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geniusboy [140]
3 years ago
15

Find the sum of all numbers 1 to 1000

Mathematics
1 answer:
Novay_Z [31]3 years ago
8 0

Answer:

it is 500500

Step-by-step explanation:

learned this fact a few years ago and it stuck with me.

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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
What is the simplest radical form of 45?
Hitman42 [59]
For this question I'm just going to use / as a square root sign because I don't know how to do it on a computer. Anyways...

So you have /45

Now you have to find a factor that is also a perfect square which is 9 (because 9x5=45)

So you now have /9x5

Since 9 is a perfect square (/9=3)

You can re write it is 3/5 which is the answer
4 0
3 years ago
What’s the equation of a line passing through the two points (-3,3) and (0,-1)
kirill [66]

Answer:

y = -4/3x - 1

Step-by-step explanation:

3 0
3 years ago
Samantha read 22 books in 4 months. How many books would she read in 10 months?
kari74 [83]

Well first let's find out how many books she reads in 1 month.
1) 22 (books) ÷4 (months)=5.5 she reads 5.5 books in one month.
Now we multiply 5.5 by the amount of months she will be reading.
2) 5.5 (books) ×10 ( months)=55 books
SAMANTHA WILL READ 55 BOOKS IN 10 MONTHS

8 0
3 years ago
Solve 13 - 2x &gt; 21<br>x&gt;-4<br>x &gt; -17<br>x&lt; -17<br>x&lt;-4​
kherson [118]

Answer:

x>-4

Step-by-step explanation:

13-2x > 21

-13 -13

-2x >8

(-2x)/(-2) >(8)/(-2)

x>-4

8 0
3 years ago
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