Jim found out after working for 6 months had earned 8 days of vacation time. How many days of vacation time. How many days of vacation time per year does he earn at this rate? He earns __ days of vacation time per year.

Q: Consider the 6-digit numbers, with distinct digits (no repetition), that can be formed using the…

A:

Q: Q1) a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

A: a). There are 10 digits (0,1,2,3,...,9)  in total. If the first digit is filled with 1 or 2, then…

Q: Thirteen is seven more than one-fifth of a number. O 13 = 7n + O 13 + = 7n O 13 = =n + 7 O 13 = 7 +n…

A: We can solve it using the properties of algebra as below

Q: Q4 : Consider the 5 - digit numbers , with distinct digits ( no repetition ) , that can be formed…

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Q: In a leap year there are 29 days in February instead of 28 days. That means there are 366 days in a…

A: Given in a Leap year there are 29 days in February instead of 28 days and the total days in a leap…

Q: (1) An organization sponsored a raffle where they were to sell all 500 tickets sequentially numbered…

A: (1) An organization sponsored a raffle where they were to sell all 500 tickets sequentially numbered…

Q: On Saturday 78% of the breakfast customers at marks restaurant ordered orange juice. If 33 customers…

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Q: A caterer offers 3 kinds of soup, 7 kinds of main dish, 4 kinds of vegetable dish, and 4 kinds of…

A:

Q: 5 (a). How many 5-digit zip codes are possible if digits can be repeated? 5 (b). If digits cannot be…

A: Permutation: Permutation is an arrangement of items in a specified order. In permutation, both the…

Q: An ice cream store sells 25 flavors of ice cream. Determine the number of possible 7-dip sundaes.…

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Q: 20 people enter a writing contest. In how many ways can the 1stprize, 2ndprize, and 3rdprize be…

A: According to the given statement

Q: Two hundred college students were recently asked if they participated in music or sports. 127…

A: Solution

Q: Aisha, DarnellI, Maura, and Isaiah have been invited to a dinner party. If they each drive there…

A: Given data

Q: 7 sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways can…

A: Given : 7 sprinters have made it to the Olympic finals in the 100-meter raceans the gold, silver,…

Q: o How many three-letter initials can people have? o How many three-letter initials with none of the…

A:

Q: 1 In 2011 there were approximately 5 billion pennies minted. If all of these pennies were placed in…

A: A penny is about 1/16 of an inch thick.

Q: 1. Kevin is John's father. Kevin is 51 years old. Three years ago, Kevin was four times as old as…

A: John is 20 years old now.

Q: Prove that the sum of any three consecutive numbers is divisible by 3

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Q: How many of terms og GP 3,9,27,81,.... must be taken to make the sum 3279

A:

Q: A.) During which month is Herb incur the most expenses? B.) During which month did Lis incur the…

A: Most expenses is the point on the graph, when it takes the peak value, whereas least expensive is…

Q: n how many ways can 6 women and 3 men be seated in a row of 9 seats at a movie theatel assuming that…

A: Number of women = 6 number of men = 3

Q: 90% of all children spend at least how many hours per day unsupervised? hours.

A: We have given that.   X~N( μ , ?^2 )   μ=2.9 , ? =1.3   Z-score =( x - μ )/?

Q: There are 6 adult drivers to each teenage driver in a city. If there are 14,976 adult drivers in the…

A: We have to solve the problem as per instructions given in the question.

Q: How many even 4-digit numbers can be formed from the digits 1, 2, 6, 7, and 9 with no repetitions…

A: There is no repetition allowed.. At unit place we have two choices 2 or 6 In 10th place we have…

Q: Find the number of different ways that a family of 6 can be seated around a circular table with 6…

A: Given Total members of family = 6

Q: The Cotters are throwing a party. The first time the door bell rings, 1 guest enters. On the second…

A: Given: The Cotters are throwing a party. The first time the door bell rings, 1 guest enters. On the…

Q: (b) Find the sum of the first 110 positive odd integers.

A: Our Aim is to find the sum of the first 110 positive odd integers.

Q: Q4: Consider the 6-digit numbers, with distinct digits (no repetition), that can be formed using the…

A:

Q: Q4: Consider the 5-digit can be formed using the digits 0-9 mbers, with distinct digits (no…

A:

Q: A baseball pitcher threw 3678  pitches during part of a recent season. Of these, 1681 were thrown…

A: From the given information,In a baseball,Total number of pitches (N) =3678Number of no strikes(X) =…

Q: Use the formula for nPr to solve:In a race in which six automobiles are entered and there are no…

A: Given: Total number of cars is n=6. Determine the number of ways in which first three finishers…

Q: Six people gathered to watch at a rally campaign and eat on a food kiosk after the campaign. In how…

A: Six people gathered to watch at a rally campaign and eat on a food kiosk after the campaign.  We…

Q: Find the sum of all even integers from 10 to 500

A: Sum of all even integers from 10 to 500 .

Q: that if 3 divides the sum of the digits of n, then 3|n

A:

Q: 12. . In a birthday party, every person shakes hand with every other person. If there was a total of…

A:

Q: An object with negligible air resistance is dropped from the top of theWillis Tower in Chicago at a…

A: In this question we will use basic of algebra. We will simply write an expression of equations of…

Q: For which values of n does n! have n or fewer digits

A: Solution is as follows

Q: (6) Find the sum of the integers for 7 to 508 Tmelusive,

A: first term (a0) = 7last term( an) = 508,     d = 1 ( natural no.)first we have to find total no of…

Q: b. Assume prior studies have shown that about 40% of full-time students earn bachelor's degrees in…

A: It is given that margin of error (E) is 0.05 and the confidence level is 0.90.

Q: How many times greater is the value of the digit 6 in 536,807 than value of the digit 6 in 392,601?…

A: GivenDigit 6 in 536807Digit 6 in 392601

Q: (a) In a 12-horse race, how many exactas are possible? (b) In a 12-horse race, how many trifectas…

A: Here as per policy i have calculated first main question Here use combination

Q: If you make $46,800 and get $2600 raises each year, in how many years will your salary double?…

A: Fixed salary + 2600 times number of years= double of fixed salary Let the number of years is t.…

Q: How many ways can 10 people line up at the front of a class if Billy and Samantha are together? O…

A:

Q: How many 3-digit numbers with no repeated digits contain a 3, but no 6 and no 7?

A: The 3 digit numbers with no repeated digits. There are 10 digits from 0-9.

Q: Arne, Bob, and Chuck have reserved three seats in a row at the theater, starting at an aisle seat.…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: Explain why the number of combinations of n items taken rat a time can be computed by - r!

A: nPr represents the number of ways in which we can arrange r terms from n terms. Here order matters.…

Q: If Mahmood has 16 cars in his company and every year he adds 6 cars, then how many cars will he own…

A: Initial no of cars =  16 cars every years he adds 6 cars. so he added total cars in 8 years = 8 x 6…

Q: A credit card company offers an annual 2% cash-back rebate on all gasoline purchases. If a family…

A:

Q: Newer Ontario license plates for commercial vehicles have two letters of the alphabet followed by a…

A: In the English Alphabet there are 26 letters. The two letters can be selected in 26*26 ways. The 5…