Sample standard deviation for
283​,269,259,265,256,262,268

Answers

Answer 1

The required sample standard deviation is approximately 8.83.

To calculate the sample standard deviation for the data set, {283, 269, 259, 265, 256, 262, 268}, follow the given steps below:

First we find the mean of the data set.

μ = (283 + 269 + 259 + 265 + 256 + 262 + 268)/7

= 266

Now, we Subtract the mean from each data value and then square it. (283 - 266)² = 289

(269 - 266)² = 9

(259 - 266)² = 49

(265 - 266)² = 1

(256 - 266)² = 100

(262 - 266)² = 16

(268 - 266)² = 4

Now, we add the squares obtained above

= (289 + 9 + 49 + 1 + 100 + 16 + 4)

= 468

Now, we divide the sum obtained by (n-1).

= (468/(7-1))

= 78

Take the square root of the quotient obtained above and we get

σ = √78 ≈ 8.83

Therefore, the sample standard deviation for the data set, {283, 269, 259, 265, 256, 262, 268} is approximately 8.83, which is the square root of the variance of the data set.

Thus, the sample standard deviation is approximately 8.83.

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Related Questions

Prove the following is equivalent: n* (n-1 C 2) = nC2 * (n − 2) .

Answers

The equivalence of the expressions n × ([tex]{}^{(n-1)}C_2[/tex]) and [tex]{}^nC_2[/tex] × (n − 2) has been proven mathematically.

To prove the equivalence of the expressions n × ([tex]{}^{(n-1)}C_2[/tex]) and [tex]^{n}C_2[/tex] × (n − 2), we can demonstrate that they yield the same result.

First, let's simplify each expression:

n × ([tex]{}^{(n-1)}C_2[/tex]) = n × [(n-1)! / 2!(n-1-2)!]

= n × [(n-1)! / 2!(n-3)!]

= n × [(n-1)(n-2) / 2]

= n × (n² - 3n + 2) / 2

= (n³ - 3n² + 2n) / 2

[tex]{}^nC_2[/tex] × (n − 2) = [n! / 2!(n-2)!] × (n-2)

= [n! / 2!(n-2)!] × (n-2)

= [(n)(n-1)(n-2)! / 2!(n-2)!] × (n-2)

= [(n)(n-1)] / 2

= (n² - n) / 2

By comparing the two simplified expressions, we can see that (n³ - 3n² + 2n) / 2 is equal to (n² - n) / 2.

Hence, we have proven that n × ([tex]{}^{(n-1)}C_2[/tex]) is equivalent to [tex]{}^nC_2[/tex] × (n − 2).

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Martina runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?

Answers

It may be 45 I think

Answer:

4.2 miles

Step-by-step explanation:

Martina runs 6 miles in 50 minutes, we have to find the rate at which she is running. Put it in a fraction [tex]\frac{6}{50}[/tex] or she runs 6 miles every 50 minutes. When we divide we get that she is running, 0.12 miles evrey minute. The question askes us how far Matina will run in 35 minutes, so we multiply 0.12 by 35, and we get that she will run 4.2 miles.

Please Help 8th Grade math!!!!!!! only anwser 9

Answers

it's 40.00 beacuase justo subtract

9514 1404 393

Answer:

  Chris's gym charges more

Step-by-step explanation:

The difference between 2 rentals and 1 rental at Chris's gym is ...

  $55.50 -52.75 = $2.75 . . . . cost of court rental at Chris's gym

This $2.75 cost at Chris's gym is higher than the corresponding $2.00 cost at Tyrell's gym.

Chris's gym charges more to reserve the basketball courts.

y−3=5(x−2) what is the slope?

Answers

Answer:

y=5(x-2)+3 or y= 5x+7

Step-by-step explanation:

MARKING BRAINLIEST TO FIRST PERSON WHO IS CORRECT!


I need help with #13

Answers

Answer:

True

False

False

Step-by-step explanation:

What is the value of x in the equation below?
12 – 2(x-1)=6

Answers

X=25 in this equation. But if u divide by 12 it’s -25
X=-2
You would distribute the -2 and Zoe 1 and 1*-2=-2



Rewrite the expression in the form x^n

Answers

Answer:

[tex]x^{\frac{5}{3} }[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} *\frac{5}{2} \\\\\frac{5}{3}[/tex]

Should i trust the links people say "Their is an imagine in this link that contains the answer" usually these links are from sus profiles. So should i use it or no?​

Answers

Answer:

no don't ever click on links okay.

Step-by-step explanation:

answer easy question quick ​

Answers

Answer:

Step-by-step explanation:

a) 9.80- 98/10

b) 7.3- 73/10

a) 7/100- 0.07

b) 82/10- 8.2

Hope this helps

Fraction:

a) 98/100

b) 73/10

Decimal:

a) 0.07

b) 8.2

Hello!
What's Eri's teddys name?

Answers

Answer:

Werid I don’t know

Step-by-step explanation:

PLEASE HELP ME ASAP I SWEAR IT WOULD BE A BIG HELP.
Jethro has sat 5 tests.
Each test was marked out of 100 and Jethro's mean mark for the 5 tests is 74
Jethro has to sit one more test that is also to be marked out of 100
Jethro wants his mean mark for all 6 tests to be at least 77
Work out the least mark that Jethro needs to get for the last test. ​

Answers

This paper will discuss the mathematics involved in determining the least mark that Jethro needs to get for the last test in order to end up with a mean mark of 77 over all 6 tests.

Jethro has sat 5 tests and each test was marked out of 100. Therefore, Jethro’s marks for the 5 tests can be represented by x1, x2, x3, x4, and x5. Jethro’s mean mark for the 5 tests is 74, which can be represented by the mathematical equation: (x1 + x2 + x3 + x4 + x5) / 5 = 74.

Jethro needs to sit one more test that is also marked out of 100 and he wants his mean mark for all 6 tests to be at least 77. Therefore, the least mark that Jethro needs to get for the last test can be found by rearranging the equation to: (x1 + x2 + x3 + x4 + x5 + x6) / 6 = 77. This can be written in its simplified form as: 6x6 = 77(x1 + x2 + x3 + x4 + x5).

In order to find the least mark that Jethro needs to get for the last test, x6, the other terms must be known. Since Jethro has already sat the 5 tests the marks for these tests are known, so they can be added together. This results in: x6 = 77(x1 + x2 + x3 + x4 + x5) / 6. Therefore, Jethro needs to get a mark of at least 77.6 (rounded to the nearest tenth) on the last test in order to end up with a mean mark of 77.

The mean score in a physics test is 75% with the standard deviation 6.5%. Suppose that the scores in the test are approximately normally distributed. What is the probability that a randomly selected student scores more than 82%? Round your answer for 4 decimal places.

__________

Answers

The probability that a randomly selected student scores more than 82% on the physics test, we can use the standard normal distribution and the given mean and standard deviation.

The z-score formula is given by z = (x - μ) / σ, where z represents the z-score, x is the observed value, μ is the mean, and σ is the standard deviation. In this case, the observed value is 82%, the mean is 75%, and the standard deviation is 6.5%. Plugging these values into the formula, we calculate the z-score as z = (0.82 - 0.75) / 0.065 = 1.0769.

Next, we need to find the area to the left of the z-score in the standard normal distribution table or using a calculator. The area to the left of 1.0769 corresponds to the probability of scoring less than 82%. Let's assume this area is P(z < 1.0769).

The probability of scoring more than 82%, we subtract P(z < 1.0769) from 1: P(z > 1.0769) = 1 - P(z < 1.0769).

Using a standard normal table or a calculator, we can find P(z < 1.0769) to determine the probability.

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Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Find the solution for this system of equations.

12x + 15y = 34
-6x + 5y = 3

Answers

Answer:

x=5/6 and y=8/5

(5/6 , 8/5)

Step-by-step explanation:

You can use the elimination method! The point of this method is to add or subtract one equation from the other, multiplying them by constants if necessary, to cancel out one variable so you can solve for the other. Then, you can plug the value you got for your solution into either equation to solve for the other. I'll demonstrate.

Look at the two equations and the coefficients of both variables. You have 12x and -6x -- 6*2=12, so this is perfect. (You could also eliminate the y because 5*3=15, but I'll show you by eliminating the x instead.)

Here's what that looks like:

(-6x+1y=3)2

-12x+10y=6

So we just multiplied the second equation by 2 on both sides. Let's see how that helps us.

12x+15y=34

-12x+10y=6

If we add the two equations now, x will be canceled out and we can solve for y.

   12x+15y=34

+(-12x+10y=6)

___________

     0x+25y=40

           25y=40

0x=0, so we can get rid of the x. Now, we need to solve for y.

25y=40

y=40/25

You probably know how to simplify fractions, so divide both the numerator and the denominator by 5 to get y=8/5.

Now you can use this value in either equation and solve for x. I'll use the first. (This is called substitution.)

12x+15(8/5)=34

12x+3(8)=34 <-- What I did here is cancel out the 5 in the denominator with 15 to leave 3, because 5*3=15.

12x+24=34

12x=10

x=10/12

x=5/6 (Divide the numerator and denominator by 2.)

You can write your answer as a point, too. (5/6 , 8/5)

If p(x)= 2^x, what is the value of p(3) - p(2)?

Answers

Answer:

4

Step-by-step explanation:

p(3) = 2³ = 8

p(2) = 2² = 4

8-4 = 4

what steps do i take to prove this? i have a few more

Answers

Answer:

They are opposite angles. If you rotate the figure SQM 180 degrees counter clockwise, they will be the exact same triangle and therefore the exact same measure.

Step-by-step explanation:

Stop and Shop sells 6 cases of Pepsi for $21.60. What is the constant of proportionality?

Answers

Answer: $3.60 per case

Step-by-step explanation: $21.60 divided by 6 = 3.60

A person visits the store and picks up five kg vegetables for did he buy?
£6.25. Which vegetable
Tomato - £1.50 per kg Carrot - £1.75 per kg Cabbage - £2 per kg Beetroot - £1.25 per kg

Answers

the answer is beetroot

Dubnium-262 has a half-life of 34 s. How long will it take for 500.0 grams to

decay to just 1.0 g? *

Answers

Answer:

the time taken for the radioactive element to decay to 1 g is 304.8 s.

Step-by-step explanation:

Given;

half-life of the given Dubnium = 34 s

initial mass of the given Dubnium, m₀ = 500 grams

final mass of the element, mf = 1 g

The time taken for the radioactive element to decay to its final mass is calculated as follows;

[tex]1 = 500 (0.5)^{\frac{t}{34}} \\\\\frac{1}{500} = (0.5)^{\frac{t}{34}}\\\\log(\frac{1}{500}) = log [(0.5)^{\frac{t}{34}}]\\\\log(\frac{1}{500}) = \frac{t}{34} log(0.5)\\\\-2.699 = \frac{t}{34} (-0.301)\\\\t = \frac{2.699 \times 34}{0.301} \\\\t = 304.8 \ s[/tex]

Therefore, the time taken for the radioactive element to decay to 1 g is 304.8 s.

The time required to decay 500 grams to 1 gram is 304.8 seconds and this can be determined by using the given data.

Given :

Dubnium-262 has a half-life of 34 s.

Final mass = 1 gram

Initial mass = 500 gram

Time taken by a radioactive element to decay is:

[tex]1 = 500(0.5)^{\frac{t}{34}}[/tex]

Simplify the above equation.

[tex]\rm \dfrac{1}{500} = (0.5)^{\frac{t }{34}}[/tex]

Now, take the log on both sides in the above equation.

[tex]\rm log(0.002 ) = \dfrac{t}{34}\times log(0.5)[/tex]

[tex]\rm \dfrac{log(0.002)}{log(0.5)} \times 34 = t[/tex]

t = 304.8 sec

So, the time required to decay 500 grams to 1 gram is 304.8 seconds.

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Hey I'm Chloe Can you Help Me, I will give Brainlest, Thank you :)
Stefan sells Jin a bicycle for ​$104 and a helmet for ​$17. The total cost for Jin is 110 ​% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

Answers

Answer:

Stefan spent 108.9$ and made 12.1$

Step-by-step explanation:

Hey I'm Aiden I can help you, I will take Brainlest, Your welcome :)

take 10% of 121 and subtract it from 121 and you get the price he paid and made

Find the potential function f for the field F.
F = -1/x i+1/y j-1/z k

Answers

The potential function for the given field is f = ln |y| - ln |z| - ln |x| + C, where C is a constant of integration.

Given field is F = (-1/x) i+ (1/y) j- (1/z) k

The potential function f is given by

∂f/∂x = -1/x .........(1)∂f/∂y = 1/y .........(2)∂f/∂z = -1/z .........(3)

Using the equation (1)

we get

f = -ln |x| + C1

Using the equation (2)

we get

f = ln |y| + C2

Using equation (3) we get

f = -ln |z| + C3

On adding the above three equations we get

f = ln |y| - ln |z| - ln |x| + C

where C = C1 + C2 + C3 is a constant of integration.

Therefore, the potential function for the given field is f = ln |y| - ln |z| - ln |x| + C, where C is a constant of integration.

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A recent stocktake measured the price of BBQs at a large hardware store. From the stocktake, it was determined that the price was normally distributed with a mean of 500 dollars and a standard deviation of 50 dollars. Twenty per cent of the BBQs would cost more than what price? Select from the answers below.

575.5

542

526

459

Answers

The price at which twenty percent of the BBQs would cost more is $542 and it follows a normal distribution.

In this case, we are given that the price of BBQs at a large hardware store follows a normal distribution with a mean of $500 and a standard deviation of $50. We want to find the price at which twenty percent of the BBQs would cost more.

To solve this problem, we need to find the value, denoted as x, for which 20% of the BBQs are priced higher. This can be done by finding the z-score corresponding to the 20th percentile and then converting it back to the original scale.

The z-score is calculated using the formula:

z = (x - μ) / σ,

where μ is the mean and σ is the standard deviation.

To find the z-score corresponding to the 20th percentile, we can use a standard normal distribution table or a statistical calculator. The z-score corresponding to the 20th percentile is approximately -0.84.

Now we can use the z-score to find the corresponding value in the original scale:

-0.84 = (x - 500) / 50.

Solving for x, we get:

-0.84 * 50 = x - 500,

-42 = x - 500,

x = 500 - 42,

x = 458.

So, twenty percent of the BBQs would cost more than $458. However, since we need to choose from the given options, the closest price to $458 is $459.

Therefore, the answer is $459.

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Which figure can be formed from the net?

Answers

Answer:

#1 is the answere

Step-by-step explanation:

Check the sides

The average American consumes 81 liters of alcohol per year. Does the average college student consume more alcohol per year? A researcher surveyed 10 randomly selected college students and found that they averaged 97.7 liters of alcohol consumed per year with a standard deviation of 23 liters. What can be concluded at the the α = 0.01 level of significance?

Answers

The α = 0.01 level of significance, we can conclude that the average alcohol consumption of college students is significantly higher than that of the average American population.

To determine if the average alcohol consumption of college students is significantly different from the average consumption of the average American, we can conduct a hypothesis test.

Let's set up the hypotheses:

Null hypothesis (H0): The average alcohol consumption of college students is equal to the average American consumption. (μ = 81)

Alternative hypothesis (H1): The average alcohol consumption of college students is greater than the average American consumption. (μ > 81)

We can use a one-sample t-test to analyze the data. Since we don't have information about the population standard deviation, we'll use the t-distribution and the sample standard deviation instead.

Given that the sample mean (x) of the 10 randomly selected college students is 97.7 liters and the sample standard deviation (s) is 23 liters, we can calculate the t-statistic using the following formula:

t = (x - μ) / (s / √n)

Where:

x = sample mean

μ = population mean

s = sample standard deviation

n = sample size

Plugging in the values, we get:

t = (97.7 - 81) / (23 / √10)

Calculating this expression gives us the t-value.

However, we also need to determine the critical value for the test based on the significance level (α = 0.01) and the degrees of freedom = n - 1.

Since we have 10 randomly selected college students = 10 - 1 = 9.

To find the critical value, we can consult the t-distribution table. With α = 0.01 and df = 9, the critical t-value is approximately 2.821.

Comparing the calculated t-value to the critical t-value, we can draw a conclusion. If the calculated t-value is greater than the critical t-value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

Now let's calculate the t-value:

t = (97.7 - 81) / (23 / √10)

≈ 16.700

Since the calculated t-value (16.700) is much greater than the critical t-value (2.821), we can reject the null hypothesis.

Therefore, based on the given data and the α = 0.01 level of significance, we can conclude that the average alcohol consumption of college students is significantly higher than that of the average American population.

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In the lexicographic ordering of the permutations of the set {A,B,C,D,E,F,G,H} , what is the next permutation after GAEDBHFC? (Assume the usual alphabetic order of letters.)
a. HAEFBDCG b. GAEDCBFH c. DEHBFGCA d. None of the other answers is correct. e. FDAEGBCH

Answers

In the lexicographic ordering of the permutations of the set {A,B,C,D,E,F,G,H} , the next permutation after GAEDBHFC will be GAEDBHFD.

What is lexicographic ordering?

Lexicographic ordering or dictionary ordering is a way of ordering elements based on their alphabetical or numerical values.

To find the next permutation in the lexicographic ordering, we need to find the smallest possible permutation that is greater than GAEDBHFC by considering the order of the letters.

Let's analyze the given permutation:

GAEDBHFC

To find the next permutation, we start from right to left and look for the first occurrence of a letter that can be replaced by a greater letter. In this case, the first such occurrence is "C" (after "H").

Next, we need to find the smallest letter that is greater than "C" from the remaining letters. From the letters {C, D, E, F, G, H}, the smallest greater letter than "C" is "D".

Now, we swap "C" with "D":

GAEDBHFD

After swapping, we need to sort the remaining letters in ascending order to obtain the smallest permutation. The remaining letters are {B, E, F, G, H}. Sorting them gives:

GAEDBHFD

Therefore, the next permutation after GAEDBHFC is GAEDBHFD.

The correct answer is:

b. GAEDBHFD

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Factor 9z^2 - 6x +1.
pls will mark you brainiest

Answers

Answer:

It is not factorable

Step-by-step explanation:

The expression is not factorable with rational numbers.

Answer:

This is not factorable.

Step-by-step explanation:

This is not factorable.

An experiment was performed to test whether caffeine in Coca-Cola would improve performance on an intelligence test. One randomly chosen group of subjects was given an 8 oz. cup of Coca-Cola containing caffeine to drink 10 minutes before taking the intelligence test. Another randomly chosen group was given an 8 oz. cup of decaffeinated Coke to drink 10 minutes before taking the test. Neither group had any food or drink for three hours before the experiment began. What are the levels or conditions of the independent variable

Answers

Answer:

8 oz of cocacola drink containing caffeine

8 oz of Decaffeinated Coke

Step-by-step explanation:

Th independent variables is that variable which causes a change in the output or the dependent or response variable. In the scenario described above, the type of drink Given to the participants is the independent variable

The Independent variable is the type of drink Given to the subjects with two levels ;

Levels :

cocacola drink containing caffeine

Decaffeinated Coke

Therefore, we can conclude that, there are two levels Of the jndependent variable, which are stated above.

Find the mean of the following probability distribution? Round your answer to one decimal.
x 0,1,2,3,4
P(x) 0.0017, 0.3421, 0.065, 0.4106, 0.1806
mean = ___

Answers

The mean of the given probability distribution is 2.4.

To find the mean of a probability distribution, we multiply each value of x by its corresponding probability and then sum them up. Using the provided data:

x: 0, 1, 2, 3, 4

P(x): 0.0017, 0.3421, 0.065, 0.4106, 0.1806

mean = 0(0.0017) + 1(0.3421) + 2(0.065) + 3(0.4106) + 4(0.1806)

     = 0 + 0.3421 + 0.13 + 1.2318 + 0.7224

     = 2.4263

Therefore, the mean of the given probability distribution is approximately 2.4 (rounded to one decimal place).

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What is your dream career and why ?

Answers

Answer:

Step-by-step explanation:

Professional dancers cause I’ve danced since I was 3 and I’ve always wanted to do it. And I wanna model on the side

Answer:

Detective/Forensics scientist

Step-by-step explanation:

I want to be a detective/ forensic scientist because I am interested in science and investigating.

Suppose you invest $188.00 in an account earning 2.80% APR. When will you have one million dollars in the account? Round your answer to two decimal places, i.e. 5.45

Answers

Answer: You will have one million dollars in the account after approximately 84.89 years.

APR is a yearly percentage rate that reflects the actual cost of borrowing on loans and investments. The APR is the rate of interest that must be charged on the balance of a savings account to attain a certain goal in the specified time period. The formula for compound interest is used in this case. The formula for compound interest is:A=P(1+r/n)^(nt)Where: A = amount P = principal (initial amount) r = annual interest rate (as a decimal) n = number of times interest is compounded per year t = number of years In this scenario: A = $1,000,000P = $188.00r = 0.028n = 1 (compounded once per year)t = unknown. Now let's solve for t:1,000,000 = 188(1 + 0.028/1)^(1t)ln (5,319.15) = t ln (1.028) ln (5,319.15) = 0.028t84.89 years = t Therefore, it will take approximately 84.89 years to reach one million dollars in the account.

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Based on meteorological records the probability that it will snow in a certain town on January 1st is 0.185. Find the probability that in a given year it will not snow on January 1st in that town rack Dic 0.815 0.227 ack Die 5.405 1.185 ack Die

Answers

The probability that it will not snow on January 1st in that town in a given year is 0.815.

Based on the meteorological records, A probability forecast includes a numerical expression of uncertainty about the quantity or event being forecast. Ideally, all elements (temperature, wind, precipitation, etc.)

The probability that it will not snow in a certain town on January 1st in a given year is 0.815. Here's how to arrive at the answer:Given that the probability of snowing on January 1st in that town is 0.185. Then, the probability of not snowing on January 1st is 1 - 0.185 = 0.815.

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The given information probability of it not snowing on January 1st of a given year in that town is 0.815.

Therefore, the probability of it not snowing on January 1st of a given year in that town is 0.815.

Here's how to solve the problem: Given: The probability of it snowing on January 1st of a given year in that town is 0.185. The complement of the probability of it snowing on January 1st is the probability of it not snowing on January 1st of a given year in that town, which is:

P(not snowing on January 1st) = 1 - P(snowing on January 1st)

P(not snowing on January 1st) = 1 - 0.185

P(not snowing on January 1st) = 0.815

Therefore, the probability of it not snowing on January 1st of a given year in that town is 0.815.

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Given the points P(0,0,-2), Q(2,3,4), R(4, 6, 5), and S(6, 11, 10), find the following: (a) The area of triangle PQR. (b) An equation of the form ax + by + cz = d for the plane containing points P, Q, and R. (c) The volume of the parallelepiped with edges PO.PR, and Ps. (d) A point on the line through P and Q which is two units away from P. I WILL GIVE BRAINIEST IF ANSWERED WITH EXPLANATION PLEASE HELP Find the area of each figure. Round your answer to 2 decimal places is required. Question 12 of 12 < View Policies Current Attempt in Progress The following information is available from the annual reports of Cullumber Company and Ivanhoe Company (Amounts in millions) Cullumber Ivanhoe Net Income $960 $1,270 Sales 22,650 33,810 Total Assets (average) 21,180 36,160 Based on the preceding information, compute the following values for each company: (Round asset turnover ratio to 2 decimal places, eg 15.25 and return on assets to 1 decimal place, es 15.2%) Cullumber Ivanhoe times times 1 Asset turnover ratio % 2. Return on assets eTextbook and Media Attempts: 0 of 3 used Submit Answer Save for Later -/10 1 say if these words are adverbs, verb, noun, with the definitions and then put a made up sentence. Find mZN.62KNNeed help with this question? Karlyn had an online business selling earrings. The materials to make a pair of earrings cost $15.00. Since it took her an hour to make each pair of earrings, she wanted to markup the price by $35 for her time and sell them for $50.00. What is the % markup for that pair of earrings? Which statement is TRUE with respect to an SN2 reaction?a. A good leaving group is a strong baseb. A good leaving group is a weak base.c. A leaving groupmust be negatively charged.d. A leaving group must be a halide. My friends and I go to the cinema by bus.We spend 10 minutes walking and 15minutes waiting at the bus stops, theJourneys take 20 minutes each waywe arrive as the film starts. There are25 minutes of adverts and trailers,and the film lasts for 95 minutesWe get home at 17:20What time did we set off tothe car Let f(x) E Z[x] with deg (f(x)) 1, and let f(x) be the polynomial in Z, [x], where p is prime integer, obtained from f(x) by reducing all the coefficients of f(x) modulo p. Assume that deg (F(x)) = deg(f(x)), then: If f(x) is reducible over Q. then f(x) is irreducible over Z O This option If f(x) is reducible over Zp, then f(x) is reducible over Q If f(x) is reducible over Zp, then f(x) is reducible over Q O This option None of choices I REALLY NEED HELP FAST I WILL GIVE BRAINLYESTHow do you think you could represent the number 2,300 as a number times a multiple of 10? How do you think you could represent the number 2,300 as a number times 10 to some exponent? How would you describe the relationship between the two representations? Just Zip-It Inc. issued 20,000 shares of P5 par common stock at P10 per share. On December 31, 2020, Just Zip-It's retained earnings were P300,000. In March 2021, the firm reacquired 5,000 shares of its common stock at P20 per share. In June 20, 2021, it sold 1,000 of these shares to its corporate officers for P25 per share. Net income for the year ended December 31, 2021, was P60,000. On December 31, 2021, what amount should the corporation report as retained earnings? Identifying What adult rights has the Supreme Court extended to juvenile offenders? The matrix A has eigenvalues X = 3 and X = 4 with associated eigenvectors 2 V = and v2 [A] Use this information to find the solution to the initial value - [] Y' = AY where Y (0) = [ (0)] - [8] - [ 2 ] 1 problem = Give your answer as x(t) and y(t). y HELP, ME PLEASE LOOK AT THE PHOTO TRUE OR FALSE A spring is hanging from the ceiling. Attaching a 450g physics book to the spring causes it to stretch 18cm in order to come to equilibrium.a. What is the spring constant?b. From equilibrium, the book is pulled down 10 cm and released. What is the period of oscillation?c. What is the book's maximum speed? please helpppp also just click the image for it to be bigger Consider the United States' and the Soviet Union's plans for post-World War II Germany. How did they contrast? Please help!!! Ill mark you as brainliest!!!!!!0.138613961 as a percent rounded to the nearest tenth HELP ME PLEASEEEEEEE CIRCUMFERENCE AND AREA OF A CIRCLE In QRS, s = 2.3 inches, S=51 and Q=44. Find the area of QRS, to the nearest 10th of an square inch.