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Nana76 [90]
3 years ago
6

Which ordered pair is a solution to the system?

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
8 0

Answer:

A.

Step-by-step explanation:

5>4

6>2

5 is greater than 4, 6 is greater than 2

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According to data released by FiveThirty Eight (data drawn on Monday, August 17th, 2020), Donald Trump wins an Electoral College
sineoko [7]

Answer:

a) P = 0.274925

b) required confidence interval = (0.2705589, 0.2793344)

c) FALSE

d) FALSE

e) TRUE

f) There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

Step-by-step explanation:

a)

PROBABILITY

since total number of simulations is 40,000 and and number of times Donald Trump wins an Electoral College majority in the 2020 US Presidential Election is  10,997

so the required Probability will be 10,997 divided by 40,000

P = 10997 / 40000 = 0.274925

b)

To get 95% confidence interval for the parameter in question a

(using R)

>prop.test(10997,40000)

OUTPUT

1 - Sample proportion test with continuity correction

data: 10997 out of 40000, null probability 0.5

x-squared = 8104.5, df = 1, p-value < 2.23-16

alternative hypothesis : true p ≠ 0.5

0.2705589  0.2793344

sample estimate

p

0.274925

∴ required confidence interval = (0.2705589, 0.2793344)

c)

FALSE

This is a wrong interpretation of a confidence interval. It indicates that there is 95% chance that the confidence interval you calculated contains the true proportion. This is because when you perform several times, 95% of those intervals would contain the true proportion but as the confidence intervals will vary so you can't say that the true proportion is in any interval with 95% probability.

d)

FALSE

Once again, this is a wrong interpretation of a confidence interval. The confidence interval tells us about the population parameter and not the sample statistic.

e)

TRUE

This is a correct interpretation of a confidence interval. It indicates that if we perform sampling with same sample size (40000) several times and calculate the 95% confidence interval of population proportion for each of them, then 95% of these confidence interval should contain the population parameter.

f)

The simulation results obtained doesn't always comply with the true population. Also, result of one simulation can't be taken for granted. We need several simulations to come to a conclusion. So, we can never ever guarantee based on a simulation result to say that Donald Trump 'Won't' or 'Shouldn't' win.

There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

5 0
3 years ago
Simplify using order of operations.Show all your work. 4^3 + (`10-8) divided by 2
Igoryamba

Answer:

<h2>65</h2>

Step-by-step explanation:

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

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

4^3+(10-8)\div2=64+2\div2=64+1=65

3 0
3 years ago
Write 0.2 as a fraction in simplest form.
Reika [66]

Hi ;-)

0,2=\dfrac{2}{10}=\dfrac{2:2}{10:2}=\boxed{\frac{1}{5}}

7 0
3 years ago
Read 2 more answers
Find a formula for the linear function with slope -9 and x-intercept 2.
gregori [183]
Hello : 
<span> formula for the linear function with slope -9 and x-intercept 2 is : 
y - 0 = -9(x-2)
y= -9x +18

</span>
4 0
3 years ago
a boy sold his bike and accessories for $168 if he received 3 times as much for the bike as for the accessories how much did he
Veronika [31]
168/4 to get the bike and the accessories to get 42
42x3=126
3 0
3 years ago
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