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LUCKY_DIMON [66]
3 years ago
12

Craig Campanella and Edie Hall both have night jobs. Craig has every thirteenth night and Edie has every Fifth night off. How of

ten will they have same night off?
Mathematics
1 answer:
Andrews [41]3 years ago
6 0

Craig has every 13th night and Edie has every 5th night off.

You have to find LCM - the Least Common Multiple that is the smallest ("least") number that both 13 and 5 will divide into.

Since numbers 13 and 5 are both prime, then LCM(13,5)=13·5=65.

This means, they will have the same every 65th night off.  

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The first element in an arithmetic sequence is 2. Its twenty second is 14. Find the value of n so that a(n)=6
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Answer:

<h2>n = 8</h2>

Step-by-step explanation:

Given the nth term of an arithmetic sequence to be Tn = a+(n-1)d

a = first term of the sequence

n = number of terms

d = common difference.

Given the first element a = 2 and 22nd to be 14

T22 = a+(22-1)d = 14

a+21d = 14

Substtuting a = 2 into the equation to get d

2+21d = 14

21d = 12

d = 12/21

d = 4/7

The nth term of the sequence given a = 2 and d = 4/7 will be expressed as;

Tn = 2+(n-1)4/7

Given Tn = 6

6 = 2+(n-1)4/7

6 = 2+4/7 n - 4/7

6-2+4/7 = 4/7 n

32/7=4/7 n

32 = 4n

n = 32/4

n = 8

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3 years ago
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irinina [24]
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Write 9 decimals with three decimal places that when rounded to the nearest hundredth round to 4.56
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In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66.What
Lunna [17]

Answer:

We conclude that the lower limit of a box-and-whiskers display is 65.

We conclude that the upper limit of a box-and-whiskers display is 77.

Step-by-step explanation:

Definition: A box-and-whisker plot or boxplot is a diagram based on the five-number summarytext annotation indicator of a data set.

In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66.

We conclude that the lower limit of a box-and-whiskers display is 65.

We conclude that the upper limit of a box-and-whiskers display is 77.

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3 years ago
In the figure Line “P” is the ____?
Stella [2.4K]

Answer:

  "line of reflection."

Step-by-step explanation:

It appears as though the figure on the left is a reflection of the figure on the right across the line. Hence line P is the <em>line of reflection</em>.

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