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Alex Ar [27]
3 years ago
11

In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?

Mathematics
1 answer:
Svetach [21]3 years ago
5 0

Answer:

PR5T represents <em>6754.</em>

P = 6

R = 7

T = 4

Y = 5

Step-by-step explanation:

Let us try to understand the subtraction starting from the unit's digit.

   P R 5 T

-  4 7 Y 6

-----------------

    1 9 9 8

To get 8, 6 should be subtracted from 14

14 - 6 = 8

So, T should be equal unit digit of 14 <em>i.e.</em> T = 4 and 1 should be carried over from the ten's digit of PR5T.

Now, let us move to ten's digit:

   P R 5 4

-  4 7 Y 6

-----------------

    1 9 9 8

To get 9, 6 should be subtracted from 15. But 1 is already carried to unit's place So, we have actually 14 here

14 - Y = 9

So, Y = 5

Moving to hundred's place:

R - carry - 7 = 9

Carry is 1, so R = unit's place of 9 + 8 i.e. R = 7

Moving to thousand's place:

P - carry - 4 = 1

Here carry is 1

So, P = 1 + 4 + 1 = 6

So, the number PR5T is <em>6754.</em>

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
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4 years ago
In 2006, 95% of new cars in the US came with a spare tire. In 2017, 72% came with a spare tire.
MArishka [77]

Using the Central Limit Theorem, it is found that:

  • The mean is 0.23.
  • The standard deviation is s = \sqrt{\frac{0.95(0.05)}{250} + \frac{0.72(0.28)}{250}}.

<h3>Central Limit Theorem</h3>
  • It states that for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportions has mean p and standard deviation s = \sqrt{\frac{p(1 - p)}{n}}
  • When two variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

In 2006, 95% of new cars in the US came with a spare tire, with a sample of 250, hence:

p_1 = 0.95, s_1 = \sqrt{\frac{0.95(0.05)}{250}}

In 2017, 72% of new cars in the US came with a spare tire, with a sample of 250, hence:

p_2 = 0.72, s_2 = \sqrt{\frac{0.72(0.28)}{250}}

Hence, for the distribution of differences:

p = p_1 - p_2 = 0.95 - 0.72 = 0.23

s = \sqrt{s_1^2 + s_2^2} = \sqrt{\frac{0.95(0.05)}{250} + \frac{0.72(0.28)}{250}}

To learn more about the Central Limit Theorem, you can take a look at brainly.com/question/16695444

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2 years ago
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