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3 years ago

What expression means the same as 9 divided by 10

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

3 0

Answer:

9/10.

Step-by-step explanation:

To determine what expression means the same as 9 divided by 10, the following logical reasoning must be carried out:

Since 9 integers are distributed among 10 dividends, this implies that these 10 will obtain a portion of those 9 integers, that is: 9/10, which gives a total of 0.90.

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Thirty-seven percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4,

lesantik [10]

Answer:

a) The sampling distribution for n=540 has a mean sample proportion of p=0.37 and a standard deviation of σs=0.0208.

b) probability = 0.99998

d) probability = 0.99874

e) You gain 0.12% in probability for an increase of 80% in sample size.

The increase in sample size is not justified by the increase in probability, for this margin of error (Δp=0.09).

Step-by-step explanation:

a) We have a known population proportion π=0.37 and we have to describe the sampling distribution when the sample size is n=540.

The mean sample proportion is expected to be the same as the population proportion:

$\bar p = \pi = 0.37$

The standard deviation of the sampling will be the population standard deviation divided by the square root of the sample size:

$\sigma_s=\dfrac{\sigma}{\sqrt{n}}=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.37*0.63}{540}}=\sqrt{0.000431667}=0.0208$

Then, we can say that the sampling distribution will have a p=0.37 and a standard deviation σs=0.0208.

b) We have to calculate the probability that the sample proportion will be within 0.09 of the population proportion.

We can calculate the z-value as:

$z_1=\dfrac{p_1-\bar p}{\sigma_s}=\dfrac{0.09}{0.0208}=4.3269\\\\\\z_2=\dfrac{p_2-\bar p}{\sigma_s}=\dfrac{-0.09}{0.0208}=-4.3269$

As the distribution is symmetrical, we can calculate the probabilty that he sample proportion will be within 0.09 of the population proportion as:

$P(|p-\bar p|$

probability = 0.99998

d. Now the sample is smaller (n=300), so the standard deviation of the samping distribution:

$\sigma_s=\dfrac{\sigma}{\sqrt{n}}=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.37*0.63}{300}}=\sqrt{0.000777}=0.0279$

We have to recalculate the z-scores:

$z_1=\dfrac{p_1-\bar p}{\sigma_s}=\dfrac{0.09}{0.0279}=3.2258\\\\\\z_2=\dfrac{p_2-\bar p}{\sigma_s}=\dfrac{-0.09}{0.0279}=-3.2258$

And the probability is:

$P(|p-\bar p|$

probability = 0.99874

e. The increase in sample size is 80%

$\Delta n\%=\dfrac{n_1}{n_2}-1=\dfrac{540}{300}-1=1.8-1=0.8=80\%$

and the increase in probability is 0.12%

$\Delta P\%=\dfrac{P_1}{P_2}-1=\dfrac{0.99998}{0.99874}-1=1.0012-1=0.0012=0.12\%$

You gain 0.12% in probability for an increase of 80% in sample size.

The increase in sample size is not justified by the increase in probability, for this margin of error (Δp=0.09).

7 0

3 years ago

Volume is the amount of blank inside a three-dimensional figure

Softa [21]

Answer: Volume is the amount of enclosed space inside a three dimensional figure.

Step-by-step explanation:

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3 years ago

Please help me with this homework please from 1 to 4 and the check

antoniya [11.8K]

Answer:

1. x=1

2. y=5

3. m=-6

4. z=3

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is 30/65 in simplest form?

mart [117]

Answer:

Hi, there!

What is 30/65 in simplest form?

30/65 simplified to lowest terms is 6/13.

Writing a fraction in its simplest form means that the top and bottom numbers can no longer be divided by the same whole number exactly or evenly

xXxAnimexXx

Have a great day!

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3 years ago

Find the number of solutions of the equation. 0 = x2 + 2x + 9

Aloiza [94]

$x^2+2x-9=0\\
\Delta=2^2-4\cdot1\cdot(-9)=4+36=40\ \textgreater \ 0\Rightarrow\text{two solutions exist}$

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3 years ago