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Solution of the equation y'' - y' -6y = 0
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6. Among 100 of products there are 20 rejects. We will randomly select 10 of products. The random variable X indicates the number of rejects among the selected products. Determine its distribution.
The sum of two numbers is 6, and the sum of their squares is 28. Find these numbers exactly
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Answer the following questions regarding the expression below. 0.1 (a) Write the number as a fraction.
Sean must chose a 6- digit PIN number for his online banking account.Each digit can be chosen from 0 to 9. How many different possible PIN numbers can sean chose.
-27=-7u 5(u-3)
Lim x → 0 (2x ^ 3 - 10x ^ 7) / 5 * x ^ 3 - 4x )=2
(1) July 1, 2008: Receives $25,000 from Quinn Zealick for 25,000 shares of the stock common face value $1 from the bookstore. (2) July 1, 2008: Obtains $30,000 loan from local bank for needs of working capital. The loan earns 6% interest per year. The loan is payable with interest on June 30, 2009. (3) July 1, 2008: Sign a three-year rental agreement at an annual rent of $20,000 Pay the first year's rent in advance. (4) July 1, 2008: Purchases shelves for $4,000 in cash. The shelves have an estimated useful life of five years and zero residual value. (5) July 1, 2008: Purchase computers for $10,000 in cash. The computers They have an estimated useful life of three years and $1,000 in residual value. (6) July 1, 2008: Makes guarantee deposits with various book distributors for a total of $8,000. Deposits are refundable on June 30, 2009 if the bookstore pays on time all amounts payable for books purchased from distributors between July 2008 and June 30, 2009. (7) During 2008: Purchases books on account from various distributors for a cost of $160,000. (8)During 2008: Sells books costing $140,000 to $172,800. Of the total sales, $24,600 corresponds to cash and $148,200 is on account. (9) During 2008: Returns unsold books and books ordered in error for a cost of $14,600. The company had not yet paid for these books. (10) During 2008: Collected $142,400 from sales on account. (11) During 2008: Pays employees salaries of $16,700. (12) During 2008: Pays $139,800 to book distributors of the amounts payable for purchases on account. (13) December 28, 2008: Receives customer advances of $850 due to order books special that the bookstore will order and expects to receive during 2009. (14) December 31, 2008: Record the corresponding amount of interest expense on the loan in (2) for 2008. (15) December 31, 2008: Record the corresponding amount of rental expense for 2008. (16) December 31, 2008: Record the corresponding amount of depreciation expense on the shelves in (4). (17) December 31, 2008: Record the corresponding amount of depreciation expense about computers in (5). (18) December 31, 2008: Record the corresponding amount of income tax expense. profits for 2008. The income tax rate is 40%. The taxes are paid on March 15, 2009. (1) March 15, 2009: Pays 2008 income tax. (2) June 30, 2009: Pay off the bank loan with interest. (3) July 1, 2009: Obtains a new bank loan for $75,000. He loan is payable on June 30, 2010, with 8% interest payable to the expiration. (4) July 1, 2009: Receives security deposits from book distributors. (5) July 1, 2009: Pay the rent corresponding to the period from July 1 2009 to June 30, 2010. (6) During 2009: Purchase books on account for a cost of $310,000. (7)During 2009: Sold books for a cost of $286,400 for $353,700. Of the total sales, $24,900 corresponds to cash, $850 corresponds to special orders received during December of 2008 and $327,950 are on account. (8) During 2009: Returns unsold books at a cost of $22,700. The company has not yet I had paid for these books. (9) During 2009: Collects $320,600 from sales to accounts. (10) During 2009: Pays employees compensation of $29,400. (11) During 2009: pays $281,100 to book distributors for book purchases from account. (12) December 31, 2009: Declares and pays a dividend of $4,000.
A stunt man jumps horizontally from a building to the roof of a garage that is 2 meters lower. How fast does he need to be to land on the roof of the said garage that is 3 meters away from the building?
Estimate the quotient for 3.24 ÷ 82
A researcher is interested in voting preferences on change of the governing constitution in a certain country controlled by two main parties A and B. A questionnaire was developed and sent to a random sample of voters. The cross tabs are as follows Favour Neutral Oppose Membership: Party A 70 90 85 Party B 50 50 155 Test at α = 0.05 whether party membership and voting preference are associated and state the conditions required for chi-square test results to be valid.
7.57 Online communication. A study suggests that the average college student spends 10 hours per week communicating with others online. You believe that this is an underestimate and decide to collect your own sample for a hypothesis test. You randomly sample 60 students from your dorm and find that on average they spent 13.5 hours a week communicating with others online. A friend of yours, who offers to help you with the hypothesis test, comes up with the following set of hypotheses. Indicate any errors you see. H0 :x ̄<10hours HA : x ̄ > 13.5 hours
Two particles of electrical charges Q1=3.8×10-⁶C and q,=4.4×10-⁶C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.m²/C², the intensity of the interaction force between them, in newtons, is?
A buyer purchased a North Carolina home for $475,250. The seller allowed the buyer to assume his first small mortgage with a loan balance of $110,000. How much is the excise tax paid in the transaction? $951 $729.50 $950.50 $221 none of the above
Find the vertex F(x)=x^2-10x
A 20,000 kg school bus is moving at 30 km per hour on a straight road. At that moment, it applies the brakes until it comes to a complete stop after 15 seconds. Calculate the acceleration and the force acting on the body.
8/9 divided by 10/6
Arturo had hospitalization expenses of $8,300. Your policy for medical expenses Seniors have a deductible of $500 and expenses are paid at a 20% coinsurance. These are the first expenses ever this year, how much will Arturo have to pay in your bill for hospitalization expenses?
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