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Novosadov [1.4K]
3 years ago
6

Write the sum 54+63 as the product of a number and relatively prime addends

Mathematics
2 answers:
lidiya [134]3 years ago
5 0
54+63=117
117=9*13
54+63=9*13

Hope this helps :)
Marat540 [252]3 years ago
5 0

Answer:

13\times 9

Step-by-step explanation:

We are given that 54+63

We have to find the sum as the product of relatively prime numbers

In order to find the numbers we will find first sum and then factor

Sum=54+63=117

Factors of 117 are 13 and 9

117=13\times 9

13 and 9 are relatively prime because the gcd of 13 and 9 is 1.

Hence, 54+63=13\times 9

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Answer: $28-$33

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3 years ago
The cost of 5 gallons of ice cream has a standard deviation of 7 dollars with a mean of 25 dollars during the summer. What is th
victus00 [196]

Answer:

0.000221

Step-by-step explanation:

Using the z score formula when a random number of samples is given =

z = (x-μ)/σ/√n, where

x is the raw score

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σ is the population standard deviation = 7

n is random number of samples = 83

Note that:2.2 dollars = x-μ

z = 2.2/7/√8.3

z = 3.51402

Probability value from Z-Table:

P(x<27.7) = 0.99978

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Hence, the probability that the sample mean would differ from the true mean by greater than 2.2 dollars if a sample of 83 5-gallon pails is randomly selected is 0.000221

4 0
3 years ago
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3 years ago
A number cube with faces labeled from 1 to 6 will be rolled once.
tresset_1 [31]

Question:

A number cube with faces labeled from 1 to 6 will be rolled once.  The number rolled will be recorded as the outcome.

Give the sample space describing all possible outcomes.  Then give all of the outcomes for the event of rolling a number greater than 2.

If there is more than one element in the set, separate them with commas.

Answer:

S = \{1,2,3,4,5,6\}

Greater2 = \{3,4,5,6\}

Step-by-step explanation:

Given

A roll of a 6 sided number cube

Solving (a): The sample space

This implies that we list out all number on the number cube.

So:

S = \{1,2,3,4,5,6\}

Solving (b): Outcomes greater than 2

This implies that we list out all number on the number cube greater than 2 i.e. 3 to 6.

So:

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3 0
3 years ago
Samantha has a shelf that is 95 over 4 inches wide. How many books can Samantha arrange on the shelf if each book is 5 over 4 in
love history [14]

Answer:

Option 1 - 19, because the number of books is 95 over 4 divided by 5 over 4

Step-by-step explanation:

Given : Samantha has a shelf that is 95 over 4 inches wide.

To find : How many books can Samantha arrange on the shelf if each book is 5 over 4 inches thick?

Solution :

The thickness of shelf = \frac{95}{4} inches

Each book thickness = \frac{5}{4} inches

Let the total number of books that could be arranged in the shelf be 'n'.

\text{Number\ of\ books\ arranged}=\dfrac{\text{Thickness\ of\ shelf}}{\text{Thickness\ of\ one\ book}}

Substitute the values,

n=\dfrac{\dfrac{95}{4}}{\dfrac{5}{4}}

n=\dfrac{95\times 4}{5\times 4}

n=\dfrac{95}{5}

n=19

Therefore, option 1 is correct.

19, because the number of books is 95 over 4 divided by 5 over 4

4 0
3 years ago
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