From an initial mix of: 2 mol Cl2, 1 mol Br2, 1 mol I2, 1 mol Cl−, 1 mol Br−, & 5 mol I−; the total quantity of Br2  present after all possible reactions occur is

From an initial mix of: 2 mol Cl2, 1 mol Br2, 1 mol I2, 1 mol Cl−, 1 mol Br−, & 5 mol I−; the total quantity of Br2  present after all possible reactions occur is

Find rank, image, null space, eigenvalues, and eigenvectors

A= [1 2 0; 0 5 -1; 1 -3 1]

1. Find integers x and y such that 23x 107y 1
2. Find 17-1 (mod 97) using the Extended Euclidean algorithm. Based on your results,
what is 97-1 (mod 17)?
3. Find gcd(30150,243) using the Euclidian algorithm
4. Find the inverse of 719 (mod 3728). Show all the steps.

1) Suppose there is a random sample of n observations, divided into four groups. The table below summarizes the count of observations that were seen in each group.

We are interested in testing the null hypothesis H0:p1=p2=p3=p4=0.25, against the alternative hypothesis HA: At least one proportion is incorrect

a) What is the expected count for each of the groups?

Expected: (number)

b) What is the value of the test statistic? Round your response to at least 2 decimal places.  

c) What are the appropriate degrees of freedom?

d) What is the P-value? Round to at least 4 decimal places

e) What conclusion can be made at the 5% level of significance?

2) Suppose there is a random sample of 1,159 observations, divided into four groups. The table below summarizes the observations that were seen in each group.

We are interested in testing the Null hypothesis Observed=Expected, under the assumption that the expected proportions are  .50, .20, .10, and .20 for the 4 groups, respectively.

a) What are the expected values?

b) What is the value of the test statistic? Round your response to at least 3 decimal places.

c) What is the P-value for the test? Round your response to at least 4 decimal places.

d) What conclusion can be made at the 5% level of significance?

EXERCISE 4‐2 Workpaper Eliminating Entries, Cost Method LO 5 Park Company purchased 90% of the stock of Salt Company on January 1, 2019, for $465,000, an amount equal to $15,000 in excess of the book value of equity acquired. This excess payment relates to an undervaluation of Salt Company's land. On the date of purchase, Salt Company's retained earnings balance was $50,000. The remainder of the stockholders' equity consists of no‐par common stock. During 2023, Salt Company declared dividends in the amount of $10,000, and reported net income of $40,000. The retained earnings balance of Salt Company on December 31, 2022, was $160,000. Park Company uses the cost method to record its investment. Required: Prepare in general journal form the workpaper entries that would be made in the preparation of a consolidated statements workpaper on December 31, 2023.

Kathy is a thirty-two-year old, stay-at-home mother of three children aged 4, 2, and six months. The family doesn't have much extra money each month. Kathy has no life insurance coverage, but she feels she should buy a policy to cover her life in case something happens to her and her husband would need to provide care for the children. Her husband does not think it is necessary. (10 points) What kind of life insurance policy would you suggest would be best for her to buy and why?

How many three​-digit numbers can be formed from the digits 0,1, 2, 3, 4, 5, 6, 7, and 8 if each digit can be used only​ once? I got this: 448

​How many are greater than 330​? <- I don't understand how to answer this.

I have looked up the answer and could probably figure it out, but please explain where the numbers you are multiplying are coming from. I want to learn how to answer this type of question on my own. I do not understand what numbers to multiply and why. I start with 5 because there are 5 digits for the hundreds place greater than 3, then multiply that by 8 for the remaining digits in the tens place. So I have 5*8, if that is correct then I just need the last number and to understand why that is the last number, and then I have to do the remaining numbers with the 3 in the hundreds place and get the sum.

Raw data

Standard scores

1. What is the sum of squares regression? (correct answer is 36, please show work)

2. What can you conclude with ANOVA? (correct answer is Reject the null, p<0.01; type I error is possible, please show work)