If using the method of completing the square to solve the quadratic equation x^2+13x+31=0x 2 +13x+31=0, which number would have to be added to "complete the square"?.

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

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.

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)

Learn more about confidence intervals:

https://brainly.com/question/24131141

#SPJ4

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

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

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.

To know more about correlation here

https://brainly.com/question/28447679

#SPJ4

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

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: 2 half-life periods

and 6 days

Answer:

Step-by-step explanation:

Answer:

C. 20

Step-by-step explanation:

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

Answer: 3 negative residuals and 5 positive residuals

Step-by-step explanation:  When the observed number is lower than the predicted number then this is an example of a negative residual. The tricky thing is this doesn't make much sense you would think that this would be a positive residual but it's not to that's something you need to remember!

example

observed number: 10

predicted number: 10.5

this is a negative residual and it's the opposite for the positive residual

The data set has 2 negative residuals and 6 positive residuals. which is the correct answer would be an option (A).

A residual is a difference between the observed value and the predicted value for a given data point. The sign of the residual indicates whether the predicted value is above or below the observed value.

The table defines the observed data values and the corresponding predicted values, based on a regression line of fit.

Observed    Predicted

9                    7.77

12                    12.87

12                    11.17

15                    14.57

17                    16.27

24                    24.77

28                    26.47

33                    31.57

In this case, the residuals for the data points would be calculated as follows:

Observed value - Predicted value = Residual

9 - 7.77 = 1.23 (positive)

12 - 12.87 = -0.87 (negative)

12 - 11.17 = 0.83 (positive)

15 - 14.57 = 0.43 (positive)

17 - 16.27 = 0.73 (positive)

24 - 24.77 = -0.77 (negative)

28 - 26.47 = 1.53 (positive)

33 - 31.57 = 1.43 (positive)

Based on these calculations, there are 2 negative residuals (-0.87 and -0.77) and 6 positive residuals (1.23, 0.83, 0.43, 0.73, 1.53, and 1.43).

Therefore, the data set have 2 negative residuals and 6 positive residuals.

To learn about regression lines click here

brainly.com/question/10209928

#SPJ2

Answer:

y = 136 degrees

Step-by-step explanation:

We can see that both x and y lie on a straight line. Their two angles add up to be a straight line....

We already know the value of x (44)

x + y = 180 degrees

44 + y = 180

(Subtract from both sides)

y = 136

So, y is 136 degrees

This looks correct, since angle y seems to be an obtuse angle

(a) The total number of possible outcomes of the experiment is 25 outcomes .

(b) The probability of the event that the first ball drawn is blue is 2/5 .

In the question ,

it is given that ,

the number of blue balls in the urn = 2 ( b1 and b2)

the number of white balls in the urn = 3 (w1 , w2 and w3)

also given that ,

one ball is drawn, its color is recorded and is replaced in urn. then another ball is drawn and the color is recorded .

Part(a) ,

the total number of possible outcomes for experiment will be

b1b1, b1b2, b1w1, b1w2, b1w3

b2b1, b2b2, b2w1, b2w2, b2w3

w1b1, w1b2, w1w1, w1w2, w1w2

w2b1, w2b2, w2w1, w2w2, w2w3

w3b1, w3b2, w3w1, w3w2, w3w3 .

So , total number of outcomes is = 25 .

Part(b) ,

From Part(a) , we can see that the outcomes with first ball blue are

b1b1, b1b2, b1w1, b1w2, b1w3

b2b1, b2b2, b2w1, b2w2, b2w3,

the number of outcomes with first ball blue is = 10 .

So , the probability = (number of outcomes with first ball blue)/(total number of outcomes) .

= 10/25

= 2/5 .

Therefore , total number of outcomes is 25 and the probability that first ball is blue is 2/5 .

The given question is incomplete , the complete question is

An urn contains two blue balls (denoted b1 and b2) and three white balls (denoted w1,w2, and w3). one ball is drawn, its color is recorded, and it is replaced in the urn. then another ball is drawn and its color is recorded.

(a) let b1w2 denote the outcome that the first ball drawn is b1 and the second ball drawn is w2. because the first ball is replaced before the second ball is drawn, the outcomes of the experiment are equally likely. the total number of possible outcomes of the experiment is         .

(b) consider the event that the first ball that is drawn is blue. what is the probability of the event ?

Learn more about Probability here

https://brainly.com/question/16895575

#SPJ4

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).

To learn more about confidence interval click here:

brainly.com/question/24131141

#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.

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.

To learn more about Counting principle , refer:

https://brainly.com/question/16858325

#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

The value of x in linear equation 3.8x-(-1-9.7x)=2.6+13.3x is 8

Two or more expressions with an Equal sign is called as Equation.

Given linear equation is 3.8x-(-1-9.7x)=2.6+13.3x

3.8x+1+9.7x=2.6+13.3x

Add the x variable terms on left

13.5x+1=2.6+13.3x

Subtract 13.3x and 1 on both sides

13.5x-13.3x=2.6-1

0.2x=1.6

Divide both sides by 0.2

x=8

Hence, the value of x in linear equation 3.8x-(-1-9.7x)=2.6+13.3x is 8

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

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%

Find out more on percentage increase at https://brainly.com/question/25098379

#SPJ1

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

Alternative hypothesis may be one-sided or two-sided.

b) alternative hypothesis.

In statistical hypothesis testing, the alternative hypothesis is one of the suggested propositions in the hypothesis test. In general, the purpose of a hypothesis test is to demonstrate that, under the given conditions, there is sufficient evidence to support the believability of an alternate hypothesis rather than the test's exclusive statement (null hypothesis). Because it is based on a review of the literature and previous studies, it is usually congruent with the research hypothesis. However, the research hypothesis is sometimes congruent with the null hypothesis.

In statistics, alternative hypotheses are frequently denoted as Hₐ or H₁. In a statistical hypothesis test, hypotheses are developed to be compared.

In the field of inferential statistics, two competing hypotheses can be compared using explanatory and predictive power.

This is the two tailed test .

alternative hypothesis is ,

Hₐ :μ≠

For the left tail is

Hₐ : μ<

For the right tail is

Hₐ :  μ >

To know more about alternative hypothesis, visit:

https://brainly.com/question/27335001

#SPJ4

The complete question is :

"In hypothesis testing, which hypothesis can be either one-sided or two sided?

Group of answer choices

a.) null hypothesis

b.) alternative hypothesis"

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

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

Answer:

Step-by-step explanation:

ans is in the attachment.

Required factors for the given polynomial 2x² + 5x + 3 is given by

(2x + 3) ( x+ 1).

As given in the question,

Given polynomial is equal to :

2x² + 5x + 3

Simplify the given polynomial by factorizing it:

2x² + 5x + 3

Standard form of quadratic equation is:

ax² + bx + c

Factors of the equation 2x² + 5x + 3  are:

x = (-b ± √b² -4ac )/2a

x = ( -5 ± √5² -4(2)(3) )/2(2)

   = (-5 ± 1) /4

⇒(2x +3) (x+1) are the factors

Therefore, the required factors of the given polynomial is given by       ( 2x + 3 ) ( x + 1 ).

Learn more about polynomial here

brainly.com/question/11536910

#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 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

Using simulation and Technics E and R,

he correct answer is option (b) and option (e).Use random two-digit numbers, where are a make and are a miss.

Simulation:

Simulation is a method of modeling random events so that the simulated results closely resemble the actual results. By observing simulated results, researchers gain insight into the real world.

random numbers.

We have been given that a basketball player claims to make 47% of her shots from the field.

Total number of shots in set taking by player = 10

let consider two events

A: She makes the shot

B: She miss the slot

Probability that she makes the slot , P(A) = 47%

= 0.47

Probability that she miss the slot , P(A) = 1 - 47%

= 57% = 0.53

Use TRD,

make slot = 00-46 and miss slot= 47-99

One trial = 10 shots

now, the possible options which may be right are option b and e .

To learn more about simulation, refer:

https://brainly.com/question/28445066

#SPJ4

Complete question:

Select the best answer.

A basketball player claims to make 47% of her shots from the field. We want to simulate the player taking sets of 10 shots, assuming that her claim is true. To simulate the number of makes in 10 shot attempts, you would perform the simulation as follows:

(a) Use 10 random one-digit numbers, where 0-4 are a make and 5-9 are a miss.

(b) Use 10 random two-digit numbers, where 00-46 are a make and 47-99 are a miss.

(c) Use 10 random two-digit numbers, where 00-47 are a make and 48-99 are a miss.

(d) Use 47 random one-digit numbers, where 0 is a make and 1-9 are a miss.

(e) Use 47 random two-digit numbers, where 00-46 are a make and 47-99 are a miss.

Answer: 5 for 600 each

There are 50 great balls.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Cost of 1 great ball = $600

Total amount = $3000

So, number of Great balls

= 3000 / 600

= 50

hence, there are 50 great balls.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2