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egoroff_w [7]
3 years ago
15

Please help me Determine the value of base b if (152)b = 0x6A. Please show all steps.

Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0

Answer:

The value of b is, 8

Step-by-step explanation:

To determine the value of b:

Given:

(152)_b = 0x6A               ....[1]

Since, 0x6A represents the hexadecimal form.

To convert this hexadecimal form into decimal form:

(6A)_{16}= (6 \times 16^1)+(A \times 16^0)=(6 \times 16)+(10 \times 1) =96+10 = 106

⇒0x6A=106(decimal form)

Now we have to convert this decimal form into octal

8  |  106

8   |  13   | 2

    |   1    |  5

        1

Then, the octal form we get, (152)_8

Substitute this in [1] we have;

(152)_b = (152)_8

On comparing both sides we have;

b = 8

Therefore, the value of b is, 8

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The correct option is;

The first twenty-five customers

Step-by-step explanation:

For the given data, by calculation, we have;

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The average of the first twenty customers = 12.5

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Therefore both the first ten customers and the first twenty-five customers have good representation of the population mean with the mean of the first ten customers having a value of 11.6 is more closer to the population mean than the mean of the first twenty-five customers

However, by the central limit theorem, as the size of the sample continues to be increasingly larger, it becomes more and more representative of the population mean, this is more so because when the data is sorted, the population mean will be better represented by the mean of a large sample size

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Solve 6y2-5y-6 = 0 using the quadratic formula.
sergejj [24]

Answer:

Ay=3 over 2 or y=-2 over 3

Step-by-step explanation:

the quadratic formula: y={-b±√(b²-4ac)}/2a

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Substituting for the values in the formula we get:

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4 0
3 years ago
Read 2 more answers
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