probabilities of certain outcomes—how likely they are. Statistics is the study of occurrences based on probability.

Let [tex]S_{i}[/tex], i = 1, 2, is denoted for state i.

If [tex]T_{ij}[/tex] is denoted for the transition from [tex]S_{j}[/tex]  to [tex]S_{i}[/tex],

The transition probabilities are given by:

Probability(T₁₁) = 0.7

Probability(T₂₁) = 1- Probability(T₁₁) = 1 - 0.7 = 0.3

Probability(T₁₂) = 0.3

Probability(T₂₂) = 1- Prob(T₁₂) = 1 - 0.3 = 0.7

So, the transition matrix for Markovian is,

[ 0.7     0.3 ]

[ 0.3     0.7 ]

To know more about probability, visit:

https://brainly.com/question/11234923

#SPJ4

Answer: 2 half-life periods

and 6 days

Answer:

Step-by-step explanation:

The option that is correct about a probability distribution is D. All or the above.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In this case, 0 denotes the impossibility of the event and 1 represents certainty.

In this case, the sum of all possible outcomes must equal 1, the outcomes must be mutually exclusive and the probability of each outcome must be between 0 and 1 inclusive

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

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

To learn more about Depreciation click here:

brainly.com/question/15085226

#SPJ4

Answer:

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

hope this helps! :)

Step-by-step explanation:

Higher mean absolute deviation is an example of a measure of variability and range. It give us some information about how spread out the data in a data set is. When used together with measures of center like the mean and median, they can give us a useful overview of the data set.

For an example,

A chef wants to hire someone to work in his kitchen. There are two candidates: Sally and Nader. To test their abilities, he times how long it takes them to make each of four meals and records the data in two tables.

He decides to calculate the mean time it took each candidate to make the four meals; he is planning to hire the candidate with the lower (quicker) mean time.

The mean time it takes Sally to make a meal is

= 3+5+7+9 / 4

=24/6

= 6 minutes

The mean time it takes Nader to make a meal is

= 5+6+5+8 / 4

=24/4

= 6 minutes

After having mean times same he doesn't classify which one is best he used their statical graphs.

For Sally, the mean absolute deviation of her times is the mean of the distances,

=4+1+2+3 / 4

=2.5

For Nader, the mean absolute deviation of his times is

= 1+0+1+2 / 4

=1

The chef sees that the mean absolute deviation of Nader’s times is lower than the mean absolute deviation of Sally’s times. This shows that Nader is more consistent in his cooking times and agrees with what we observed from the bar graphs.

Which means that the higher mean absolute deviation occurs less consistency in the mean absolute deviation.

To know more about Absolute mean deviation

https://brainly.com/question/4364130

#SPJ4

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.

To know more about polynomial visit:

https://brainly.com/question/11536910

#SPJ4

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.

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.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

Answer:

the answer would be 3 and the power that is being compose is 2

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

Answer: A is the answerrrrrr

Step-by-step explanation:

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?

Learn more about Animal Farm

brainly.com/question/2497089

#SPJ4

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 values of p and q are 3 and 2.

Given:

The equation of the graph is y = pq^x where p and q are positive constants.

From the graph:

curve linear course points are:

(0,3) and (1,6)

substitute points in y = pq^x

3 = pq^0

3 = p*1

p = 3

y = pq^x

6 = pq^1

6 = p*q

6 = 3*q

divide by 3 on both sides

6/3 = 1

q = 2

Learn more about the equation here:

https://brainly.com/question/10413253

#SPJ1

When one triangle's three sides are equal to the corresponding three sides of another triangle, two triangles are said to be congruent.

Triangle ABC and triangle PQR, where AB = PQ, BC = QR, and AC = PR.

Triangle ABC is comparable to PQR, therefore proving

Assuming triangle ABC's longest side is BC, triangle PQR's longest side is QR.

As a result, the angles RQS = angle CBA, QRS = angle BCA, and they combine at SQ and SR.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4