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aleksley [76]
3 years ago
7

Consider function f.

Mathematics
2 answers:
tino4ka555 [31]3 years ago
7 0

Answer:

Step-by-step explanation:

Check for continuity by evaluating 2^x and -x^2 - 4x + 1 at the break point x = 0:  2^0 is 1 and -x^2 - 4x + 1 is also 1, so these two functions approach the same value as x approaches 0.

Now do the same thing with

-x^2 - 4x + 1 and (1/2)x + 3 at x = 2; the first comes out to -11 and the second to 4.  Thus, this function is not continuous at x = 2.  

We must reject statement A.

Statement B:  as x increases without bound, (1/2)x + 3 also increases without bound.  This statement is true.

Statement C:  False, because the quadratic -x^2 - 4x + 1 has a maximum at

x = -b/[2a], or x = -(-4)/[-2], or x = -2

Statement D:  True:  there are no limitations on the values of the input, x.

Ronch [10]3 years ago
7 0

Answer:

B

Step-by-step explanation:

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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
a math class has a test today there are 30 problems on the test the test has two types of problems multiple choice problems and
Misha Larkins [42]
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6 0
3 years ago
Write the range of the function using interval notation.
nalin [4]

Given:

The graph of a function.

To find:

The range of the given function using interval notation.

Solution:

Range: The set of y-values or output values are known as range.

From the given graph, it is clear that the function is defined for 0 and the values of the functions lie between -2 and 2, where -2 is excluded and 2 is included.

Range =\{y|-2

The interval notation is:

Range =(-2,2]

Therefore, the range of the given function is (-2,2].

3 0
3 years ago
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He will have 30 % in 2 years which is 30.00 dollars
6 0
2 years ago
Read 2 more answers
Simplify: 10 • 12 + - 15 divided by 5 + 2 (9-4)
Ket [755]
Alright. So the problem is

10*12+-15/5+2(9-4)

Lets break down what we can for now

First focus on parenthesized, multiplying, and dividing in the problem.

10*12=120 15/5=3 (9-4)=5

120+-3+2*5

So the next step, we see 2*5 and a negative -3 on top of a positive symbol.

2*5=10

120-3+10

Now subtract from the left to the right and get your answer.

120-3=117

117+10=127


7 0
3 years ago
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