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umka2103 [35]
3 years ago
8

Dave wants to buy a new collar for each of his 4 cats. The collars come in a choice of 8 different colors. How many selections o

f collars for the 4 cats are possible if repetitions of colors are allowed?
Mathematics
1 answer:
irga5000 [103]3 years ago
4 0

Answer:

4096.

Step-by-step explanation:

We have been given that Dave wants to buy a new collar for each of his 4 cats. The collars come in a choice of 8 different colors. We are asked to find the number of selections of collars for the 4 cats if repetitions of colors are allowed.

Since repetitions are allowed, so collars for each cat be chosen in 8 different ways.

Total number of selections would be 8\times 8\times 8\times 8=4096

Therefore, there are 4096 possible selections of collars.

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Step-by-step explanation: The Additive Inverse tells us that if we add

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3 years ago
A survey of 1282 student loan borrowers found that 440 had loans totaling more than $20,000 for their undergraduate education. G
Xelga [282]

Answer:

The 98% confidence interval of the proportion = (0.312, 0.374)

Step-by-step explanation:

(Give answers accurate to 3 decimal places.)

The formula for Confidence Interval of Proportion is given as:

p ± z × √p(1 - p)/n

Where p = Proportion = x/n

x = 440

n = 1282

p = 440/1282 = 0.34321372854

Approximately = 0.343

z = z-score of 98 % confidence interval

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Confidence Interval =

= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282

= 0.343 ± 2.326 × √0.225351/1282

= 0.343 ± 2.326 × √0.00017578081

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0.343 - 0.03083865589

= 0.31216134411

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0.343 + 0.03083865589

= 0.37383865589

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6 0
3 years ago
A production manager tests 10 batteries and finds that their mean lifetime is 468
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Solve linear equation 1/4 x + 18 = X
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Answer:

24

Step-by-step explanation:

1 / 4 x + 18 = x

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3x / 4 = 18

3x = 18 * 4

x = ( 18 * 4 ) / 3

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x = 24

3 0
3 years ago
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