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maria [59]
4 years ago
13

When is -4.75 'more than' -2.25

Mathematics
1 answer:
meriva4 years ago
8 0

Answer:

if u add 2.5 and more u can also try to remove +

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3 years ago
Get brainly if right?<br> 10 points!
Hatshy [7]

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Tn = -13n +37

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3 years ago
The product of a positive number and 14 more than seven times the number is 105. Find the two numbers. first number =______ and
Nostrana [21]
Let the positive number be x

The expression is
x(14+7x)=105⇒ expanding the bracket gives,
14x+7 x^{2} =105 ⇒ rearranging to equate one side to zero
7x^{2} +14x-105=0 ⇒ Dividing each term by 7 to simplify
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(x+5)(x-3)=0
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Hence, the first number is -5 and the second number is 3

8 0
4 years ago
Read 2 more answers
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).

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3 years ago
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