If you choose 40 random employees from the corporation, the standard error would equal 6/Square root of 40 = .95 days. The 12 days in this department corresponds to (12-8.2)/.95 = 4 standard errors above the corporation average of 8.2. This is much higher than two or three standard errors, and it appears to be beyond chance variation. Chapter 9 Exercise 3 The p- value tells you how likely it would be to get results at least as extreme as this if there was no difference in the taste and only chance variation was operating. In this problem, p-value of 0.02 means that, if there is no difference in taste, then there is only 2% chance that 70% or more people would declare one drink better than the
.. ... .... .. .. (b) Expand and simplify (x + 3)(x + 7) (2) .................................................. .. ... .... .. .. (c) Factorise fully 3pq – 12p2 (2) .................................................. .. ... .... .. .. (d) (i) Factorise 3 y 2 − 10 y + 3 (4) .................................................. .. ... .... .. .. Hence, or otherwise (ii) Factorise 3( x + 2) 2 − 10( x + 2) + 3 .................................................. .. ... .... .. .. (Total for Question 9 = 11 marks) Edexcel GCSE in Mathematics A Sample Assessment Materials Issue 2 © Edexcel Limited 2010 57 10 1 2 3 98 99 100 The diagram represents 100 cards. Each card has a whole number from 1 to 100 on it. No cards have the same number. Bill puts a red dot on every card which has a multiple of 6 on it.
Given is the augmented matrix of a system of equations: 1 5 6 2 7 1 3 5 1 5 7 13 Write the new form of the augmented matrix after the following row operations. R1 r1 r3 , R2 r2 7r3 6. Four times the number of white marbles exceeded 9 times the number of red marbles by 10. The ratio of blue marbles to red marbles was 3 to 1. There is a total of 65 marbles of all 3 colors.
Financial Analysis * The tax rate is approximately 30% 5.618.8=29.79% 5.418.1=29.83% 5.418=30% * Based on the industry average, a sports store of similar size should be making around $21000 or 67% more profitable than Rhodes’ store. * Assuming the lots are of the same size and bear the same tax burden, if the unused lot is sold off property taxes would be reduced by $6000 at the 2008 rate. All else being equal, this would increase net profit by 6000×0.30=$1800, for a total of $14400. Profit as a percentage of sales would increase from 2.1% to 2.4%. * Of the $18400 Rhodes made in mortgage payments last year, $8000 was interest.
a. x2+8x+15 b. x2–4x –5 c. x2–14x+45 2. Factor a trinomial whose leading coefficient is not 1. Pick any three problems and factor the trinomial. If the trinomial is prime, state this and explain why. a.
The p-value is 0.002 which is smaller than the significance level. Hence there are 0.002 chances that such a small value can observe when the null hypothesis is true. Since, this probability is smaller than the significance level we reject the null hypothesis at 5% level. Hence, we conclude that there is enough evidence to support the manager’s claim that the average annual income was less than $50,000. b.
,Sarah L. G January 6, 2013 Written Assignment #1 1. A) $1,000 with 5% interest after 10 years gives you $1,628. Therefore, you would gain $628 in interest. B) If the interest is withdrawn each year, a total of $500 would be earned because the $1,000 investment would earn $50 of simple interest each year. C) The answers are different because if the interest is left untouched, it makes the principal amount higher each year, giving more money after 10 years.
| If Amy gives 10 of her stamps to Robin, she will have four times as many stamps as Robin. If she gives 20 of her stamps to Robin, she will have three times as many stamps as Robin. How many stamps do they have in all? | 8. | 8 clocks and 5 watches cost $695 altogether.
4,25,000 d.None of these 80. Total property of Ghosh Babu (in Rs.lakh) is (a) 5.0 (b) 7.5 81. (c) 10.0 (d) 12.5. If Ghosh Babu had equal number of gold and silver bars, the number of silver bars he has is (a) 90 (b) 60 (c) 75 (d) 55 CAT 1990 Actual Paper Page 11 Questions 82-84 : The following questions relate to a game to be played by you and your friend. The game consists of a 4 x 4 board (see below) where each cell contains a positive integer.
Once again if the president’s bonus is based off of net income, this situation is the most favorable for a high paying bonus and encourages stockpiling inventory to inflate net income. b. If the sales outlook for the coming three years were to increase to 30,000,000, the newly implemented system would prove valuable to B.E. Company. If production is kept the same, the company is predicted to sell every unit produced which would avoid a stockpile of inventory and also safeguarding an extra 5,000,000 units in ending inventory in case sales go above 30,000,000.