Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.

Two box plots shown. The top one is labeled Males. Minimum at 0, Q1 at 1, median at 20, Q3 at 25, maximum at 50. The bottom box plot is labeled Females. Minimum at 0, Q1 at 5, median at 6, Q3 at 10, maximum at 18 and a point at 43

Part A: Estimate the IQR for the males' data. (2 points)

Part B: Estimate the difference between the median values of each data set. (2 points)

Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)

Part D: Provide a possible reason for the outlier in the data set. (2 points)

Answers

Answer 1

Answer:

The formula for iqr is q3 - q1

24

Step-by-step explanation:

Answer 2

The box plot is a visual way of presenting a dataset where the rectangle is used to represent the quartiles.

The IQR of the male dataset is 24.The difference in median of both datasets is 14.The best measure of center to use for the female box plot is the median. The best measure of center to use for the male box plot is the mean.A possible reason for an outlier is human error.

The given parameters are:

Male:                                                               Female

[tex]Minimum = 0[/tex]                                                 [tex]Minimum = 0[/tex]

[tex]Q_1 = 1[/tex]                                                              [tex]Q_1 = 5[/tex]

[tex]Median = 20[/tex]                                                    [tex]Median = 6[/tex]

[tex]Q_3 = 25[/tex]                                                            [tex]Q_3 = 10[/tex]

[tex]Maximum = 50[/tex]                                               [tex]Maximum = 18[/tex]

A. IQR  for male dataset

The IQR is calculated as follows:

[tex]IQR = Q_3 - Q_1[/tex]

For the male's data:

[tex]IQR = 25-1[/tex]

[tex]IQR = 24[/tex]

Hence, the IQR of the male dataset is 24.

B. Difference in median values

We have:

[tex]Median = 20[/tex]  ----- Male dataset                                                    

[tex]Median = 6[/tex] ----- Female dataset

So, the difference (d) is:

[tex]d = 20 - 6[/tex]

[tex]d = 14[/tex]

Hence, the difference in median of both dataset is 14.

C. Best measure of center

The female box plot (see attachment) has an outlier. This means that the measure of center to use for the female dataset is the median.

The male box plot has no outlier; this means that the mean can be used as a measure of center for the male box plot

D. Reason for outlier

There are several reasons that could cause an outlier in a dataset. One of the reasons is human error during data entry

Read more about box plots at:

https://brainly.com/question/1523909

Use The Box Plots Comparing The Number Of Males And Number Of Females Attending The Latest Superhero

Related Questions

Math models helpppp plss if you know about math models answer this pls

Answers

Answer:

A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences and engineering disciplines, as well as in non-physical systems such as the social sciences.

which choices are equivalent to the exponential expression below? check all that apply. 5/3^3
Answers:
5^3/3^3
3 x (5/3)
25/9
15/9
5/3 x 5/3 x 5/3
125/27

Answers

Answer:

5/3 x 5/3 x 5/3

125/27

5^3/3^3

3 x (5/3)

Step-by-step explanation:

(5/3)^3 = 5×5×5/3×3×3 = 125/27.

HELLLLLPPPPP FASTTTT
What is the best estimate for the value of the expression? (StartFraction 34 over 8 EndFraction minus StartFraction 16 over 3 EndFraction) minus StartFraction 14 over 9 EndFraction Negative 3 Negative 2 and one-half 7 7 and one-half

Answers

Answer:

The best estimated value of the expression is negative 3

Step-by-step explanation:

What is the best estimate for the value of the expression? (StartFraction 34 over 8 EndFraction minus StartFraction 16 over 3 EndFraction) minus StartFraction 14 over 9 EndFraction

Solution

(34 / 8) - (16 / 3) - (14 / 9)

= 34/8 - 16/3 - 14/9

Find the sum

= 306 - 384 - 112 / 72

= -190 / 72

= -2 46 / 72

= -2 23 / 36

= -2.6389

Approximately -3

The best estimated value of the expression is negative 3

Answer:

The answer is -2 1/2,

Step-by-step explanation:

The number of patients treated at Dr. Jason's dentist office each day was recorded for seven days: 3, 8, 11, 22, 17, 5, 4. Using the given data, find the mean, median, and mode for this sample. A. mean: 10, median: 8, mode: none B. mean: none, median: 8, mode: 10 C. mean: 8, median: 10, mode: none D. mean: 14, median: 10, mode: 8

Answers

Answer: A. mean: 10, median: 8, mode: none

Step-by-step explanation:

Given : The number of patients treated at Dr. Jason's dentist office each day was recorded for seven days: 3, 8, 11, 22, 17, 5, 4.

First we arrange it order.

3, 4, 5, 8, 11, 17, 22

Mean = (Sum of observations) ÷ (Number of observations)

Number of observations = 7

Sum of observations = 3+4+5+8+11+17+22 =70

Mean = 70 ÷7 = 10

Median = Middle-most value

= 8

Mode = Most repeatted value

= none

Hence, the mean, median, and mode for this sample = A. mean: 10, median: 8, mode: none

when a watch is sold at ksh.126 a loss of x% is made if sold at ksh.154 aprofit of x%is realized .find the buying price​

Answers

Answer:

ksh 140.

Step-by-step explanation:

when a watch is sold at ksh.126 a loss of x%. This can be summarised as follow:

Selling price (Sp) = ksh 126

Percentage loss = x%

Cost price (Cp) =?

Percentage loss = Cp – Sp/Cp x 100

x% = Cp – 126/Cp .......(1)

if sold at ksh.154 a profit of x% is realized. This can be summarised as follow:

Selling price (Sp) = ksh 154

Percentage gain = x%

Cost price (Cp) =?

Percentage gain = Sp – Cp/Cp x 100

x% = 154 – Cp/Cp..... (2)

Equating equation 1 and 2, we have:

x% = Cp – 126/Cp .......(1)

x% = 154 – Cp/Cp..... (2)

Cp – 126/Cp = 154 – Cp/Cp

Cross multiply

Cp(Cp – 126) = Cp(154 – Cp)

Cancel out Cp

Cp – 126 = 154 – Cp

Collect like terms

Cp + Cp = 154 + 126

2Cp = 280

Divide both side by 2

Cp = 280/2

Cp = 140

Therefore, the cost price otherwise known as the buying price is ksh 140.

) Martha went to the store with $75.00. She bought 3 pairs of socks for $4.00 each, she bought 2 shirts for $20.00 each, and she bought a skirt for $21.00. How much money did she have left?

Answers

She would have $2 left.

Answer:

She had $2.00 left.

Step-by-step explanation:

PEMDAS

$75 - [(3 x $4) + (2 x $20) + $21 ]

$75 - [ $12 + $40 + $21]

$75 - [ $52 + $21]

$75 - $73

$2

In the 2004 Olympic games Russia, China and the United States won a total of 96 gold medallions if the United States won 4 more medals than China and the medals achieved by the United States and Russia are twice those obtained by China determine the number of gold medals won by Russia

Answers

Answer:

28

Step-by-step explanation:

x = medals won by Russia

y = medals won by China

z = medals won by United States

Write a system of equations:

x + y + z = 96

z = y + 4

x + z = 2y

Substitute the second equation into the first and third:

x + y + y + 4 = 96

x + y + 4 = 2y

Simplify:

x + 2y = 92

x + 4 = y

Substitute for y:

x + 2(x + 4) = 92

x + 2x + 8 = 92

3x = 84

x = 28

Russia won 28 medals.

Which means China won 32 medals and the US won 36 medals.

select the shape of the graph of this two variable equation. y=4x^(2)-1

Answers

Answer:

The highest power of the equation is 2, since the equation is y = 4x^2 - 1. That means that the graph is a parabola. And because the 4 is positive, the parabola curves into a smile.

You can use the Math is Fun Function and Calculator to graph the parabola.

Hope this helps!

Is the relation a function? Explain

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:

No, it is not a function.

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

If we preform a vertical line test on the graph, then the line would pass the relation multiple times. This means that it is not a function. See the picture attached.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

HEEEEEEEEEEELLLLLLLLLLPPPPPPP!!!!!!!!! QUICK!!!!!!

Find the coordinates of the image of M(−1, 5) after the translation (x, y)→(x+3, y−2).

Thank you!!

Answers

Answer:

To find a translation image of a shape, you can use the following rule or formula. Suppose you want to translate or slide point P a units horizontally and b units vertically. Then, change the x-values and y-values of the coordinates of P. The points of the triangle of are A(-3, 1), B(-4, 3), and C(-2, 4).

find the area of quadrilateral ABCD.

Answers

The correct answer is B. 14.89 units squared.

Find the area of each triangle and add them together. Heron’s formula explains it better than me. Lol

Answer:

           14.89 units²

Step-by-step explanation:

[tex]P_{ABCD}=P_{ACD}+P_{ABD}[/tex]

We can use Heron's formula to calculate area of triangles:

[tex]P_\triangle=\sqrt{s(s-a)(s-b)(s-c)}[/tex]   where:

a, b, c  - sides of triangle

s  - semi-perimetr of triangle  {(a+b+c):2}

ΔACD:

a = 4.39 ,   b = 3.42  ,  c = 4.57

s = (4.39 + 3.42 + 4.57)÷2 = 12.38÷2 = 6.19

[tex]P_{ACD}=\sqrt{6.19(6.19-4.39)(6.19-3.42)(6.19-4.57)}\\\\P_{ACD}=\sqrt{6.19\cdot1.8\cdot2.77\cdot1.62}=\sqrt{49.9986108}=7.070969579...\\\\P_{ACD}\approx7.071[/tex]

ΔACD:

a = 5.44 ,   b = 7.84 ,   c = 3.42

s = (5.44 + 7.84 + 3.42)÷2 = 16.7÷2 = [tex]P_{ACD}=\sqrt{8.35(8.35-5.44)(8.35-7.84)(8.35-3.42)}\\\\P_{ACD}=\sqrt{8.35\cdot2.91\cdot0.51\cdot4,93}=\sqrt{61.09371855}=7.81624708...\\\\P_{ACD}\approx7.816[/tex]

[tex]P_{ABCD}=P_{ACD}+P_{ABD}\\\\P_{ABCD}\approx7.071+7.816 = 14.887\\\\P_{ABCD}\approx 14.89[/tex]

Find each rate and unit rate.
420 miles in 7 hours

Answers

Answer:

60 miles per hour.

Step-by-step explanation:

420 miles in 7 hours is the same thing as (420 / 7) = 60 miles per hour.

Hope this helps!

Answer:

60 miles / hour

Step-by-step explanation:

The unit rate will be the number of miles in 1 hour. Therefore, we must divide the miles by the hours.

miles/hours

We know it is 420 miles in 7 hours.

420 miles / 7 hours

Divide 420 by 7

420/7=60

60 miles/ hour

The unit rate is 60 miles per hour.

solve 2<2x+4<10 for x

Answers

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Let's solve your inequality step-by-step.

[tex]2<2x+4<10[/tex]

[tex]2 + -4 < 2x + 4 + -4 < 10 + -4[/tex] (Add -4 to all parts)

[tex]-2 < 2x < 6[/tex]

[tex]\frac{-2}{2} < \frac{2x}{2} < \frac{6}{2}[/tex] (Divide all parts by 2)

[tex]-1 < x < 3[/tex]

So the answer is : [tex]-1 < x < 3[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Describe fully the single transformation that takes shape A to shape B.
It is a ......
angle ...... degress clockwise
about the point.....

Answers

Answer: It is a Rotation Angle 90 Degrees clockwise about the point (3,4)

Step-by-step explanation:

Mark the point (3,4) with your finger and turn your phone once to the right Your old shape is where your new shape your be now. That’s rotation.

Can someone answer this pls

Answers

Answer:

Domain is [tex]x \ge d[/tex]

You'll check the box labeled "x", the box labeled [tex]\ge[/tex] and the box labeled "d". So you'll have 3 boxes checked.

=======================================================

Explanation:

We cannot have a negative number under the square root, and get some real number output. For example, the result of [tex]\sqrt{-4}[/tex] isn't a real number.

That means we need to have the "x-d" under the square root to be 0 or larger.

[tex]x-d \ge 0\\\\x-d+d \ge 0+d\\\\x \ge d[/tex]

The domain is [tex]x \ge d[/tex] telling us that x = d is the smallest x value we can plug in

So that's why we check off the box labeled "x", the box labeled [tex]\ge[/tex] and the box labeled "d" as shown below.

Which number is in the 3rd position after ordering in
descending order. V220,-10, V100, 11.5

Answers

Answer:

√100

Step-by-step explanation:

Given the following numbers: √220, -10, √100, 11.5,

Let's arrange the numbers from the largest to the smallest (in descending order).

Note: √220 ≈ 14.8

√100 = 10

From the largest to the smallest number, we have: √220, 11.5, √100, -10

Therefore, the number in the third position is √100

The Central Limit Theorem says that when sample size n is taken from any population with mean μ and standard deviation σ when n is large, which of the following statements are true? The distribution of the sample mean is approximately Normal. The standard deviation is equal to that of the population. The distribution of the population is exactly Normal. The distribution is biased. A I and II B I only C II and III D I, III, and IV E II only

Answers

Answer:

The correct option is;

B. I only

Step-by-step explanation:

The central limit theorem states that when adequately large random samples are taken from a population that has a mean, μ, and standard deviation, σ, the distributions of the sample means of individual samples taken will be more or less (approximately) normally distributed

The central limit theorem is correct for both normal and skewed populations such that estimates can be made about the population mean based on available sample mean information.

Answer:

II only

Step-by-step explanation:

I got the answer from Chegg, took the test, and got it right! :)

What is the sum of the geometric series below?

3+1+1/3+1/9+1/27

Answers

Answer:

The correct answer for your geometric series is 4 13/27 (mixed form) or 121/27.

Step-by-step explanation:

Answer:

Step-by-step explanation:

r =term 1 ÷ term 2 = 1 ÷ 3 = 1/3

a =term 1 = 3

n = 5

[tex]Sum = \frac{a(1-r^{n})}{1-r}[/tex]

        [tex]= \frac{3*(1-(\frac{1}{3})^{5}}{1-\frac{1}{3}}\\\\=\frac{3*(1-\frac{1}{243})}{\frac{2}{3}}\\\\=\frac{3*\frac{242}{243}}{\frac{2}{3}}\\\\=3*\frac{242}{243}*\frac{3}{2}\\\\=\frac{121}{27}\\\\=4 \frac{13}{27}[/tex]

answer for brainiest

Answers

Answer:

Hello

answer :B and C

Step-by-step explanation:

√25=5 is an integer

b) is not an integer

c) is not an integer=0.75

d) is an integer

1+2+6+1+4+45+7474747448489

Answers

Answer:

7474747448548

Step-by-step explanation:

I hope this helps

round to the nearest underlined place 18 904 A. 18,000 B. 19,000 C. 20,000 D. 18,920

Answers

Answer:

B 19,000

Step-by-step explanation:

;------------------------;

A ship travels due north for 100 miles from point C to point A. From point A the ship travels to point B at 60° east of north. From point B, the ship returns to point C heading 45° west of south. What approximate distance did the ship travel from point A to point B? How far does it travel in total?

Answers

Answer:

AandB=80miles

Total=240miles

Step-by-step explanation:

Draw the figure first indicating the figures then find the distance each degrees then find the total

The distance ship travels from A to B is 273.2 miles and total distance covered by ship is  707.82 miles.

What is laws of sines?

The law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal. The sine law, sine rule, and sine formula are additional names for the sine law.

The side or unknown angle of an oblique triangle is found using the law of sine. Any triangle that is not a right triangle is referred to as an oblique triangle. At least two angles and their corresponding side measurements should be used at once for the sine law to function.

Given distance from C to A = 100 miles north

From B to A ship travels 60° east of north,

and From B to C 45° west of south,

the figure for problem is attached,

from figure we can  calculate the angles of A, B and C

so ∠A makes supplementary with 60°

∠A + 60° = 180°

∠A = 120°

for ∠B we need to draw an imaginary perpendicular on the line extending from A, we get

∠B + 45° + 30° = 90° (30° is angle of imaginary right triangle)

∠B = 90 - 75 = 15°

and ∠C can be found by,

∠A + ∠B + ∠C = 180°

∠C = 180 - 15 - 120

∠C = 45°

now use sine formula for triangles,

sinA/a = sinB/b = sinC/c

where A, B and C are angles of triangle and a, b and c are length of opposite side of angle A, B and C respectively.

a = BC, b = AC, and c = AB

so

sinA/BC = sinB/AC = sinC/AB

we have AC = 100 miles

substitute the values

sinC/AB = sinB/AC

sin(45)/AB = sin(15)/100

AB = 100/(√2sin(15))

AB = 100/0.3659

AB = 273.298 miles

and sinA/BC = sinB/AC

BC = AC sinA/sinB

BC = 100(sin 120/sin15)

BC = 100(0.866/0.2588)

BC = 100 x 3.3462

BC = 334.62 miles

total distance = AB + BC + AC

total distance = 334.62 + 273.2 + 100

total distance =  707.82 miles

Hence the distance from A to B is 273.2 miles and total distance is 707.82 miles.

Learn more about  laws of sines;

https://brainly.com/question/17289163

#SPJ2

Find the common ratio of the geometric sequence: 3,4,
16/3,...
A.1
B.3/4
C.4/3
D.-1

Answers

Answer:

C

Step-by-step explanation:

The common ratio r of a geometric sequence is calculated as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{4}{3}[/tex] → C

Answer:

C)

Step-by-step explanation:

Geometric Sequence:

3, 4 , [tex]\frac{16}{3}[/tex]......

Common ratio = [tex]\frac{second term}{first term}[/tex]

  = [tex]\frac{4}{3}[/tex]

NEED HELP ASAP WILL MARK BRAINLIEST

Answers

Answer: answer one is hard to read             Answer 2: 0.0020661157

Step-by-step explanation:

Answer:

1. 2.5% of 14000= 350

2. 27.5% of 1760= 484

If the average of 5, 8, b, 9 and 4 is 7. Find the value of b.

A. 9 B. 8 C. 7 D. 5​

Answers

So our set of numbers is  5,8,b,9,4 . And we know the average is 7. So first, you have to add all the numbers in the set : 5+8+9+4 which gives you 26. We also know that to get the average of a set of numbers you have to add all the numbers and divide that sum by the how many numbers you have, in thsi case we have 5 numbers including b . So our equation now is : 26+b÷5=7. And if you plug in 9 for b you get 26+9÷5=7 and 26+9÷5  does equal 7 so therefore A is your answer

Someone pls help & at least try to show a little work . I will be marking someone brainliest ! & thank you sm i appreciate you !

Answers

Answer:

4+7x=32

7x=32-4

7x=28

x=4

Step-by-step explanation:

Answer:

This is how I calculated it.

If the total is $912

And the equipment costs $612.

I did $912- 612= $300 (There's only $300 remaining after purchasing the equipment)

Each uniform costs $25

So I did $300:25= 12

The School purchased 12 uniforms.

Have a nice day.

can some1 help me out with this problem

Answers

Answer:

see explanation

Step-by-step explanation:

Compare the coordinates of corresponding vertices.

C(7, - 2 ) → C'(- 3, 7 )

x- direction 7 → - 3 , that is - 10 of a shift

y- direction - 2 → 7, that is + 9 of a shift

Thus the translation rule is

(x, y ) → (x - 10, y + 9 )

what is the answer to (x+1)(3x+2)

Answers

The answer is 3x2+5x+2

In a right triangle ABC , C is the right angle What does sin B equal​

Answers

Answer:

The answer is......

COS A

In a previous​ poll, ​% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose​ that, in a more recent​ poll, of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased? Use the significance level.

Answers

Answer:

We conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased.

Step-by-step explanation:

The complete question is: In a previous​ poll, ​46% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose​ that, in a more recent​ poll, 480 of 1081 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased? Use the [tex]\alpha[/tex] = 0.10 significance level.

Let p = population proportion of families with children under the age of 18 who eat dinner together seven nights a week.

So, Null Hypothesis, : p 46%      {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has increased or remains same}

Alternate Hypothesis, : p < 46%      {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased}

The test statistics that will be used here is One-sample z-test for proportions;

                             T.S.  =    ~  N(0,1)

where, [tex]\hat p[/tex] = sample proportion of families = [tex]\frac{480}{1081}[/tex] = 0.44

           n = sample of adults with children under the age of 18 = 1081

So, the test statistics =    

                                   =  -1.32

The value of z-statistics is -1.32.

Also, the P-value of the test statistics is given by;

                    P-value = P(Z < -1.32) = 1 - P(Z [tex]\leq[/tex] 1.32)

                                  = 1 - 0.9066 = 0.0934

Since the P-value of our test statistics is less than the level of significance as 0.0934 < 0.10, so we have sufficient evidence to reject our null hypothesis as the test statistics will fall in the rejection region.

Therefore, we conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased.

Other Questions
The sum of three numbers is 72 the second number is three times the third the third number is eight more than the first what are the numbers Directions: Rewrite each sentence and capitalize each proper noun.1. The new student in our class is travis.2. The white sox is a baseball team from chicago.3. The character superman was the hero of many young americans.4. The twins went to a football game in los angeles.5. The battle at Waterloo was fought between france and russia.6. The lakers won the first game of the basketball season.7. There were a few boats out on lake zurick last tuesday.8. I heard thomas say that the movie on monday was the scariest he's ever seen.9. This new game from activision puts you in a race car on mars.10. May we go to north beach next weekend?11. Bus number 14 will take you to sanders avenue.12. Last week we saw that new adventure movie, jurassic park.13. andrea left for school before mark did.14. The price of gasoline is higher in europe than it is in mexico. Renee was able to plant 15 flowers in 5 minutes.At this rate, how many flowers could she plant in 45 minutes? Jessica just bought a refrigerator for $799. She paid $79.80 in a down payment and will pay the rest in 4 equal installments. How much does she need to pay for each installment? in this sermon John Winthrop writes both the consequences and benefits of following, or not following,"The lord our God" how does he see this as affecting the colony? Interpret the average rate of change of 14/3 that you found previously. What does this mean in terms of the waterslide, from x = 0 to x = 15? QUESTION 9Mr. Sevenson has right-sided weakness. Where should the nurse position herself to feed him?a. at the patient's left side.O b.at the patient's right side.OC. Either side of the bed.d. The foot of the bed. chapter 1 in microscope biology help asap!! will get branliest. 1. What does it mean to be an American? President Eisenhower's most important and far-reaching domestic initiative was the passage of the Interstate Highway and Defense System Act of 1956. funding for a huge increase in Social Security benefits. the most progressive civil rights bill since Reconstruction. the establishment of the Department of Health, Education, and Welfare. What is the equation, in point-slope form, of the linethat is parallel to the given line and passes through thepoint (-3, 1)?y-1=- (x+3)y-1=-{(x + 3)y-1= {(x+3)y-1= {(x+3) 12. Market efficiency and perfect price discrimination Perfect price discrimination is efficient because it converts what would have been deadweight loss into consumer and producer surplus inefficient because it converts a portion of consumer surplus into producer surplus inefficient because it results in no consumer surplus efficient because it converts into producer surplus what had been consumer surplus and deadweight loss if a is an even natural number such that a|208 and (a,b)=1, then find the value of bthis is gauss theroeam [tex]3-\sqrt{x} 1-16x^{2}[/tex] could someone please assist...it would really help alot...thank you:)I just need help with 4.2 and 4.3 consider l= 5 ,r= 11. you must determine the sum of the values of the function in the range L to R . you have to calculate sum = lrf(x) in python coding 8 w 4 + 10 w 3 12 w 2 Factor completely he says,"i am a businessman."change it into indirect What are some pros and cons of using a dispersant versus bacteria to deal with a very large spill and how would each one impact the environment