A simple random sample of size n is drawn from a population that in normally distributed. The sample mean, is found to be 100, and the sample stamdard deviation is found to be 8.
Construct a 98% confidence interval about µ, if the samplesize n, is 20,
Lower bound: _______ Upper bound: ____________
(Round to one decimal place as needed

Answers

Answer 1

As per the confidence interval, Lower Bound is 94.874 and the Upper Bound is 105.126

Sample Mean = 100

Sample Standard Deviation = 8

Sample Size = 20

Calculating the confidence interval -

Confidence Interval = Sample Mean ± (Critical Value) x (Standard Deviation / √(Sample Size))

Substituting the values

= 100 ± (2.860) x (8 / √20)

= 100 ± 2.860 x (8 / 4.472)

= 100 ± 2.860 x 1.789

= 100 ± 5.126

Calculating the lower bound -

Lower Bound = 100 - 5.126 = 94.874

Calculating the upper bound -

Upper Bound = 100 + 5.126 = 105.126

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Related Questions

16
Find the slope of the line that passes through the ordered pairs (3,5) and (35)
look

Answers

Answer:

3,5?

Step-by-step explanation:

Two sides of an isosceles triangle measures 20 in and 10 in. What is a possible value of the third side

Answers

20 inches only
Because when the third side is 10, the triangle cannot be formed.

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Have a good day:)

what is the least common multiple (LCM) of 8 and 11 plz help ​

Answers

Answer:

wtv

Step-by-step explanation:

remove your answer

PLS HELP ON TIMER! I'll mark brainliest once I learn how to​

PLS HELP ON TIMER! I'll mark brainliest once I learn how to

Answers

Answer:

3/9

Step-by-step explanation:

Answer:

3/9

Step-by-step explanation:

Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get 3/9

Hope this helps!!

make an outcome tree to show all possible combinations. you have three pairs of shorts four shirts, flip flops, and sneakers

Answers

The required number of combinations is 24.

Given that,
To make an outcome tree to show all possible combinations. you have three pairs of shorts four shirts, flip-flops, and sneakers.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,

                                       flip flops                  
         short 1                    short 2                    short 3
Shirt 1                shirt 2                      shirts 3                  shirts 4
Number of combinations = 12
                                         
                                       sneakers
         short 1                    short 2                    short 3
Shirt 1                shirt 2                      shirts 3                  shirts 4
Number of combinations = 12

Total number of combination = 12 + 12 = 24

Thus, the required number of combinations is 24.

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Help me with this!! NO FAKE ANSWERS!!

Help me with this!! NO FAKE ANSWERS!!

Answers

Answer:

Step-by-step explanation:

this is a similar triangle,  so the side that is 6 and 18 will have the same ratio as the side 4 and x,  then

6/18 = 4 / x

x = 4 * 18/6

x = 2 * 18 / 3

x = 36 /3

x = 12

nice :)

Which of the following statements about points are true? Check all that apply. A. Their size depends on their dimensions. B. Their sizes vary C. They have no size and no dimensions ting D. They have length but no height.​

Answers

Answer: Choice C

Explanation:

Points are locations in space or on a 2D flat plane. Think of an address to a house or perhaps longitude/latitude coordinates. Such locations do not have any width, length or height. There are no dimensions a point. Points are infinitely small. The only reason they appear to have a size is because otherwise we wouldn't be able to see the point locations.

This is why choices A B and D can be ruled out. Only choice C is true.

In question 1, you found the cubes of both positive and negative numbers. Does x = 8 have two solutions as x2 = 4 does? Why or why not?

Answers

No.

1) Because in the cubic root of 8, as below represented in this function:

\(\begin{gathered} f(x)\text{ =}\sqrt[3]{x} \\ f(8)\text{ =}\sqrt[3]{8}\text{ = 2} \\ f(-8)\text{ =}\sqrt[3]{-8\text{ }}\text{ =-2} \end{gathered}\)

There is no other negative number that can be inserted in the Domain to yield a positive value in the Range.

Unlike, the quadratic radical function. For example:

\(\begin{gathered} f(x)\text{ =}\sqrt{x} \\ f(25)\text{ =+5 or -5} \\ (-5)^2=25and(5)^2=25 \end{gathered}\)

8. The speed of a
delivery truck
varies inversely
with the time it
takes to reach its
destination. If the
truck takes 3 hours
to reach its
destination
traveling at a
constant speed of
50 miles per hour,
how long will it
take to reach the
same location
when it travels at a
constant speed of
60 miles per hour?
2 hours
2 1/3 hours
2.5 hours
2 2/3 hours

Answers

Answer:

2.5 hours

Step-by-step explanation:

If it takes 3 hours at 50 mph, it's traveling 150 miles (3 x 50)

150 miles at 60 mph is 2.5 hours (150/60)

If DE=8 and EF=3, what is DF?

Answers

If  DE=8 and EF=3 then the length of DF is 8.54 units.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

DEF is a given triangle.

DE is the opposite side of the triangle.

EF is the adjacent side of the triangle.

DF is hypotenuse.

By using pythagoras theorem we find the DF.

DE²+EF²=DF²

8²+3²=DF²

64+9=DF²

73=DF²

Take square root on both sides

DF=√73=8.54

Hence, the length of DF is 8.54 units.

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2.6 sq. cm X 3.1 cm

Answers

Answer 8.06 X 10-8 M*4

Step-by-step explanation: No Explanation Just Answer srry could think of a way to say it.

interquartile range of the wingspans of 74, 71, 75, 80, 67, 84, 77

Answers

Answer: 9

Step-by-step explanation:

Population size=7

Lower quartile=71

Upper quartile=80

67 Is or es el 67

Jajaja

What is a double replacement reaction example?

Answers

An example of a double replacement reaction is given below:

AgNO3 + NaCl → AgCl + NaNO3

A double replacement reaction, also known as a double displacement reaction or metathesis reaction, is a type of chemical reaction in which two compounds react with each other and swap cations or anions to generate two new compounds.

A general double replacement reaction is expressed as follows:

AB + CD → AD + CB

A double replacement reaction is illustrated below:

AgNO3 (silver nitrate) + NaCl (sodium chloride)  → AgCl (silver chloride) + NaNO3 (sodium nitrate)

Silver nitrate and sodium chloride are combined in this process. Silver chloride (AgCl) is formed when the silver ion (Ag+) in silver nitrate replaces the sodium ion (Na+) in sodium chloride, whereas sodium nitrate (NO3-) is formed when the nitrate ion (NO3-) replaces the chloride ion (Cl-) in sodium chloride (NaNO3).

This reaction's balanced equation is:

AgNO3 + NaCl → AgCl + NaNO3

This sort of reaction is often utilised in salt synthesis and precipitation processes.

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a researcher interested in a data matrix that displays the frequency of some combination of possible responses to multiple categorical variables should construct a: a. marginal table b. perceptual map c. regression table d. contingency table

Answers

The researcher interested in analyzing the frequency of some combination of possible responses to multiple categorical variables should construct a contingency table.

A contingency table is a two-way table that displays the frequency of observations or counts for two or more categorical variables. The table is constructed by tabulating the counts or percentages of the variables in rows and columns. The contingency table can be used to identify relationships between variables and can be helpful in analyzing data and developing hypotheses.



In a contingency table, the frequency of observations is summarized in rows and columns, as well as in the margins. The marginal totals represent the total counts or percentages for each variable, and they are typically displayed at the bottom or the right side of the table.

The marginal totals provide an overview of the overall distribution of the variables and can be helpful in identifying patterns or trends. A researcher interested in analyzing multiple categorical variables may need to construct a multiple contingency table. This type of table displays the frequency of observations for more than two categorical variables.

The table is constructed by tabulating the counts or percentages of the variables in rows and columns, as well as in the margins. In summary, a researcher interested in analyzing the frequency of some combination of possible responses to multiple categorical variables should construct a contingency table.

The contingency table summarizes the frequency of observations in rows, columns, and margins, providing a comprehensive overview of the distribution of the variables. The table can be helpful in identifying relationships between variables and developing hypotheses.

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Find the derivative of the function y=x^(x+8)

Answers

The derivative of the function is\((x - 8)x^{(x - 7)}\).

What is the derivative of a function?

The pace at which the function is altering in relation to its input variable, frequently written as x, is the derivative. Geometrically, the slope of the tangent line to a function at a particular location can be used to understand the derivative of a function.

By the use of the chain rule;

\(dy/dx = dy/du * du/dx\\Let y = x^u\\dy /dx = ux^u-1\\dy/du = 1\)

Hence;

\(dy/dx = ux^u-1 * 1\\dy/dx = (x - 8)x^(x - 8) - 1\\dy/dx = (x - 8)x^(x - 7)\\\)

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pls help, it is due now. Thank You so much to whoever helps!​

pls help, it is due now. Thank You so much to whoever helps!

Answers

Answer:

(7, -1)

Step-by-step explanation:

3x + 7y = 14

y = x - 8

3x + 7(x - 8) = 14

3x + 7x - 56 = 14

10x - 56 = 14

Add 56 to both sides.

10x = 70

Divide both sides by 10.

x = 7

3(7) + 7y = 14

21 + 7y = 14

Subtract 21 from both sides.

7y = -7

Divide both sides by 7.

y = -1

(7, -1)

Each year, a magazine compiles a list of the 400 richest Americans. As of September 19, 2012, 8 of the top 10 are as shown in the following table. Complete parts (a) through (c) below. Person Wealth ($ billions) Christy Walton and family 27.9 Warren Buffett 46.0 Charles Koch 31.0 David Koch 31.0 S. Robson Walton 26.1 Bill Gates 66.0 Jim Walton 26.8 Alice Walton 26.3 a. Find the mean. The mean is (Type an integer or decimal rounded to two decimal places as needed.) b. Find the median. The median is (Type an integer or decimal rounded to two decimal places as needed.) c. Find the mode(s). Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The mode(s) is(are) (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.) OB. There is no mode.

Answers

On solving the provided question we can say that - the answer of the quadratic equation is S(x) = ( 2 ) + ( 1 ) =3  \(P(x) = ( 2 ) * ( 1 ) =2\)

What is quadratic equation?

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. A quadratic equation is referred to as an equation of degree two in mathematics. As a result, this function's highest exponent is 2. Y = ax2 + bx + c, where a, b, and c are integers and a must be 0, gives the typical form of a square. These are all examples of quadratic equations: y = x2 + x3 + x + 1.

S(x) = (  ) + (  ) =3

\(P(x) = ( ) * ( ) =2\)

S(x) = ( 2 ) + ( 1 ) =3

\(P(x) = ( 2 ) * ( 1 ) =2\)

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Someone please help me with this question! Will give brainliest!
NO LINKS!!!!

Someone please help me with this question! Will give brainliest!NO LINKS!!!!

Answers

the numerator is the addition of the people who don't drive which are the bus and walking and the denominator is the people who do drive so add them together with denominator

Please help quickly! I need this for an exam!

An image of a rhombus is shown.
What is the area of the rhombus?

Please help quickly! I need this for an exam! An image of a rhombus is shown.What is the area of the

Answers

Answer:

18*15=270cm²

Step-by-step explanation:

-3x-2=
-3x-2=
-3x1.5=
-3x3=

Answers

Answer:

a,6. b, 6 c, -4.5. d, -9

Step-by-step explanation:

a, -3*-2

3*2. b/c of -ve * -ve is positive the answer comes 6

b, same as a

c, -3*1.5

- 4.5

d, -3*3

- 9

help asap will give brainliest!!!!

help asap will give brainliest!!!!

Answers

Answer:45 & 90

Step-by-step explanation:

Answer:

∠x = 159° and ∠y = 149°

Step-by-step explanation:

∠a = 31°

∠b = 52°

∠x = ?

∠y = ?

∠a and ∠y are supplementary angles so:

∠a + ∠y = 180

31 + ∠y = 180

∠y = 180 - 31

∠y = 149°

∠b also has a supplementary angle which is not labeled in the question so let's label that ∠c.

∠b + ∠c = 180

52 + ∠c = 180

∠c = 180 - 52

∠c = 128°

∠a and ∠c  are both inside a triangle formed by all the lines crossing with each other. Since the sum of angles inside a triangle is 180°, find the third angle in this triangle (∠d) using all the values we were given and solved for:

∠a + ∠c + ∠d = 180

31 + 128 + ∠d = 180

∠d = 180 - 31 - 128

∠d = 21°

∠d and ∠x are supplementary angles so:

∠d + ∠x = 180

21 + ∠x = 180

∠x = 180 - 21

∠x = 159°

∠x = 159° and ∠y = 149°

If I want to convert 4.42 kg into lbs, what is the starting place in terms of the conversion process?

Answers

To convert 4.42 kg into pounds, the starting place in the conversion process is to understand the conversion factor between kilograms and pounds.

The conversion factor between kilograms (kg) and pounds (lbs) is 1 kg = 2.20462 lbs. This means that 1 kilogram is equal to approximately 2.20462 pounds. To convert a given weight in kilograms to pounds, you need to multiply the weight in kilograms by the conversion factor.

In this case, you want to convert 4.42 kg into pounds. The starting place in the conversion process is to use the conversion factor:

4.42 kg * 2.20462 lbs/kg = 9.7314044 lbs

By multiplying the given weight in kilograms (4.42 kg) by the conversion factor (2.20462 lbs/kg), you find that 4.42 kg is approximately equal to 9.7314044 pounds. Therefore, when converting kilograms to pounds, the first step is to apply the appropriate conversion factor by multiplying the weight in kilograms by the conversion factor.

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You have 2 cats
and 3 dogs. Write
the ratio of cats to
dogs two different
ways.

Answers

Answer:

2:3

3:2

Step-by-step explanation:

A swimming pool contains (less than 0.02) grams of chlorine per cubic meter. The pool measures meters by meters and is meters deep. Some water will be drained and then replaced by water contain grams of chlorine per cubic meter. How much water should be drained so the pool ends up with grams of chlorine per cubic meter?

Answers

To achieve a chlorine concentration of grams per cubic meter in the swimming pool, approximately cubic meters of water should be drained.

To find the amount of water that needs to be drained, we can set up a simple equation based on the initial and desired chlorine concentrations. Let's denote the initial volume of water in the pool as V (cubic meters) and the volume of water to be drained as x (cubic meters).

Step 1: Calculate the amount of chlorine in the initial water:

The initial chlorine content in the pool is less than 0.02 grams per cubic meter. Therefore, the total amount of chlorine in the initial water is given by V * 0.02 grams.

Step 2: Calculate the amount of chlorine in the new water:

The desired chlorine content in the pool is grams per cubic meter. Hence, the total amount of chlorine in the new water is given by (V - x) * grams.

Step 3: Set up the equation and solve for x:

Since the total amount of chlorine in the water remains constant, we can equate the initial and new chlorine amounts:

V * 0.02 = (V - x) * grams

Solving this equation will give us the value of x, which represents the volume of water that needs to be drained.

To solve the equation and find the value of x, you can rearrange the equation and simplify it. Divide both sides of the equation by grams and then distribute to eliminate the parentheses. After that, you can isolate the term with x on one side of the equation and move all other terms to the other side. Finally, divide both sides by the coefficient of x to find the value of x.

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begin{tabular}{|r|l|r|r|} \hline 3 & Below are your numerical inputs for the problem: \\ \hline 4 & Initial Cost (\$) & 390000 \\ \hline 5 & Year 1 Revenues (\$) & 192000 \\ \hline 6 & Year 1 Costs (\$) & 125000 \\ \hline 7 & Inflation & 2.75% \\ \hline 8 & Project Duration (years) & 6 \\ \hline 9 & Depreciation Method & \\ \hline 10 & Tax Rate & \\ \hline 11 & Net Working Capital (\% oft+1 Revenues) & MACRS \\ \hline 12 & Salvage Value (\$) & 28.00% \\ \hline 13 & Cost of Capital & 15.00% & 245000 \\ \hline \end{tabular} How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.

Answers

Information is needed to evaluate the project's financial viability, considering factors such as the initial investment, expected cash flows, cost of capital, and project duration.

To calculate the year 1 operating cash flows (OCF), we need to subtract the year 1 costs from the year 1 revenues:

OCF = Year 1 Revenues - Year 1 Costs

OCF = $192,000 - $125,000

OCF = $67,000

To find the depreciation expense in year 3, we need to determine the depreciation method. The provided information is incomplete regarding the depreciation method, so we cannot calculate the depreciation expense in year 3 without knowing the specific method.

The change in Net Working Capital (NWC) in year 2 can be determined by multiplying the Net Working Capital percentage (given as a percentage of t+1 revenues) by the year 1 revenues and subtracting the result from the year 2 revenues:

Change in NWC = (Year 2 Revenues - Net Working Capital percentage * Year 1 Revenues) - Year 1 Revenues

Without the specific Net Working Capital percentage or Year 2 Revenues values, we cannot calculate the exact change in NWC in year 2.

The net cash flow from salvage (ATSV) is calculated by multiplying the Salvage Value percentage by the Initial Cost:

ATSV = Salvage Value percentage * Initial Cost

ATSV = 28% * $390,000

ATSV = $109,200

To calculate the project's NPV, we need the cash flows for each year, the cost of capital, and the project duration. Unfortunately, the information provided does not include the cash flows for each year, so we cannot calculate the project's NPV.

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The complete question is:

Below are your numerical inputs for the problem: 4 & Initial Cost (\$) & 390000 5 & Year 1 Revenues (\$) & 192000 6 & Year 1 Costs (\$) & 125000  7 & Inflation & 2.75% 8 & Project Duration (years) & 6 9 & Depreciation Method & 10 & Tax Rate & 11 & Net Working Capital (\% oft+1 Revenues) & MACRS 12 & Salvage Value (\$) & 28.00% 13 & Cost of Capital & 15.00% & 245000 How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.

I need help with this!!​

I need help with this!!

Answers

Answer:

i think c

Step-by-step explanation:

hope it helps :)

The question is really asking what the slope (m) of the line is. Here’s the answer:

Slope= the variable m

m=rise/run; m=change in y/change in x

We need to find the rate of how much the taxi driver charges per minute.

Therefore:

We need to pick a precise point on the line ( a precise point is a point with whole number x and y coordinates; no decimals or fractions).

We see that the point (6, 9) is precise.

A rate is a ratio in the form of a fraction that shows the relationship of change between two quantities: a/b.

So, the taxi costs 9 dollars / 6 minutes.

9/6 simplifies 2/3.

And thus, the taxi charges 2 dollars per 3 minutes

So, the answer is 9/6, which can be simplified to the furthest possibility, making it a unit rate.

Answer: 9/6



if 1 book cost $7, how much will 3 books cost?

Answers

If 1 book cost $7, 3 books will cost: 3*$7 = $21. (Multiplying)

The answer is $21.

1.
Match the graph with its equation.



A. 7x + 7y = 0

B. 7x + 7y = 49

C. 7x – 7y = –49

D. –7x +7y = –49

1.Match the graph with its equation.A. 7x + 7y = 0B. 7x + 7y = 49C. 7x 7y = 49D. 7x +7y = 49

Answers

Answer:D. -7x+7y=-49 matches this graph.

Step-by-step explanation:

Which two steps will complete the list correctly? 4. Divide the original measurement by the conversion factors. 5. Check for reasonableness. 4. Multiply the acoriginal measure by the conversion factors. 5. Simplify the answer. 4. Multiply the original measure by the conversion factors. 5. Check for reasonableness. 4. Divide the original measure by the conversion factors. 5. Simplify the answer.

Answers

Two steps that will complete the list correctly are:

4. The original measurement should be multiplied by the conversion factors.

5. Verify that it makes sense.

What is meant by conversion factor?

A conversion factor can be used to switch from one set of units to another by multiplying or dividing a number. When a conversion is necessary, the appropriate conversion factor to an equivalent value must be applied.

Let's use an example of converting from inches to centimeters to address this query.

10 inches should be converted to cm.

The first step is to identify the measure that has to be converted, which in this case is inches.The conversion factors, which are; are written in the second step. 1 inch equals 2.54 centimetersThe third step is to cancel the units; in this instance, inches will be cancelled.The original measurement is multiplied by the conversion factor in the fourth step to give; 10 × 2.54 cm = 25.4 cmThe fifth stage is to assess reasonableness by attempting to determine whether choosing a different number will produce a reasonable result.

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A shipping company uses a formula to determine the cost for shipping a package: c = 2.79 + 0.38p, where c is the cost of shipping and p is the number of pounds. What is the cost of shipping a package that weighs 8 pounds?

Answers

Using the formula they gave us:

Cost of shipping = 2.79 + 0.38(8)

Cost of shipping = 2.79 + 3.04

Cost of shipping = 5.83(currency unit)

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In many countries, all archaeological resources, even on private property, belong to the government. This is not true for private property in the United States. Do you think archaeological resources, even on private property, should be controlled by the U.S. government for the benefit of scholars and the public as a whole? Why or Why not? Find the function that is finally graphed after the following transformations are applied to the graph of y = x in the order listed.(1) Shift down 7 units(2) Reflect about the x-axis(3) Reflect about the y-axis retest: Oklahoma in the Early Twentieth CenturySelect the correct answer from the drop-down menu.Jonas has written the following rough draft for school. Choose the correct way to complete each sentence.In the late 1800s, the growth of all-black towns coincided with the development of the movement for an all-black state to join the Union.was one of the biggest supporters of this idea. 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Another coal mine worker is 7 feet above ground operating machinerya)write an integer for the position of each worker relative to the groundb) find the absolute value of each integer c) witch worker is farther from the ground surface approximately 85% of statistics students do their homework in time for it to be collected and graded. each student does homework independently. in a statistics class of 60 students, what is the probability that at least 50 will do their homework on time? students are selected at random. this a binomial problem, because....( finish the sentence) 1. Draw (using paper and pen) the BST that results from the insertion of the values 60,30, 20, 80, 15, 70, 90, 10, 25, 33 (in this order). These values are used by the program2. Traverse the tree using preorder, inorder and postorder algorithms (using paper and pen) need all//c++ Consider the joint probability distribution given by f(xy) = 1 30 (x + y).. ....................... where x = 0,1,2,3 and y = 0,1,2Consider the joint probability distribution given by f(xy) = (x+y). Daniel is constructing a deck like the one shown. What is the area ofthe deck? (Example 2)Hexagon125ft3.5 ft Here is example 2 for help How can individuals fight for social justice? The genetic material housed inside the cell nucleus is packaged into these organized bundles.cytoplasmDNAchloroplastschromosomesInsulin is a protein that is vital for human survival and is made by special cells in the pancreas. Which organelle in these cells is the site of insulin production?chromosomesgolgi bodyendoplasmic reticulummitochondriaWhich organelle is unique to plants and captures light energy for photosynthesis?mitochondriachloroplastvacuolenucleusWhich of these statements about multi-celled organisms are true? (Select all that apply.)Each of their cells can carry out all necessary life activities for that organism.Most of their cells have unique roles.Their cells vary in size and shape.Their cells are larger than the cells of one-celled organisms.Which of the following statements is FALSE?Growing childrens cells are constantly dividing.Most organisms on Earth are multi-celled.Some cells can be shaped like a ball.The microscopic size of cells enable them to function properly.PLZ WILL GIV BRAINLIEST TO WHO ANSWERS FIRSTASAP