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enyata [817]
3 years ago
5

How many pairs of whole numbers have the sum of 10

Mathematics
2 answers:
Shalnov [3]3 years ago
8 0

Answer:

5

Step-by-step explanation:

Just do it like this:

1 and 9

2 and 8

3 and 7

4 and 6

5 and 5

Tatiana [17]3 years ago
8 0

Answer:

11

Step-by-step explanation:

Whole numbers are all those numbers that are zero or greater then zero, so:

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, ......}

The list of the pairs is the following:

(0, 10)

(1, 9)

(2, 8)

(3, 7)

(4, 6)

(5, 5)

(6, 4)

(7, 3)

(8, 2)

(9, 1)

(10, 0)

Two pairs with the same numbers, but in different position are not the same thing. They are two different pairs.

For example, (2, 8) and (8, 2) are different. You can imagine them as points on a Cartesian coordinate system to understand why they are different. They are two different points.

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A national study report indicated that​ 20.9% of Americans were identified as having medical bill financial issues. What if a ne
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Answer:

The​ p-value for this​ test is 0.22065.

Step-by-step explanation:

We are given that a national study report indicated that​ 20.9% of Americans were identified as having medical bill financial issues.

A news organization randomly sampled 400 Americans from 10 cities and found that 90 reported having such difficulty.

<u><em>Let p = proportion of Americans who were identified as having medical bill financial issues in 10 cities.</em></u>

SO, Null Hypothesis, H_0 : p \leq 20.9%   {means that % of Americans who were identified as having medical bill financial issues in these 10 cities is less than or equal to 20.9%}

Alternate Hypothesis, H_A : p > 20.9%   {means that % of Americans who were identified as having medical bill financial issues in these 10 cities is more than 20.9% and is more severe}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                  T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of 400 Americans from 10 cities who were found having such difficulty =  \frac{90}{400} = 0.225 or 22.5%

            n = sample of Americans = 400

So, <u><em>test statistics</em></u>  =  \frac{0.225-0.209}{{\sqrt{\frac{0.225(1-0.225)}{400} } } } }

                               =  0.77

<u></u>

<u>Now, P-value of the test statistics is given by the following formula;</u>

         P-value = P(Z > 0.77) = 1 - P(Z \leq 0.77)

                                            = 1 - 0.77935 = 0.22065

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3 years ago
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Step-by-step explanation:

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=1

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