According to data released by FiveThirty Eight (data drawn on Monday, August 17th, 2020), Donald Trump wins an Electoral College majority in the 2020 US Presidential Election in 10,997 simulations out of a total of 40,000 simulations.
(a) I am interested in the probability that Donald Trump wins any one simulation from the Five Thirty Eight model. Write the parameter of interest. Write and calculate the estimate of your parameter using mathematical notation.
(b) Construct a 95% confidence interval for the parameter from (a), show at least 4 significant digits. I highly recommend using R, and only rounding at the end.
(c) TRUE or FALSE:
According to the FiveThirty Eight model, there is a 95% probability that the true parameter of interest from
(a) lies within your interval from (b).
(d) TRUE or FALSE:
If I were to repeat samples of 40,000 from the Five Thirty Eight model, I expect 95% of my sample statistics from (a) to lie within your interval from (b).
(e) TRUE or FALSE:
If I were to repeat samples of 40,000 from the FiveThirty Eight model, I expect 95% of samples to lead to 95% confidence intervals that cover the true parameter of interest from (a).
(f) People often misinterpret the FiveThirty Eight model to say that our previous results suggest that Donald Trump "shouldn't" or "won't" win the election. Explain why this is not a correct interpretation. Suggest, calculate, and explain an alternative conclusion from the simulation results that is more intuitive and interpretable.

Answer:

1/4

Step-by-step explanation:

12*50%=12*0.5=6 males

8*25%=8*0.25=2 females

2+6=8

2 out of 8 students are female

2/8=1/4

Answer:

Shape Number of Lines of Reflection Description

equilateral triangle 3 3 perpendicular bisectors of the sides

regular heptagon 7 7 perpendicular bisectors of the sides

regular octagon 8 4 perpendicular bisectors and 4 lines joining pairs of opposite vertices

Step-by-step explanation:

Answer:

9.0

Step-by-step explanation:

Mean = Sum of terms/Number of terms

For Data Set A

Mean = 32 + 30 + 49 + 45 + 33/5

= 189/5

= 37.8

For Data Set B

Mean = 30 + 26 + 27 + 37 + 24/5

= 144/5

= 28.8

Hence, the Mean difference is calculated as the absolute difference between the Mean of Data set A and Data set B

Mean Difference = 37.8 - 28.8

= 9.0

Step-by-step explanation:

In order to solve this question we use ratio and proportion

From the question

3 apples were sold for $2.00

Then

10 apples will be sold for what

That's

Hope this helps you

All we need to do is divide.

230.40 / 30 = $7.68

Therefore, he/she made $7.68 per hour.

Best of Luck!

Answer:

[tex]P(System) = 0.73304[/tex]

Step-by-step explanation:

Given

Reliability of:

A = 0.98

B = 0.85

C = 0.88

Required

Determine the overall reliability

The overall system reliability is calculated by multiplying the individual reliability of each subsystems;

i.e.

[tex]P(System) = P(A) * P(B) * P(C)[/tex]

[tex]P(System) = 0.98 * 0.85 * 0.88[/tex]

[tex]P(System) = 0.73304[/tex]

Hence, the overall reliability is  0.73304

Answer:

the answer is pythagoras thorium

Answer:

0.01

Step-by-step explanation:

Answer:

r=-3 FALSE

m<XYQ=7 TRUE

r=4 TRUE

Ray YQ bisects angle XYZ TRUE

Step-by-step explanation:

2r-1+3r-5=3r+2

5r-6=3r+2

2r=8

r=4

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

r=-3 FALSE

m<XYQ=7 TRUE (XYQ=2r-1=2(4)-1=8-1=7)

r=4 TRUE

Ray YQ bisects angle XYZ TRUE  (ZYQ=3r-5=3(4)-5=12-5=7.  Both XYQ and ZYQ=7, so ray YQ is the bisector)

I don't know what the 10 is for in your question.

Answer:

let the number of cows = x

let the number of chickens = y

since there are 42 heads:

x + y = 42

and since a cow has 4 legs, and a chicken has 2

4x + 2y = 144

from first equation:

x + y  = 42

x = 42 - y (now, we will substitute this in the second equation)

4(42 - y) + 2y = 144

168 - 4y + 2y  = 144

2y = 168 - 144

2y = 24

y = 12

now, we know the number of chickens. we will replace y with 12 in the first equation since it is more simpler

x + 12 = 42

x = 30

So, there are 30 cows and 12 chickens

Brainly it if you find the answer helpful

Answer:

608945 is the answer.

Step-by-step explanation:

Because..

After 14 hours the population of bacteria is 14190.

A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.

Given that Some populations, such as bacteria, can be expected under the right conditions to show exponential growth

If 5500 bacteria of a certain type are incubated under ideal conditions, then after t hours we expect to find [tex]5500(1.07)^{t}[/tex] bacteria present.

We need to find how many bacteria would we expect to find after 14 hours

To find this we have to replace t by 14

5500×(1.07)¹⁴

5500×2.58

14190

Hence, after 14 hours the population of bacteria is 14190.

To learn more on Exponential Decay click:

https://brainly.com/question/2193799

#SPJ2

Answer:

Please where is the x in the question

Answer:

Please where is the x in the question

Answer:

5 2/3

Step-by-step explanation:

Just keep simplifying 8/12 until you end up with 2/3

Find the GCF of both the numerator and denominator and you end up with 2/3

Just to make it clear 8/12 = 2/3

Answer:

A

Step-by-step explanation:

A rotation of 180 degrees about point P

Answer:

WF=34

Step-by-step explanation:

Point I lies between points W and F.

It means point WI + IF = WF

SO WI + IF = WF

WF = 15x – 21

WI= 7x-3

IF= 2x+4

WI + IF = WF

7x-3 +2x+4= 15x-21

7x+2x-15x= -21-4+3

-6x = -22

X= -22/6

X= 11/3

So WF = 15x – 21

WF= 15(11/3) -21

WF= 55-21

WF=34

Answer:

Step-by-step explanation:

Given Tyler test grades to be 77%, 62% 85% and 80%, to find its average in the class, we will find the mean of his grades.

Mean is the ratio of the sum of the grades to the total number of grades given.

[tex]mean (\overline x) = \frac{\sum Xi}{N}[/tex]

Xi are the individual grades

N is the total number of grades = 4

[tex]\overline x = \dfrac{77+62+85+80}{4} \\\overline x = \frac{304}{4}\\ \overline x = 76 % \\[/tex]

Hence his average in the class is 76%

Answer:

Step-by-step explanation:

You didn't say how many pieces. My answer is for 3 equal pieces.[tex]33\frac13\div3=(33+\frac13)\div3=33\div3+\frac13\div3=11+\frac13\times\frac13=11+\frac19=11\frac19[/tex]

For two it would be:

[tex]33\frac13\div2=(33+\frac13)\div2=33\div2+\frac13\div2=16\frac12+\frac13\times\frac12=\\\\=16\frac36+\frac16=16\frac46=16\frac23[/tex]

Answer:

$25 per house.

Step-by-step explanation:

h, is the variable in this sitution. Quite literally this means that # of hours is the only value that will CHANGE/be variable. Since $25 has no variable assigned with it, it will be constant.

Answer:

It is likely that the experimental probability of 3 will reach towards the theoretical probability of 3, if Dan rolled the number cube another 80 times.

Step-by-step explanation:

A number cube has 6 faces and contains the numbers from 1 to 6 on each of its faces.

And each number is equally likely to come.

i.e. Theoretical probability of each face = [tex]\frac{1}{6}[/tex]

Probability of any event E is given as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

It is given that number of times 3 occurs is 6 out of 20.

So, experimental probability of 3 = [tex]\frac{6}{20}=\frac{3}{10}[/tex]

Here, we can see that experimental probability of 3 is greater than that of theoretical probability of 3.

But the number of iterations here are smaller in number i.e. only 20.

As the number of iterations will increase, it is likely that the experimental probability of 3 will reach towards the theoretical probability of 3.

So, we can say that:

It is likely that the experimental probability of 3 will reach towards the theoretical probability of 3, if Dan rolled the number cube another 80 times.

Answer:

[tex]2\frac{4}{25}[/tex]

Step-by-step explanation:

The question asks:

2.16 = ???

The is a decimal number that can be converted to a mixed fraction

2.16 = 2 + 0.16

2 = whole number.

So, we are left with 0.16

We can convert this to a fraction

Since it is in 2 decimal places we Multiply by 100

=( 0.16 × 100)/ 100

= 16/100

We simplify this fraction and we have

= 4/25

Therefore,

2.16 = 2 + 0.16

2.16 = 2 + 4/25

2.16 = [tex]2\frac{4}{25}[/tex]

Answer: 12

Step-by-step explanation:

Since AC bisects ∠BAD, we know that ∠BAC and ∠CAD are equal to each other. To find x, we set them equal to each other.

9x-54=4x+6                              [subtract both sides by 4x]

5x-54=6                                      [add both sides by 54]

5x=60                                         [divide both sides by 5]

x=12

Now, we know that x is 12.

Answer:

The answer is a

Step-by-step explanation:

500 times 4 is 2,000

986 times 1.50 is 1,479

Therefore your answer is a

¯\(°_o)/¯

Answer:

Step-by-step explanation:

1)

a) x-y = 0

Reflexive :

x-x=0, where x and 0 are whole numbers is valid for all x

In this way, x-x is a number

Which infers that (x,x) ∈ R

In this way, R is reflexive

Symmetric :-

(x-y) is a whole number

Which infers - (x-y) is likewise a whole number

Which infers (y-x) is a number

In this way, (x-y) is a number infers that (y-x) is likewise a whole number

i.e If (x,y)∈R at that point (y,x)∈R

In this way, R is Symmetric.

Against Symmetric:-

(x,y)∈R

x-y=0, where x and y are whole numbers

Which infers x=y

Assume, (y,x)∈R

y-x=0, where x and y are whole numbers

Which infers y=x

Consequently, (x-y) is a whole number suggests (y-x) is additionally a whole number

for example In the event that (x,y)∈R at that point (y,x)∈R, where x=y

R is Anti-Symmetric.

Transitive:-

Given,

(x-y)∈R and (y-z)∈R - (I)

To demonstrate that,

(x,z)∈R

from (I)

x-y= 0 and y-z=0

Including both, we get

(x-y)+(y-z)=0

x-z=0

Consequently demonstrated that (x,y)∈R and (y,z)∈R infers that (x,z)∈R

Since the above connection is symmetric, reflexive advertisement transitive. Consequently, it is an identicalness connection.

b) x=|y|

Reflexive:-

x isn't reflexive.

Since for - 2

- 2 ≠|-2|, where - 2 is a whole number.

- 2≠|2|

Consequently, (x,x) isn't Reflexive.

Symmetric:-

(x,y)∈R, infers

x=|y|, where x and y are whole numbers ...(i)

Let x =-2 and y= - 2

- 2≠|-2|

- 2≠|2|

Which infers (x,y) itself doesn't have a place with R.

Consequently R isn't symmetric.

Against Symmetric:-

(x,y)∈R, suggests

x=|y|, where x and y are numbers

let x= - 2 and y =-2

- 2 ≠ |-2|

- 2≠|2|

R isn't hostile to symmetric.

Transitive:-

x=|y| and y=|z| ∈ R

let x=2, y=-2 and z= 2

infers that

2=|-2| and - 2≠|2|

for example 2=|2| and - 2∉|2|

In this way, R isn't transitive.

c) x+y is odd

Reflexive:-

x+x is even, where x is a whole number.

In this way, (x,x)∉R.

R isn't Reflexive.

Symmetric:-

(x,y)∈R

x+y is odd, where x and y are whole numbers

Additionally, (y,x) is odd

infers that y+x is additionally odd

In this way, (y,x)∈R

R is Symmetric.

Against Symmetric:-

(x,y)∈R

infers x+y is odd, where x and y are whole numbers

infers that y+x is additionally odd

In this way, (y,x)∈R

R is Anti-Symmetric.

Transitive:-

Given,

(x,y)∈R and (y,z)∈R, where x,y and z are whole numbers ...(i)

To demonstrate that

(x,z)∈ R

from (I)

x+y is odd and y+z is odd''

Including both we get

x+2y+z is odd

which infers (x,z)∉R

In this way, R isn't transitive.

2) x-y=0 is reflexive, symmetric and transitive in this way it is an equality connection.

while x=|y| and x+y is odd are not equality relations.

Answer:

[tex] \boxed{ \bold{ \huge{ { \sf{ - 13 {x}^{2} - 10x + 14}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 9x - x - 7 {x}^{2} - 6 {x}^{2} + 8 + 6}[/tex]

Collect like terms

⇒[tex] \sf{ - 7 {x}^{2} - 6 {x}^{2} - 9x - x + 8 + 6}[/tex]

⇒[tex] \sf{ - 13 {x}^{2} - 10x + 8 + 6}[/tex]

Add the numbers

⇒[tex] \sf{ - 13 {x}^{2} - 10x + 14}[/tex]

Hope I helped!

Best regards!!

Question:

Select expression that is mathematically equivalent to

[tex]\frac{x}{y-z} + (a-b)*c[/tex]

a) [tex]x/y - z + (a - b) * c[/tex]

b) [tex]x/(y - z) + (a - b) * c[/tex]

c) [tex]x/y - z + a - b * c[/tex]

d) [tex]x/(y - z) + a - b * c[/tex]

Answer:

[tex]x/(y - z) + (a - b) * c[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{y-z} + (a-b)*c[/tex]

Required

Determine its equivalent

Start by writing y - z in bracket;

[tex]\frac{x}{y-z} + (a-b)*c[/tex]

becomes

[tex]\frac{x}{(y-z)} + (a-b)*c[/tex]

When - is used as divide, it is equivalent to /

The given expression can then be rewritten as

[tex]x/(y - z) + (a - b) * c[/tex]

Hence;

[tex]\frac{x}{y-z} + (a-b)*c[/tex] is equivalent to [tex]x/(y - z) + (a - b) * c[/tex]

Answer:

(12,-1)

Step-by-step explanation:

Let the coordinates of v to be x and y

(4+x)/2=8

4+x=16

X=12

(5+y)/2=3

5+y=2×3

5+y=6

Y=-1

B(12,-1)