Find a set of consecutive counting numbers whose sum is 154. Each set may consist of 2 comma 3 comma 4 comma 5 comma or 6 consecutive integers. Use the spreadsheet activity Consecutive Integer Sum on our Web site to assist you.Give the smallest number of the set for each set. If there are no such numbers, put "x" as your answer.

Answers

Answer 1

Answer: so find conting number that add up to 156
use 2 number 3,4,5,6
I will do all of them

so consecutive number
to find them this is the equation
x is a number
x+1= next consecutive number so

the group of 2 numbers is
x+x+1=154

2x+1=154
subtract 1
2x=153
divie by 2
we want counting numbers and 153 is odd so odd divided by 2 is not a conting number so there are no 2 consecutive countin g numbers that satisfy these conditions
so there is no such number
the smallest number is x

group of 3 numbers is
x+x+1+x+2=154
3x+3=154
subtract 3
3x=151
divide by 3
the result is a non-counting number so there are no 3 consecutive counting numbers that satisfy these conditons
the smallest number is x

group of 4 numbers is
x+x+1+x+2+x+3=154
4x+6=154
subtract 6 from both sdies
4x=152
divide both sides by 4
x=38
the first number is 38
the set is
38,39,40,41
the smallest number is 38

group of 5 numbers is x+x+1+x+2+x+3+x+4=154
5x+10=154
subtract 10
5x=144
divide by 5
this will result in a non counting number so there is not 5 consecutive conungint numbers that satisfy these conditions
so the smallest number is x

group of 6 numbers is
x+x+1+x+2+x+3+x+4+x+5=154

6x+15=154
subtract 15
6x=139
divide by 6
this will result in a non counting nubmers that do knowt satisfy the condtions so the smalles tnumber is x

2 numbers:x
3 numbers:x
4 numbers:38,39,40,41
5 numbers:x
6 numbers:x

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Answers

It's past my bed-time and there's a whopping 5 points at stake, so
I'm going to violate my own #1 Prime Cardinal Rule here, and just
give a stripped down answer without going through a full explanation.

The number of combinations of 3 cows out of 7 is (7·6·5) / 3! = 35 .

The number of combinations of 2 pigs out of 4 is (4·3)/2 = 6

The number of combinations of 10 sheep out of 10 is 1 .

The number of ways he can select his animals is (35 · 6 · 1) = 210 .

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Hope that helped you.

2:3 is the answer...........

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Answer:

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Answers

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The airline industry defines an on-time flight as one that arrives within 15 minutes of its scheduled time. The following table shows the number of on-time and late flights leaving New York and arriving in Miami between November 1 and December 31, 2018, by airlines: Airlines On-Time Late Total United 254 72 326 Delta 292 65 357 American 235 58 683 Total 781 195 a. What is the probability that a randomly selected flight was Delta and was late? b. What is the probability that a randomly selected flight was United or was on-time? c. Given the flight was late, what is the probability that it was from American? d. Given the flight was from Delta, what is the probability that it was late? e. Construct a probability tree for these probabilities.

Answers

a) The probability is $\frac{65}{357}$.

b) The probability is $\frac{781}{1000}$.

c) The probability is $\frac{58}{195}$.

d) The probability is $\frac{65}{357}$.

e) We can construct a probability tree for these probabilities. Below is the probability tree:probability tree for airlines. Therefore, the above figure is the probability tree for airlines.

The probability that a randomly selected flight was Delta and was late is $\frac{65}{357}$.Therefore, the probability is $\frac{65}{357}$.

The probability that a randomly selected flight was United or was on-time is $\frac{781}{1000}$.Therefore, the probability is $\frac{781}{1000}$.

Given the flight was late, the probability that it was from American is $\frac{58}{195}$.Therefore, the probability is $\frac{58}{195}$.

Given the flight was from Delta, the probability that it was late is $\frac{65}{357}$.Therefore, the probability is $\frac{65}{357}$.

We can construct a probability tree for these probabilities. Below is the probability tree:probability tree for airlines. Therefore, the above figure is the probability tree for airlines.

Learn more about Probability

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