Determine whether the value given is a parameter or statistic. Two thirds of all the students in this class are womena. Parameterb. Statistic

Answer: A) 0,1,1,2,2,4,5,8,9

Step-by-step explanation:

We know that in a stem leaf plot ,

The stem represents the tens value of the term and leaves represent the ones values of the data.

Given data of the amount of time in minutes students spend studying for a quiz:

10, 11, 11, 12, 12, 14, 15, 18, 19, 20, 22, 24, 39, 40, 41, 44, 46, 50, 52, 52, 53, 55, 70.

Here , the least tens value is 1.                 (10, 11, 11, 12, 12, 14, 15, 18, 19)

So the first stem would have value.

Then the leaf of the first stem if you were splitting the stems contains all the ones-values corresponding to tens value as 1 (10, 11, 11, 12, 12, 14, 15, 18, 19).

= 0 , 1, 1,2, 2, 4 , 5 , 8 , 9

Hence, the correct answer is A) 0,1,1,2,2,4,5,8,9

In a stem-and-leaf plot for the given data, the leaves for the first stem (1, or numbers in the 10s) would be 0,1,1,2,2,4,5,8,9, hence the answer is Option A.

In a stem-and-leaf plot, the data is organized by place value. The stem represents the tens digit, and the leaf represents the ones digit. Considering the given data set which ranges from 10 to 70, the first stem represents '1', indicating a range of 10s.

For the values in the 10s: 10, 11, 11, 12, 12, 14, 15, 18, 19, the corresponding leaf units would be 0, 1, 1, 2, 2, 4, 5, 8, 9. So, the correct answer is Option A: 0,1,1,2,2,4,5,8,9 which are the units of the numbers in the 10s place.

https://brainly.com/question/31866107

#SPJ3

The area of the region is bounded by the curve [tex]\rm y=e^2x[/tex] the x-axis the y axis, and the line x=2 is equal to [tex]\rm \dfrac{e^4}{2}-\dfrac{1}{2}[/tex].

Given that,

The area of the region bounded by the curve [tex]\rm y=e^2x[/tex],

We have to determine,

The x-axis the y axis and the line x=2 is equal to.

According to the question,

The area of the region bounded by the curve

[tex]\rm y=e^2x[/tex]

The area of the region bounded by the curve is determined by integrating the curve at x = 0 to x = 2.

Integrating the curve on both sides,

[tex]\rm Area=\int\limits^2_0 { e^{2x}} \, dx\\\\Area=[ \dfrac{e^{2x}}{2}]^2_0\\\\Area= [ \dfrac{e^{2(2)}}{2}- \dfrac{e^{2(0)}}{2}]\\\\Area = \dfrac{e^4}{2}-\dfrac{e^0}{2}\\\\Area = \dfrac{e^4}{2}-\dfrac{1}{2}[/tex]

Hence, The area of the region is bounded by the curve [tex]\rm y=e^2x[/tex] the x-axis the y axis, and the line x=2 is equal to [tex]\rm \dfrac{e^4}{2}-\dfrac{1}{2}[/tex].

To know more about Area under the curve click the link given below.

https://brainly.com/question/7785344

Answer:

[tex] P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}[/tex]

Step-by-step explanation:

Let A and B events. We have defined the probabilities for some events:

[tex] P(A') =\frac{68}{73} , P(B) =\frac{21}{73} , P(A \cap B) =\frac{1}{73}[/tex]

Where A' represent the complement for the event A

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: [tex]P(A)+P(A') =1[/tex]

So for this case we can solve for P(A) like this:

[tex] P(A) = 1-P(A') = 1-\frac{68}{73}=\frac{5}{73}[/tex]

And now we can find [tex] P(A \cup B)[/tex] using the total probability rul given by:

[tex] P(A \cup B) = P(A)+P(B) -P(A \cap B)[/tex]

And if we replace the values given we got:

[tex] P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}[/tex]

And that would be the final answer.

Answer:

1. Five classes in the frequency distribution

2.The mid point of the third class is 24.5

3.The total number of frequency is 100

4.The relative frequency of the third class is (20/100=0.2)

5. We use n-1 because we are dealing with a sample data

6. The mean is 24.5

7. The value of the standard deviation is 11

Step-by-step explanation:

See attached picture for the solutions

Answer:12

Step-by-step explanation:

Let the numbers be a and b

a-3b=5 ........equation (1)

There product is :

ab=68 ..........equation (2)

From equation (1)

a-3b=5

Make a the subject of the formula

a=5+3b. ........equation (3)

Substitute equation (3) into equation (2)

(5+3b)b=68

3(b^2)+3b-68=0

The product is -204b^2(17 and -12)

(b+17)(b-12)=0

b=-17 or b=12

So the number is 12

First and another number is 4 and 17

Product of two number = 68

Numbers

Assume;

First number = a

So, Another number = 3a + 5

[a][3a + 5] = 68

3a² + 5a = 68

3a² + 5a - 68 = 0

3a² + 17a - 12a - 68 = 0

3a(a - 4) + 17(a - 4)

So,

a = 4

First number = 4

So, Another number = 3a + 5 = 3(4) + 5 = 17

https://brainly.com/question/24433935?referrer=searchResults

Answer:

c. Yes. The outcomes can be classified into two categories: the trials are fixed, and the events are independent.

Since we can calculate the following probabilities:

p= probability that live entertainment had increased the amount of money they spent

q =probability that live entertainment had not increased the amount of money they spent

n = 85

And independence is satisfied.

Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

In order to apply the binomial distirbution we need to satisfy some conditions given here:

1) Independence between the trials of the experiment

2)  The number of observations n is fixed for this case n=85

3) Each observation represents one of two outcomes "success" or "failure" and the probability of success is defined.

So then based on this and on the information given we can conclude that the best option for this case is:

c. Yes. The outcomes can be classified into two categories: the trials are fixed, and the events are independent.

Since we can calculate the following probabilities:

p= probability that live entertainment had increased the amount of money they spent

q =probability that live entertainment had not increased the amount of money they spent

n = 85

And independence is satisfied.

Answer:

[tex]Days\ of\ working\ Capital= 30\ days[/tex]

During a 30 - day month,days of working capital are 30 days.

Step-by-step explanation:

Formula for  days of working capital we are going to us is:

[tex]Days\ of\ working\ Capital=(Current\ Assets\ -Current\ Liabilities) / \frac{Operation\ Expense}{Time Period}[/tex]In our case:

Current Assets= $40 million.

Current liabilities=$30 million.

Operation Expense= $10 million.

Time Period=30 days Month.

[tex]Days\ of\ working\ Capital=\frac{\$40\ million-\$30\ million}{\frac{\$10 million}{30}} \\Days\ of\ working\ Capital= 30\ days[/tex]

During a 30 - day month,days of working capital are 30 days.

Answer:[tex]\frac{n!}{r!(n-r)!}[/tex]

ways

Step-by-step explanation:

Given that a shelf contains n separate compartments. There are r indistinguishable marbles

The marbles are identical so they can be placed in any order.

Let us consider the places available for placing these r marbles

No of compartments available =n

Marbles to be placed = r

Since marbles are identical and order does not matter

number of ways the r marbles can be placed in the n compartments

= nCr

=[tex]\frac{n!}{r!(n-r)!}[/tex]

Answer:

a) Discrete Variable

b) Discrete Variable

c) Discrete Variable

d) Continuous Variable

Step-by-step explanation:

We have to identify the given variable as discrete r continuous.

Discrete Variables:

Continuous Variables:

a) The number of countries ever visited

Since number of countries will always be expressed in whole numbers and not decimals. Also, they will always be counted and not measured. Thus, it is a discrete variable.

b) The number of sons

Since number of sons will always be expressed in whole numbers and not decimals. Also, they will always be counted and not measured. Thus, it is a discrete variable.

c) Shoe size

Shoe size are expressed in whole number. The underlying measure is length of feet which is a continuous variable but shoe size are always given in whole number. Thus, they cannot take any value within an interval. Thus, it is a discrete variable.

d) Body temperature

Body temperature can be expressed in decimal. A Body temperature of 42.5 makes sense. Thus, they can take any value within an interval. Also, it is measured not counted. Thus, it is a discrete variable.

Answer:

c. 3.6 and 10.4 hrs

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean 7, standard deviation 1.7.

For about 95% of students, nightly amount of sleep is between

7 - 2*1.7 = 7 - 3.4 = 3.6 hours

7 + 2*1.7 = 7 + 3.4 = 10.4 hours

So the correct answer is:

c. 3.6 and 10.4 hrs

Final answer:

To determine the range of sleep for 95% of students, the empirical rule is used. By adding and subtracting twice the standard deviation from the mean, we find that approximately 95% of students get between 3.6 and 10.4 hours of sleep. Thus, the correct answer is option c.

Explanation:

To calculate the range of hours that includes approximately 95% of the student's sleep times, we will use the empirical rule (68-95-99.7 rule) because the distribution of sleep hours is approximately normal. This rule states that for a normal distribution, approximately 95% of the data falls within two standard deviations from the mean. Since we know the mean is 7 hours and the standard deviation is 1.7 hours, we need to add and subtract twice the standard deviation from the mean to find the range.

Therefore, for about 95% of students, the nightly amount of sleep is between 3.6 and 10.4 hours, which corresponds to option c.

Answer: the number of miles that Bryan hiked is 160

Step-by-step explanation:

Total distance that Bryan hiked last summer was 8.48x 10^5 feet.

There are approximately 5.3 x 10^3 feet in a mile. Converting 8.48 × 10^5 feet to miles, it becomes

8.48 × 10^5/5.3 x 10^3

Applying the rules of indices which is expressed as

a^x ÷ a^y = a^(x - y)

It becomes

= 1.6 × 10^ (5 - 3)

= 1.6 × 10^2

= 160 miles

Answer:

- 0.196 < μ < +0.196

Step-by-step explanation:

n = 100

σ = 1

X bar (x⁻) = 0

1 - ∝ =95%

μ = ?

= X bar (x⁻) ± Z ∝/₂ * σ/√n

Finding ∝:

To find ∝, we will convert the confidence interval i.e. 95% into decimal by dividing it with 100 and subtracting it from 1.

1 - ∝ = 95%

1 - ∝ = 95/100

1 - ∝ = 0.95

∝ = 1 - 0.95

∝ = 0.05 -----(1)

We have to calculate ∝/2 so dividing both sides of (1) with 2

∝/2 = 0.05/2

∝/2 = 0.025

We will find the value of 0.025 in z-table. The value is:

Z ∝/2 = 1.96

For further calculations, we will use the value of Z∝/2.

Putting all values in the formula.

= 0 ± 1.96 * 1 / √100

We can also write this in the following form:

0 - 1.96/ √100 < μ < 0 + 1.96 / √100

- 1.96 / 10 < μ < 1.96 / 10   ∴ √100 = 10

- 0.196 <  μ < + 0.196

The confidence level used to generate the 100 intervals can be estimated as 89%.

The confidence level used to generate the 100 intervals can be estimated using a 95% confidence interval. Since 89 out of the 100 intervals include the number 0, we can consider that 89% of the intervals would include the true population mean, which is 0. Therefore, the estimated confidence level is 89%.

https://brainly.com/question/34272963

#SPJ12

Answer:

2.125ft

Step-by-step explanation:

10×1=10

10×1.25= 12.5

12.5+10= 22.5in

22.5 in = 1.875ft

4-1.875= 2.125ft left

Answer:

Step-by-step explanation:

I foot = 12 inches

1 inch = 1/12 foot

If the books are 1.-inch wide, converting to foot, it becomes 1/12 foot wide. It means that the total space occupied by 10 books of this size is

10 × 1/12 = 10/12 = 0.833 foot.

If the books are 1.25-inch wide, converting to foot, it becomes 1/12 × 1.25 = foot wide. It means that the total space occupied by 10 books of this size is

10 × 1/12 × 1.25 = 12.5/12 = 1.042 foot.

Total space occupied by the books would be

0.833 + 1.042 = 1.875 feet

Amount of room left in the bookshelf would be

4 - 1.875 = 2.125 feet

Answer: (a). 99 percent of the sample proportions results in a 99% confidence interval that includes the population proportion.

(b). 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.

Step-by-step explanation:

(a). 99 percent of the sample proportions results in a 99% confidence interval that includes the population proportion.

Explanation: If multiple samples were drawn from the same population and a 99% CI calculated for each sample, we would expect the population proportion to be found within 99% of these confidence intervals.

(b). 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.

Explanation: The 99% of the confidence intervals includes the population proportion value, it means, the remaining (100% – 99%) 1% of the intervals does not includes the population proportion.

If multiple samples were drawn from the same population and a 99% CI calculated for each sample, we would expect the population proportion to be found within 99% of these confidence intervals and 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.

Answer:

(a). 99 percent of the sample proportions results in a 99% confidence interval that includes the population proportion.

(b). 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.

Step-by-step explanation:

(a). 99 percent of the sample proportions results in a 99% confidence interval that includes the population proportion.

Explanation: If multiple samples were drawn from the same population and a 99% CI calculated for each sample, we would expect the population proportion to be found within 99% of these confidence intervals.

(b). 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.

Explanation: The 99% of the confidence intervals includes the population proportion value, it means, the remaining (100% - 99%) 1% of the intervals does not includes the population proportion.

If multiple samples were drawn from the same population and a 99% CI calculated for each sample, we would expect the population proportion to be found within 99% of these confidence intervals and 1 percent of the sample proportions results in a 99% confidence interval that does not include the population proportion.

For more information:

https://brainly.com/question/13501743?referrer=searchResults

Answer:3,2

Step-by-step explanation:32/10

Phil paid $3.20 per pound for the jellybeans.

To find out how much Phil paid per pound of jellybeans, we need to divide the total cost by the total weight of the jellybeans. Phil paid $32 for 10 pounds of jellybeans, so the calculation is as follows:

Cost per pound = Total cost / Total weight

Cost per pound = $32 / 10 pounds

Cost per pound = $3.20

Therefore, Phil paid $3.20 per pound for the jellybeans.

Answer: Yes, I agree we should study number system in computing.

Step-by-step explanation:

Hexadecimal numbers can be easily converted to binary numbers.

Answer:

94m²

Step-by-step explanation:

the surface area of 3m, 5m, 4m

these means its a rectangular prism with a length, width, height

the rectangular prism has 2 sides each ( meaning for the area of one side, you multiply by 2

3 x 5 = 15 x 2 = 30m²

3 x 4 = 12 x 2  = 24m²

4 x 5 = 20 x 2  = 40m²

surface area = 30 + 24 + 40 = 94m²

94m² is the answer

the surface area of 3m, 5m, 4m

This means it's a rectangular prism with a length, width, height

the rectangular prism has 2 sides each ( meaning for the area of one side, you multiply by 2

3 x 5 = 15 x 2 = 30m²

3 x 4 = 12 x 2  = 24m²

4 x 5 = 20 x 2  = 40m²

surface area = 30 + 24 + 40 = 94m²

surface area is the total area covered by all faces of a 3D object. For example, if you need to find the amount of paint you need to paint a cube, the surface to which the paint is applied is that surface. It is always measured in square units.

The surface area of ​​a right-angled prism is given by the following equation: SA = 2 (lh + wh + lw) A unit of the square.

Learn more about surface area here:https://brainly.com/question/1297098

#SPJ2

Answer:

5x-9

Step-by-step explanation:

Answer:

Given that

A = A ∩ S -- (1)

S = B ∪ B -- (2)

To prove:

A = (A ∩ B) ∪ (A ∩ B)

(A ∩ B) ∪ (A ∩ B)

= [(A∪A) ∩ (A∪B)] ∩ [(B∪A) ∩ (B∪B)]

=[A ∩ (A∪B)] ∩ [(A∪B) ∩ S]

=A ∩ (A∪B)

=A

Hence proved.

2) If B ⊂ A then A = B ∪ (A ∩ B)

R.H.S = B ∪ (A ∩ B)

= (B ∪ A) ∩ (B∪B) --(3)

As B is subset of A so

(B ∪ A) = A

From (2)

(B ∪ B) = S

(3) becomes

=A ∩ S

from (1)

A ∩ S = A

Hence proved

Answer:

Option A)  As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

Step-by-step explanation:

We are given the following in the equation:

[tex]y(x) = 50.57+0.4845x[/tex]

where, above equation is a  linear regression equation to predict the Exam 3 score of students in STA 2023 based on their Exam 1 score.

Here,

y is the dependent variable that is score of exam 3.

x is the independent variable that is the score of exam 1.

Comparing the given equation to a linear equation, we have,

[tex]y = mx + c[/tex]

Slope, m = 0.4845

Intercept, c = 50.57

We define the slope as rate of change.

If there is a increase in x by 1 unit, then,

[tex]y(x) = 50.57+0.4845x\\y(x+1) = 50.57+0.4845(x+1)\\y(x+1)-y(x) = 50.57+0.4845(x+1)-50.57-0.4845x\\y(x+1)-y(x) = 0.4845(x+1-x)\\y(x+1)-y(x) = 0.4845[/tex]

Thus, we can interpret the slope of the line as

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

Answer:

The person will lose 0.25 credits.

Step-by-step explanation:

According to given condition, the deduction on wrong answer is:

Deduction = 1/(n-1)

where, n = no. of options in the question.

Therefore, if a person gives an incorrect answer to a multiple chice question which has 5 options. Then,

n = 5

and the deduction will be given as:

Deduction = 1/(5-1)

Deduction = 1/4

Deduction = 0.25 credit

The person will lose 0.25 credits.

Answer:

D. A randomly selected group of 30 students leaving the dining hall after dinner

Correct since the students who had dinner can talk about the cafeteria food and we can determine the concerns since they are using the cafeteria.  

Step-by-step explanation:

They want to determine student concerns about cafeteria food, that's the objective in the study

Let's analyze one by one the possible options

A. A randomly selected group of 30 students entering the dining hall before dinner

False, a person not dinner then can't talk about the caefeteria with accuracy since is not using the service yet.

B. A randomly selected group of 30 registered students

False, we are focused on the people who assit to the cafateria, and we can have people who not use the caefeteria in the sample and that's not the interest.

C. A randomly selected group of 30 students who have signed food contracts

False, a person could be signed a food contract but can no assist to the cafeteria in some cases.

D. A randomly selected group of 30 students leaving the dining hall after dinner

Correct since the students who had dinner can talk about the cafeteria food and we can determine the concerns since they are using the cafeteria.  

Answer:

Alternate Hypothesis determines which type of test is used.                  

Step-by-step explanation:

We have find the hypothesis that helps us o determine the nature of test.

[tex]\text{Two tailed test}\\H_{0}: \mu = \mu_0\\H_A: \mu \neq\mu_0\\\\\text{Left tailed test}\\H_{0}: \mu = \mu_0\\H_A: \mu < \mu_0\\\\\text{Right tailed test}\\H_{0}: \mu = \mu_0\\H_A: \mu > \mu_0[/tex]

Answer:

Step-by-step explanation:

First of all you need to sketch the region you are looking here. The sketch is in the attachment.

This area can be separated into two. The one below the line defined by [tex]y=4x[/tex] and one below the curve [tex]y=\frac{4}{x}[/tex]

After that you should find the point of intersection of the two curves so that integral limits can be defined. This is done by equating the two expressions.

[tex]4x=\frac{4}{x}\\4x^2=4\\x^2=1\\x=\pm1[/tex]

So the first integral has the limits [tex]x=0[/tex] and [tex]x=1\\[/tex], while the second one is defined with [tex]x=1[/tex] and the limit [tex]x=4[/tex].

You now just add the two integrals and that's your area:

[tex]\int_0^14xdx + \int_1^4\frac{4}{x}dx=7.54518[/tex]

Answer:

1.1,000,000,

2, 1 minute 40 secs

3.10^-6 secs

Step-by-step explanation:

sorting algorithm takes 1 second to sort n =1000 items.

1) How many operations will be performed if the sorting algorithm is O(n2) (approximately)?

2) How long will it take to sort 10,000 items if the sorting algorithm is O(n2)?

3) How much time will one operation take if the sorting algorithm is O(n2)?

algorithm takes time proportional to n^2,

1. then 1,000^2=1,000,000,

2. if it takes 1 secs to generate 1000 items

yhen n^2=1000^2=1000000  and 10,000^2=100,000,000.

Dividing  by  100. Therefore, the sorting algorithm would take

1 minute and 40 seconds to sort 10,000 items.

3. How much time will one operation take if the sorting algorithm is O(n2)?

1/1000^2

10^-6 secs to sort 1 operations

A O(n^2) sorting algorithm will perform about 1,000,000 operations in 1 second for 1000 items. It will take around 100 seconds for 10,000 items. The time taken per operation is roughly 1 microsecond.

This question is about Big O Notation, a concept used in Computer Science for analyzing an algorithm's running time by characterizing the number of operations it will perform as a function of the input size (n).

https://brainly.com/question/36697846

#SPJ3

Answer:

[tex][p-|p|*10^{-3} \, , \, p+|p|* 10^-3][/tex]

Step-by-step explanation

The relative error is the absolute error divided by the absolute value of p. for an approximation p*, the relative error is

r = |p*-p|/|p|

we want r to be at most 10⁻³, thus

|p*-p|/|p| ≤ 10⁻³

|p*-p| ≤ |p|* 10⁻³

therefore, p*-p should lie in the interval [ - |p| * 10⁻³ , |p| * 10⁻³ ], and as a consecuence, p* should be in the interval  [p - |p| * 10⁻³ , p + |p| * 10⁻³ ]

Answer:

The standard deviation is of 0.71 enemies planes detected.

Step-by-step explanation:

For example enemy plane, there are only two possible outcomes. Either it is detected, or it is not. So we use the binomial probability distribution to solve this problem.

The standard deviation of n trials with probability p, of the binomial probability distribution, is given by the following formula.

[tex]\sqrt{V(X)} = \sqrt{np(1-p))}[/tex]

In this problem, we have that:

[tex]p = 0.85, n = 4[/tex]

So

[tex]\sqrt{V(X)} = \sqrt{np(1-p))} = \sqrt{4*0.85*0.15} = 0.71[/tex]

The standard deviation is of 0.71 enemies planes detected.

Answer:

4.9kg of water

Step-by-step explanation:

Dry basis is the percentage ratio of moisture amount to amount of dry product which is 175%

Ratio of moisture amount to dry product = 175 : 100

Mass of food product = 10kg

Amount of moisture in food product = 175/175+100 × 10kg = 175/275 × 10kg = 6.4kg

Wet basis is the percentage ratio of the moisture amount to the total weight of material which is 15%

Ratio of moisture amount to total weight of material is 15 : 100

Amount of moisture in food product = 15/100 × 10kg = 1.5kg

Amount of water contained in the final product = 1.5kg

Amount of other components in the food product = 10kg - 6.4kg = 3.6kg

Total amount = 1.5kg + 3.6kg = 5.1kg

% of water = 1.5kg/5.1kg × 100 = 29%

Answer:

(a) The unit of 70.5 is lbm/ft^3 and the unit of 8.27×10^-7 is in^2/lbf

(b) density = 0.1206g/cm^3

(c) rho = 0.1206exp(8.27×10^-7P)

Step-by-step explanation:

(a) The unit of 70.5 is the same as the unit of rho which is lbm/ft^3. The unit of 8.27×10^-7 is the inverse of the unit of P (lbf/in^2) because exp is found of a constant. Therefore, the unit of 8.27×10^-7 is in^2/lbf

(b) P = 9×10^6N/m^2

rho = 70.5exp(8.27×10^-7× 9×10^6) = 70.5exp7.443 = 70.5×1.71 = 120.6kg/m^3

rho = 120.6kg/m^3 × 1000g/1kg × 1m^3/10^6cm^3 = 0.1206g/cm^3

(c) Formula for rho (g/cm^3) as a function of P (N/m^2) is

rho = 0.1206exp(8.27×10^-7P) (the unit of 0.1206 is g/cm^3)

Answer:mean= 2905.83, median=3398, mode=5456

Step-by-step explanation:

The mean:

Mean=summation of six machine produced/ n

Mean=(2567+5456+3769+2245+3398)/6

Mean=17435/6

Mean=2905.8333333

b. The median

Firstly we have to rearranged the machine product in order:

2245, 2567, 3398, 3769, 5456

So 3398 is at the middle, so median is 3398

c. The mode

The machine produces the highest number (frequency) is mode. So the mode is 5456