Please help I can’t figure it out

Please Help I Cant Figure It Out

Answers

Answer 1

well, let's first off find out how many actually do favor it in the first place.

[tex]\stackrel{total}{4000}\cdot \cfrac{3}{8}\implies \stackrel{seniors}{\text{\LARGE 1500}}\hspace{12em}\stackrel{total}{4000}-1500=\stackrel{not~seniors}{\text{\LARGE 2500}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{seniors}{\text{\LARGE 1500}}\cdot \cfrac{1}{6}\implies \stackrel{in~favor}{\text{\LARGE 250}}\hspace{11em} \stackrel{not~seniors}{\text{\LARGE 2500}}\cdot \cfrac{3}{5}\implies \stackrel{in~favor}{\text{\LARGE 1500}} \\\\[-0.35em] ~\dotfill\\\\ 250+1500\implies \stackrel{in~favor}{\text{\LARGE 1750}}\hspace{15em}\boxed{\underset{\textit{do not favor it}}{\stackrel{4000~~ - ~~1750}{\text{\LARGE 2250}}}}[/tex]


Related Questions

Learn with an example
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Savannah is the costume manager for a large theater company. She has 10 different hats,
including 2 sailor's caps.
Submit
What is the probability that a randomly chosen hat from Savannah's inventory will be a
sailor's cap?
Write your answer as a fraction or whole number.
P(sailor's cap) =

Answers

Answer:2/10

Step-by-step explanation:there are 2 sailor hats out of 10 hats meaning every 10 hats you pull you will get 2 sailor hats so this makes 2/10 correct

what is the answer for this mathematical question?

Answers

Answer:

Disagree with Chen

Explanation below

Step-by-step explanation:

The vertex of a quadratic function is either the minimum or maximum of that function.

We can find the value of x for which the minimum or maximum occurs by differentiating the  function with respect to x, setting the differential to 0 and solving for x.

We have

[tex]f(x) = ax^2+bx+c = 0[/tex]

Differentiating with respect to x we get

[tex]f'(x) = 2ax+b[/tex]

Setting this first derivative to 0 gives us
[tex]2ax+b =0[/tex]

[tex]2ax = -b\\[/tex]

[tex]x = -\dfrac{b}{2a}[/tex]

So the vertex will occur at

[tex]x_v = -\dfrac{b}{2a}[/tex]

Substitute this value of [tex]x _v[/tex]into the original function to get the corresponding value of [tex]y_v[/tex] for the vertex

[tex]f(x_v) = a\left(-\dfrac{b}{2a}\right)^2 +b\left(-\dfrac{b}{2a}\right) + c\\\\\\= a\left(\dfrac{b^2}{4a^2}\right) - \dfrac{b^2}{2a} + c\\\\\\= \dfrac{b^2}{4a} -\dfrac{b^2}{2a} + c\\\\\\[/tex]

[tex]\dfrac{b^2}{4a} -\dfrac{b^2}{2a} = -\dfrac{b^2}{4a}\\\\[/tex]

giving us

[tex]f(x_v) = -\dfrac{b^2}{4a} + c\\\\[/tex]

The right hand side can be simplified by multiplying throughout by 4a giving

[tex]f(x_v) = \dfrac{-b^2 + 4ac}{4a}\\\\\\[/tex]

which can be re-written as

[tex]f(x_v) = -\dfrac{b^2-4ac}{4a}[/tex]

But this is nothing but the y-coordinate of the vertex ie [tex]y_v[/tex]

So the vertex will occur at the point

[tex]\left(-\dfrac{b}{2a}, -\dfrac{b^2-4ac}{4a}\right)[/tex]

Chen is therefore incorrect

Evaluating functions

Answers

I think the first one would be f(4)=74
Then x=6

Linda's Boutique historically paid the members of its staff $10. Then the boutique merged with another store, and the staff members started making $9. What was the percent of decrease in pay?

Answers

The percent decrease in pay, given the amount the staff started making after the merge, is 10 %

How to find the percent decrease in pay ?

To find the percent decrease in pay, you first need to find the absolute decrease in pay, since the boutique merged with another store. This absolute decrease is:

= Historical pay - Current pay

= 10 - 9

=  $ 1

The percentage decrease in pay would then be :

= Absolute decrease in pay / Historical pay x 100 %

= 1 / 10 x 100 %

= 10 %

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The following graph represents a population with a Normal distribution: Area=0.3085 80 87 Which of the following statements we CANNOT conclude based on the graph? a. The proportion of this population that lies at or below x=87 is 0.6915 b. The proportion of this population that lies at or below x=87 is 0.3085 c. The proportion of this population that lies at or above x=87 is 0.3085 d. The standard deviation of this population is greater than 7

Answers

The Correct answer is option b. The proportion of this population that lies at or below x=87 is 0.3085.

We can conclude that the proportion of this population that lies at or below x=87 is 0.6915 because the graph shows that the area under the curve to the left of x=87 is 0.3085. However, we cannot conclude that the proportion of this population that lies at or below x=87 is 0.3085 because this statement is contradictory to the information provided in the graph.

The area under the curve to the left of x=87 represents the proportion of the population that lies at or below x=87, so it cannot also be equal to the proportion of the population that lies at or above x=87.

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I didn’t understand the question answer please

Answers

The value of p is 7 and the median number of liters is 18.

What is mean and median?

Simply put, the mean is the average of the values in the given set.

When a collection of data is supplied and ordered in order, the median is the middle value.

Given that the mean number of liters is:

The mean is represented as follows:

[tex]m = \frac{16(11) + 17(10) + 18(p) + 19(4) + 20(8)}{11+10+p+4+8} = 17.7[/tex]

[tex]m=\frac{582+18p}{33+p} = 17.7[/tex]

[tex]582 +18p = 17.7(33+p)[/tex]

[tex]582 +18p = 584.1 + 17.7p\\18p-17.7p = 584.1 - 582\\0.3p = 2.1\\p = 7[/tex]

The value of p is 7.

Now arrange the table in ascending order for the motorist.

The median represents the median value and hence the median is 18.

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You need 12 ounces of ground beef to make one batch of enchiladas. How many batches of enchiladas can you make?

Answers

Answer:

Step-by-step explanation:

This would depend on how much ground beef you have. In order to determine how many batches of enchiladas you can make, you would divide the total amount of ground beef you have by the number of ounces needed per batch.

For example, if you have 24 ounces of ground beef, you could make 2 batches of enchiladas because 24 divided by 12 equals 2.

Which pair of expressions represents inverse functions?

4x-3x/4x-2 and x+2/x-2

4x+2/x-3 and 5x+3/4x-2

2x+5 and 2+5x

x+3/4x-2 and 2x+3/4x-1​

Answers

Answer:2  hope this helps it was right on my test

Step-by-step explanation: it was right on the test i took

PLEASE HELP, EXPLAIN TOO

Answers

Answer:

Step-by-step explanation:

Graph the following system of equations.

2x + 6y = 12
6x + 18y = 18

What is the solution to the system?

There is no solution.
There is one unique solution, (−6, 2).
There is one unique solution, (3, 0).
There are infinitely many solutions.

Answers

Answer:

A-There is no solution

Step-by-step explanation:

if you put 2x-6 into a calculator you'll get -12 and if you add that to 6x2 you'll end up with zero.

if you do 6x-6 you get -36 add that to 36 you'll get zero again

so (-6,2) is incorrect

if you do 2x3+6x0 you get you'll get 6

if you do 6x2+18x0 you get 12

so (3,0) is incorrect

it wouldn't be infinitely many solutions either because the equations would have to be the same therefore the answer is

A-there is no solution

That's the best I can explain it sorry if it's confusing.

also, the X in this is for the multiplication in case you're confused have a nice day/night :)

Note that there is no solution for the system of equations given above (Option A)

What is a system of equations?

A set of simultaneous equations is a finite collection of equations for which common solutions are sought in mathematics. It is also known as a system of equations or an equation system.

Given:

2x + 6y = 12 .......................1

6x + 18y = 18 ......................2


We will attempt to solve the above system of equations using Substitution Method.

In equation (1) , makes x the subject of the expression. Thus,

2x + 6y = 12

2x + 6y + (−6y) = 12+ (−6y) (Add -6y to both sides)

2x = −6y + 12

2x/2 = -6y + 12/2 (Divide both sides by 2); thus

x = -3y + 6  ..........................(3)

Substitute the above expression 3 into (2) above. That is:

6x + 18y = 18

6(−3y+6) + 18y = 18

-18y + 36 + 18y = 18

36 = 18 (Add -36 to both sides);

0 = - 18

Since the above expression is illogical, that is -18 ≠ 0, therefore, we must conclude that the above problem has no solution.

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If a^1/2=r then which of the following are true statements?

Answers

For the given expressions option A and option C are true statements.

What are exponents?

The exponent of a number indicates how many times a number has been multiplied by itself. For instance, 34 indicates that we have multiplied 3 four times. Its full form is 3 3 3 3. Exponent is another name for a number's power. It could be an integer, a fraction, a negative integer, or a decimal.

Given the expression as [tex]a^{\frac{1}{2} } = r[/tex]:

Powering the equations on both sides by n we have:

[tex]a= r^n[/tex]

Also, taking the nth root we have:

[tex]\sqrt[n]{a} = r[/tex]

Hence, for the given expressions option A and option C are true statements.

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Complete the square to re-write the quadratic function in vertex form: y=x^2+x-8

Answers

The equation in completing the square method is x= 3.15 or -3.15

What is completing the square method?

Completing the square is a method of solving a quadratic equation where by the left hand side of the equation is made a perfect square.

The given equation is y=x^2+x-8

Using the completing the square method, take the constant to the RHS to get

x²+x=8

Then make the LHS a perfect square

x²+x+1/4 = 8+1/4

Factorize the RHS and simplify RHS to have

x²+5/4x +1/4=(32+1)/4

Factorize (x²+1/4c)² = 32/4

(x + 1/4)= ±√33/4

x+1/4 =±√8.25

x=--.025+2.9 or -0.25-2.9

x = 2.65 or -3.15

Thertefore, by completing the square x = x = 2.65 or -3.15

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What is the surface area of the shape below?

Answers

Answer: 336

Step-by-step explanation:

6 x 8 = 48 x 7 =336

6 times 7 equals 42. Then 42 times 8 then equals 336.

12. In 1/2 hour, a bicyclist traveled 20 kilometers. What was the bicyclist's average
speed?
60 km
60 km/h
40 km
40 km/h

Answers

Therefore , the solution of the given problem of speed comes out to be

40 km/h is the average speed of bicyclist.

What exactly is speed?

We can determine how fast that anything is traveling by looking at it from a distance. The amount of distance an object can go in a given length of time depends on its speed. Velocity is calculated using the formula velocity = distance/time. The three most used units of speed are meters per second (m/s), kilometers per hour (km/h), and miles per hour (mph) (mph).

Here,

Given : 1/2 hour

distance travelled by bicyclist = 20 kilometers.

Thus ,

Using distance / speed formula:

=> Speed  = distance/time

=> Speed = 20 / 1/2

=> Speed = 20 * 2

=> Speed  =40

So , 40 km/h is the average speed of bicyclist.

Therefore , the solution of the given problem of speed comes out to be

40 km/h is the average speed of bicyclist.

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Lisa eats a bowl of cereal every morning for breakfast. She has 3/4
gallon of milk. She uses 3/32 gallon of milk for each bowl. How many
bowls of cereal can Lisa eat? If needed, simplify your answer.

Answers

Let’s expand the fraction so it has common denominators. 3/4 times multiply both the numerator and denominator by 8. Now that’s 24/32.
Now we have fractions with equal denominators making it easier to work with.
3/32 goes in 24/32 a solid eight times so she’ll be able to eat 8 bowls of cereal before it runs out. Hope this helps.

Question in image. Need help answering all 3 parts.

Answers

[tex]~~~~~~~~~~~~ \textit{Amortized Loan Value} \\\\ pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left( 1+ \frac{r}{n}\right)^{-nt}} \right]\implies pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left(\frac{n}{n+r}\right)^{nt}} \right][/tex]

[tex]~~~~~~ \begin{cases} P= \begin{array}{llll} \textit{original amount deposited}\\ \end{array}\dotfill & \begin{array}{llll} 48000 \end{array}\\ pymt=\textit{periodic payments}\\ r=rate\to 6.1\%\to \frac{6.1}{100}\dotfill &0.061\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &6 \end{cases}[/tex]

[tex]pymt=48000\left[ \cfrac{\frac{0.061}{12}}{1-\left(\frac{12}{12+0.061}\right)^{12 \cdot 6}} \right] \\\\\\ pymt=48000\left[ \cfrac{\frac{61}{12000}}{ ~~ \frac{18249137}{59666181} ~~ } \right] \implies {\Large \begin{array}{llll} pymt \approx 797.77 \end{array}}[/tex]

well, Linda is paying that much every month for 6 years or namely 72 months, so the total for those 72 months will simply be 72(797.77) ≈ 57439.44.

hmmmm what's the interest?  well, if we simply subtract the principal from the total amount Linda is paying that'll be 57439.44 - 48000 ≈ 9439.44.

High school students from grades 9–10 and 11–12 were asked to choose the kind of band to have play at a school dance: rap, rock, or country.

Their choices were as follows:
Grades 9–10—Rap: 40; Rock: 30; Country: 55
Grades 11–12—Rap: 60; Rock: 25; Country: 35

Which of the following is a correct two-way frequency table for the data?

Answers

The correct two - way frequency table for the data on High School Students, and the kind of band they want to play at the school dance, is:

                                                     Rap          Rock           Country      Total

Grades 9 - 10                                40              30                55              125

Grades 11 - 12                                60              25                35              120

Total                                              100              55                90             245

Option A is therefore correct.

How to construct a two-way frequency table ?

In a two-way frequency table, there will be totals for both the rows and the columns.

The totals for the rows in this instance are:

Grade 9 - 10 totals :

= 40 + 30 + 55

= 125

Grade 11 - 12 :

= 60 + 25 + 35

= 120

The totals for the columns are:

Rap totals :

= 40 + 60

= 100

Rock :

= 30 + 25

= 55

Country :
= 55 + 35

= 90

Two-way frequency tables allow for us to be able to conclude on the event described by looking at totals from both the columns and the rows. This gives a clearly understanding on preferences and categories.

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Bert wears a pedometer that tracks the number of steps he takes. Before mowing the lawn this morning, he predicted he'd take 1,800 steps while doing the job. His prediction was 4% lower than the actual number of steps he took. How many steps did Bert actually take while mowing the lawn? ​

Answers

The number of steps that Bert actually took while mowing the lawn is given as follows:

1875 steps.

How to obtain the normal price of the car?

The number of steps that Bert actually took while mowing the lawn is obtained applying the proportions in the context of this problem.

His prediction was 4% lower than the actual number of steps he took, hence we have that 100 - 4 = 96% of the total number x is equivalent to 1800 steps.

Hence the equation that is used to obtain the value of x is defined as follows:

0.96x = 1800

x = 1800/0.96

x = 1875.

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The table below shows the number of all-time wins and losses for three basketball teams.

Wins Losses

Team 1. W 2,222 1,916L

Team 2. W1,392 L928

Team 3 W2,289 L1,526

a. Determine which two teams’ win/loss records are proportional. Show all work to justify your answer.

Answers

The two teams whose win/loss records are proportional will be team 1 and term 2.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The table below shows the number of all-time wins and losses for three basketball teams.

                   Wins          Losses

Team 1.      2,222           1,916

Team 2.      1,392           928

Team 3.     2,289          1,526

The ratio of the number of wins to losses for each team is calculated as,

For team 1, then we have

⇒ 2,222 / 1,916

⇒ 1.1597

For team 2, then we have

⇒ 1,392 / 928

⇒ 1.5

For team 3, then we have

⇒ 2,289 / 1,526

⇒ 1.5

The two teams whose win/loss records are proportional will be team 1 and term 2.

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Calculate the amount of zakat on 10 tola gold and 40 tola silver if the rate of gold is Rs
40,000 per tola and the rate of silver is Rs 5000 per tola.

Answers

The amount of zakat on gold and silver is Rs 10000 and Rs 5000 respectively.

What is percentage?

As it is clear from the term per cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given:

10 tola gold and 40 tola silver and the rate of gold is Rs 40,000 per tola and the rate of silver is Rs 5000 per tola.

Calculate the amount of gold and silver as shown below,

Amount of gold = 10 × 40000

Amount of gold = Rs 400000

Amount of silver = 40 × 5000

Amount of silver = Rs 200000

Calculate the amount of zakat on gold and silver as shown below,

Amount of zakat on gold = 2.5 × 400000 / 100  (zakat rate is 2.5%)

Amount of zakat on gold = 10000

Amount of zakat on silver = 2.5 / 100 × 200000

Amount of zakat on silver = 5000

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Without Computing, decide whether the value of each expression is much smaller than one, close to one, or much greater than one.​ 50 1/3 divided 50 1/4

Answers

The category of the numbers are

The smaller number is 50 1/4The greater number is 50 1/3The numbers are closer to one another

How to determine the category of each expression

From the question, we have the following parameters that can be used in our computation:

50 1/3 divided 50 1/4

This means that the individual numbers are

50 1/3 and 50 1/4

From the above numbers, we have

Integer part = the same number (50)Numerator = the same number (4)Denominator = different numbers (3 and 4)

The greater the denominator, the smaller the number

This means that:

The greater number is 50 1/3, the smaller number is 50 1/4 and the numbers are close to one another

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URGENT!!! HELP
Translate the sentence into an equation.
Three less than the product of 9 and a number equals 2.

Answers

First question: 9-3
Second question: X=2

Select the correct answer.
Graph function f.

Which key features apply to the graph?


The graph has a y-intercept at and is increasing over the interval .

The graph has a y-intercept at and is decreasing over the interval .

The graph has a y-intercept at and is decreasing over the interval .

The graph has a y-intercept at and is increasing over the interval .

Answers

The graph has a y-intercept at (0, 1) and is decreasing over the interval. Then the correct option is C.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The exponential function is given below.

f(x) = (1/3)ˣ

The value of the function at x = 0 will be given as,

f(0) = (1/3)⁰

f(0) = 1

As the value of the variable 'x' increases, then the value of the variable 'y' decreases. Then the function is a decreasing function.

Then the correct option is C.

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Based on the graph, which of the following best describes the general trend in music album sales from 1997 through 2009 ?
A) Sales generally increased each year since 1997.
B) Sales generally decreased each year since 1997.
C) Sales increased until 2000 and then generally decreased.
D) Sales generally remained steady from 1997 through 2009.

Answers

Sales increased until 2000 and then generally decreased. Hence, option C is the most appropriate answer to this question.

From the given graph,

The 0 on the x-axis denotes the year 1997, the 1 on the x-axis denotes 1998, and so on.

We can clearly see that the graph is neither steadily increasing nor steadily decreasing. Hence, options A and B are ruled out.

Sales never remained steady from 1997 to 2009 since the graph showed upward and downward movements. Hence, option D is wrong.

We can see the Graph is moving up from 1997 to 2000 and then moving down from 2000 to 2009.

Thus, sales increased from 1997 to 2000 and decreased from 2000 to 2009, so we can say they generally decreased after 2000.

Hence, option C is the correct answer.

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The complete question is -

Based on the graph, which of the following best describes the general trend in music album sales from 1997 through 2009?

A) Sales generally increased each year since 1997.

B) Sales generally decreased each year since 1997.

C) Sales increased until 2000 and then generally decreased.

D) Sales generally remained steady from 1997 through 2009.

Express 0.0000018 in scientific notation.

Answers

Answer:

1.8 × 10-6.

Step-by-step explanation:

Huh bubba do this c.

36/-18 will result in a negative, positive, or neither number

Answers

Answer:negative it would be -2

Step-by-step explanation:

Answer:

negative.

Step-by-step explanation:

36/-18=-2

Which of the following inequalities matches the graph?
The correct inequality is not listed.
5 x+y ≥ 1
5 x+y ≤ 1
5 x-y ≥ 1

Answers

The inequality which correctly represents the graph as required to be determined is; 5x - y ≥ 1.

Which inequality best represents the graph given?

It follows observation that the two point which can be used to evaluate the slope are; ( 2, 9 ) and ( -1, -6 ).

Hence, slope, m of the boundary line is;

m = ( 9 - (-6) ) / (2 - (-1) )

m = 15 / 3 = 5.

Hence, using the point slope equation; we have;

y - 9 = 5 ( x - 2 )

y = 5x - 1

On this note, the equation of the boundary line is; y = 5x - 1.

However, in the context of inequalities, since the region below the line is shaded and the boundary line is solid, it follows that the required inequality is;

y ≤ 5x - 1

Hence, by rearranging, we have that;

5x - 1 ≥ y

Therefore, the inequality which correctly repeat the graph is; 5x - y ≥ 1.

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$1,200 , 3.9% , 8 months.

_________

Answers

When the amount is accrued by the interest given for the number of months given, the amount becomes $ 1, 231. 56

How to find the accrued amount ?

The accrued amount when given the amount, the interest rate, and the number of periods, can be found by using the future value formula which is :

= Amount x ( 1 + rate ) ^ number of periods

The amount is $ 1, 200

The rate is given as an annual rate and so needs to be converted to a periodic rate in months :

= Rate / Number of months in year

= 3. 9 % / 12

= 0. 325 %

The future value becomes :

= 1, 200 x ( 1 + 0. 325 %) ⁸

= 1, 200 x 1. 00325 ⁸

= 1, 200 x 1.026297680

= $ 1, 231. 56

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The sum of five times a number x and forty-five is sixty.

Answers

Answer: 5x+45=60 or 45x+5=60

Step-by-step explanation:

The sum of five times a number= 5x

times a number= x or n

is= equals sign

When we put it all together we get 5x+45=60

edit: If that is wrong try 45+5x=60

Hope this helps :)

When the equation x - 1/2 - a/4 = 3a/4 is solved for x in terms of a, the solution is

Explanation too Please

Answers

The equation which represents the solution for x in terms of a as required is; Choice 4; 2a + 1.

Which equation represents x in terms of a as required?

As evident in the task content; the given equation is to be solved for the variable, x in terms of a;

( x - 1 ) / 2 - a / 4 = 3a / 4

( x - 1 ) / 2 = 3a / 4 + a / 4

(x - 1) / 2 = a

x - 1 = 2a

x = 2a + 1.

Ultimately, the answer choice which correctly expresses x in terms of a is; Choice 4; 2a + 1.

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Rider's college application says, "I waive my right to review or access letters and statements of recommendation written on my behalf." Is this normal and should I choose yes or no? Which of the following is true aboutThe Great War?A. Britain was not really affected by it since they are anisland nation.B. While traditions were changing, the class system wasstronger than ever.C. It was preceded with social upheaval like rumblingsbefore an earthquake.D. The war had absolutely no effect on literature since itwas already focused on social issues. What two groups supported the US governments decision to enter World War 1 omicsSelect from the drop-down menu to correctly complete the sentence.The Middle Passage stretched across the IndianChoose...PacificIndianArcticAtlanticOcean. All of the following increase genetic variation EXCEPT A. crossing over. B. random fertilization. C. independent assortment. D. mitosis. E. mutation. 19. The two major types of markets are the: A. primary market and the secondary market. B. B2B market and the C2C market. C. consumer market and the business-to-business market. D. target market and the niche market. 20. By employing a relationship marketing strategy, Jocelyn found success as an entrepreneur. The goal of this strategy is to: Aluse radio and television advertising to attract new customers. B work closely with existing customers to better satisfy their wants and needs. C.target large market segments of potential customers by working closely with a variety of suppliers. D. communicate to buyers the advantages offered by your firm's low prices and standardized products. A. Ps. 21. A firm's marketing mix consists of 4 major components, which are generally referred to as the four: B. Keynotes to success C. Intangibles of marketing D. Persuaders 22. Which of the following statements is the most accurate assessment of the role packaging plays in product offerings? A. The importance of packaging has diminished as the use of the Internet has grown. B. While packaging plays an important role in marketing goods, it is not relevant to the marketing of services. C. Effective packaging eliminates the potential of product linbility suits. D. The importance of packaging is greater now than ever. 23. The combination of all the factors that consumers evaluate when deciding whether or not to buy a good or service is called a A. total product offer. B. product mix. C. product differentiation D. product package 24. When consumers calculate the value of a product, they: A. subtract the cost of production from the market price. B. eliminate all nontangible elements that might affect their perception of the product. C. look at the benefits the product provides then subtract the cost D. identify the variable and the fixed components of the product's benefits. 25. PMI is a: A. computer program used to help managers write mission statements. B. statistical technique used in the controlling process. C. problem solving technique used to evaluate possible solutions to a problem D. rule of thumb used to determine how many employees should be managed by any single manager