Let S={1,4,8,16,32,64} be a sample space. If P(1)=132 and P(2k)=21−k for 2≤k≤6, find the expected value of the event E={1,8,32,64}. Give your answer as a fraction in its simplest form. Provide your answer below:

Answers

Answer 1

Answer:

Step-by-step explanation:

193/32


Related Questions

Find Each Sum.
1) (-1)+(-46)=
2) (-30)+10=
3) (-34)+50=
4) 38+(-5)=

Answers

Answer:

1 is -47.

2 is -20

3 is 16.

4 is 33.

Step-by-step explanation:

Brainiest?

1. -47
2. -20
3. 16
4. 33

(Will give you alot of points please help ASAP)Are these ratios equivalent?

5 altos for every 4 sopranos

15 altos for every 13 sopranos

Group of answer choices

Yes

No

Answers

Answer:  No

==================================================

Work Shown:

(5 altos)/(4 sopranos) = (15 altos)/(13 sopranos)

5/4 = 15/13

13*5 = 4*15 .... cross multiply

65 = 60

The last equation is false, so the first equation is false

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

Alternative ratio

(5 altos)/(15 altos) = (4 sopranos)/(13 sopranos)

5/15 = 4/13

5*13 = 15*4

65 = 60

We end up with the same false equation

The given values are not in the same proportion.

The ratios are not equivalent.

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

Yet another way to look at it

Note the jump from 5 altos to 15 altos is "times 3"

So if we started with 4 sopranos, then we must have 4*3 = 12 sopranos as our next count.

If the second line changed "13 sopranos" to "12 sopranos", then we would have equivalent ratios.

It’s no even though someone else already answered it:/

BI
Challenge 2
A: Can you find the
area of the circle?
r=x +1
B: Can you find the
circumference of
the circle?

Answers

Answer:

Area of the circle = pi * r^2 = pi * (x+1) ^ 2

Circumference of the circle = 2* pi * r = 2*pi*(x+1)

4 km - 280 m
what is the answer​

Answers

Answer:

Look at step-by-step

Step-by-step explanation:

Either 120 m or 1.2 km

Answer:

3.72 kilometers

Step-by-step explanation:

just subtract man

George is making an xylophone. So far, he has bars that are 1.75 feet, 1 and 7/12 feet, and 1 2/3 feet long. What is the length of the longest bar.

Answers

12/3=4.HAVE A GOOD DAY.GOOD LUCK

Is 4.95 a terminating decimal

Answers

Answer:

Definitely

since the definition of a terminating decimal is one that has an ending, and a Repeating decimal is one that never ends.

Step-by-step explanation:

Ms Liu has $40 to buy water and popcorn at the movie theater. Popcorn costs $8 per bag and water costs 3$ per bottle. write an algebraic expression that will be used to find the amount of money left when Ms. Liu 3 bags of popcorn and 4 bottles of water.

Answers

Answer:

S = 1 bag of popcorn

Y = 1 water

Step-by-step explanation:

S x 3 + Y x 4 = R

40 - R = (The Answer)

Uma caixa contém 40 bolinhas de jogo de tênis, sendo 10 verde, 14 azuis e 16 vermelhas. Retirando uma bola ao acaso da caixa, qual a probabilidade desta bola ser vermelha? Assinale a alternativa correta, que representa a probabilidade desta situação.
qual dessas quatro e a resposta .
14 / 40
15 / 40
16 / 40
17 / 40

Answers

Answer:

p = 15/40

Step-by-step explanation:

Since the total number of marbles is 40, that is our size of the sample. there are 16 red ones on that sample, so the probability of extracting a red marble from the box is given by the ratio of successes divided the total number of marbles:

p = 15/40

what is the answer to this question

Answers

Answer:

i think i am going to pick a random letter because i cant see it ts blocked so i guess c

Step-by-step explanation:

When the author visited Dublin, Ireland (home of Guinness Brewery employee William Gosset, who first developed the t distribution), he recorded the ages of randomly selected passenger cars and randomly selected taxis. The ages can be found from the license plates. (There is no end to the fun of traveling with the author.) The ages (in years) are listed below. We might expect that taxis would be newer, so test the claim that the mean age of cars is greater than the mean age of taxis. Use α= 0.05 significance level to test the claim that in Dublin, car ages and taxi ages have the same variation.

Car Ages 4 0 8 11 14 3 4 4 3 5 8 3 3 7 4 6 6 1 8 2 15 11 4 1 6 1 8
Taxi Ages 8 8 0 3 8 4 3 3 6 11 7 7 6 9 5 10 8 4 3 4

Answers

Answer:

The  Decision Rule

Fail to reject the null hypothesis

The conclusion

 There is no sufficient evidence to support the claim that the mean age of the cars is greater than that of taxi

Step-by-step explanation:

From the question we are told that

   The data is  

      Car Ages 4 0 8 11 14 3 4 4 3 5 8 3 3 7 4 6 6 1 8 2 15 11 4 1 6 1 8

     Taxi Ages 8 8 0 3 8 4 3 3 6 11 7 7 6 9 5 10 8 4 3 4

      The  level of significance [tex]\alpha = 0.05[/tex]

 Generally the null hypothesis  is  [tex]H_o  :  \mu_1 - \mu_2  = 0[/tex]

                  the alternative hypothesis is   [tex]H_a  :  \mu_1 - \mu_2 >  0[/tex]

Generally the sample mean for the age of  cars is mathematically represented as

        [tex]\= x_1 = \frac{\sum x_i }{n}[/tex]

=>     [tex]\= x_1 = \frac{4+ 0+ 8 +11 + \cdots + 8 }{27}[/tex]

=>     [tex]\= x_1 = 5.56[/tex]

Generally the standard deviation of age of  cars

     [tex]\sigma _1  = \sqrt{\frac{\sum (x_i - \= x)^2}{n_1} }[/tex]

=>  [tex]\sigma _1  = \sqrt{\frac{(4 - 5.56)^2 + (0 - 5.56)^2+ (8 - 5.56)^2 + \cdots + 8}{ 27} }[/tex]

=>  [tex]\sigma _1  =  3.88 [/tex]

Generally the sample mean for the age of taxi is mathematically represented as

        [tex]\= x_2 = \frac{\sum x_i }{n}[/tex]

=>     [tex]\= x_2 = \frac{8 +8 +0  + \cdots + 4 }{20}[/tex]

=>     [tex]\= x_2 = 5.85 [/tex]

Generally the standard deviation of age of  taxi

[tex]\sigma _2  = \sqrt{\frac{\sum (x_i - \= x)^2}{n_1} }[/tex]

=>  [tex]\sigma _2  = \sqrt{\frac{(8 - 5.85)^2 + (8 - 5.85)^2+ (0 - 5.85)^2 + \cdots + 8}{ 20} }[/tex]

=>  [tex]\sigma _2  = 2.83 [/tex]

Generally the test statistics is mathematically represented as

   [tex]t = \frac{(\= x_ 1 - \= x_2 ) - 0}{\sqrt{\frac{\sigma^2_1}{n_1}  + \frac{\sigma^2_2}{n_2} }  }[/tex]

=> [tex]t = \frac{(5.56 - 5.85 ) - 0}{\sqrt{\frac{(3.88)^2}{27}  + \frac{(2.83)}{20} }}[/tex]  

=> [tex]t = -0.30 [/tex]  

Generally the degree of freedom is mathematically  represented as

   [tex]df =  n_1 + n_2 -2[/tex]

    [tex]df =  27 +  20 -2[/tex]

    [tex]df =  45[/tex]

From the t distribution table  the [tex]P(t >  t )[/tex] at the obtained degree of freedom = 45 is  

   [tex]P(t >  -0.30 ) = 0.61722067[/tex]

So  the  p-value  is

    [tex]p-value  =  P(t >  T) =  0.61722067[/tex]

From the obtained values we see that the  p-value  >  [tex]\alpha [/tex] hence we fail to reject the null hypothesis

Hence the there is no sufficient evidence to support the claim that the mean age of the cars is greater than that of taxi

I need help !!!!!!!

Answers

Solution (5) :

Given , KM = 22

Then JL =

This trapezoid is an isosceles trapezoid which means its diagonals will be equal . So ,

KM = JL ( the diagonals in an isosceles trapezoid are congruent )

22 = JL

JL = 22

Therefore , JL = 22 .

Solution (6) :

Given , DF = 8.7

Then , EG =

Since this trapezoid is an isosceles trapezoid , its diagonals will be equal . So ,

DF = EG ( the diagonals in an isosceles trapezoid are congruent )

8.7 = EG

EG = 8.7

Therefore , EG = 8.7 .

Where is the vertex of f(x) = -2x - 3| +6.4?

Answers

(-2x-19.2) I think that is the answer :(

i mark as brainliest ​

Answers

Answer:

I want to say 6.75 just because it's to small tho

Step-by-step explanation:

Answer:It's -6.75 because you can see the halfway point and how the dot is closer to -7 than -6 meaning it's bigger than -6.5

Step-by-step explanation:

Simplify each of the following powers of i.
i^99

Answers

Answer:

i= sqrt (-1)

If the power is

- even then the value could be -1 or 1

-odd then the value could be -i or i

99 is odd so now is

-i if (99+1)/2 is even or is

i is (99+1)/2 is odd

Now check (99+1)/2= 100/2= 50,

50 is even so

i^99 = -i

Step-by-step explanation:

Give the person brainliest

plz help me out with this idk if i did it right<3

Answers

Answer:

The first and third ones are correct

Step-by-step explanation:

Hope this helps (:

Answer:

The 4th and 5th one seem to be correct.

Please help thank you

Answers

Answer:

1/144

Step-by-step explanation:

You multiply the top and bottom by itself because its to the second and you get rid of the negative because negative multiplied by a negative is positive

Help me please I really need help

Answers

Answer:

it doesn't because it's not a set of ordered pairs

I need help ASAP. thank you in advance!

Answers

Answer:

True, depending on where f(x) is located

Step-by-step explanation:

What is the scale factor of AABC to ADEF?
B
72
359
66
E
-35"
A 80°
12
80*
DS
11
42
65"
A. 6
B.
1
2
1
C.
02
D. 2

Answers

so we know that the size of the triangle is decreasing witch means that the scale factor is going to be a fraction. to find this fraction you are going to divide the smaller side by the corisponding longer side.

12/72= 1/6

the correct answer is c 1/6

The scale factor of triangles ABC and DEF is 6.

Option A is the correct answer.

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

From the triangles,

The ratio of the corresponding sides of the two triangles must be equal.

The value of the ratio is the scale factor.

So,

AB/DE = BC/EF = AC/DF

This can be written as,

72/12 = 66/11 = 42/7

6 = 6 = 6

Thus,

The scale factor of triangles ABC and DEF is 6.

Learn more about scale factors here:

https://brainly.com/question/20759556

#SPJ5

A number, n, is greater than -4 and less than or equal to 6.

Answers

Answer:

-3-,2,-1,0,1,2,3,4,5

Step-by-step explanation:

-4<n<6

As Mexican troops drew closer to the Alamo, the Texans ________________.
a.
retreated to smaller quarters within the mission chapel
b.
sent word to Gonzales for reinforcements
c.
sent word to the United States requesting statehood
d.
suffered a rebellion from within the fort

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation: I took it on a test and got it right

A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 8 ft, find the value of x so that the greatest possible amount of light is admitted.

Answers

Answer: x = 2

If x is the width of the window, the value for x that results in the greatest area-- presumably admitting the greatest amount of light.

Step-by-step explanation:

Initial calculations to find a starting value for w.

Determine dimensions that will have a sum of 8 as the perimeter. The length of the arc plus three sides of the rectangle.

The length of the arc is  half the circumference of the circle, the width is the diameter. So, modifying the equation: C= πd,  a = πw/2

Three sides of a rectangle (presumably a square for the initial calculation) 3w

Initial equation: 3w + πw/2 = 8    Substitute 3.14 for π  and solve for w

2(3w) + 2(3.14w/2) = 2(8)   multiply all terms by 2 to eliminate denominator

6w + 3.14w = 16   combine like terms

9.14w  = 16   divide both sides by 9.14

w ≈ 1.75

Calculate the area using this value:

Area of semicircle:  πr²/2   r= 1.75/2  

3.14(.875)²/2 ≈ 1.203

Area of rectangle  1.75 × 1.75 = 3.0625

Total Area with width 1.75  :  4.265 ft²

Increasing the width to 2

The length of the arc becomes 3.14   This is twice the area of the semicircle.

3.14/2 = 1.57

The height of the rectangle reduces to 1.43

1.43 × 2 = 2.86

Total area with width of 2 ft   2.86 + 1.57 = 4.43 ft²

So 2 ft seems to be the optimal width.

Solve the given system using the method of Example 3.25. x1 − x2 = 1 3x1 + x2 = 3 x = 1 0 Correct: Your answer is correct.

Answers

Answer:

[tex]x_1 = 1[/tex]

[tex]x_2=0[/tex]

Step-by-step explanation:

The question is incomplete as the method is not given.

However, the question can still be solved.

Given

[tex]x_1 - x_2 = 1[/tex]

[tex]3x_1 + x_2 = 3[/tex]

Make xi the subject in the first equation

[tex]x_1 = 1 + x_2[/tex]

Substitute 1 + x2 for xi in the second equation

[tex]3(1+x_2)+x_2 = 3[/tex]

Open bracket

[tex]3+3x_2+x_2=3[/tex]

[tex]3+4x_2=3[/tex]

Collect Like Terms

[tex]4x_2 = 3-3[/tex]

[tex]4x_2 =0[/tex]

Solve for x2

[tex]x_2=0/4[/tex]

[tex]x_2=0[/tex]

Recall that:

[tex]x_1 = 1 + x_2[/tex]

[tex]x_1 = 1+0[/tex]

[tex]x_1 = 1[/tex]

The formula κ​(x)= f′′(x) 1+f′(x)23/2 expresses the curvature of a​ twice-differentiable plane curve as a function of x. Use this formula to find the curvature function of the following curve. ​f(x)=−5x2 The curvature function is κ​(x)=nothing.

Answers

Answer:

K(x) =  [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex]    ( curvature function)

Step-by-step explanation:

considering the Given function

F(x) = [tex]-5x^2[/tex]

first Determine the value of F'(x)

F'(x) = [tex]\frac{d(-5x^2)}{dy}[/tex]

F'(x) = -10x

next we Determine the value of F"(x)

F"(x) = [tex]\frac{d(-10x)}{dy}[/tex]

F" (x) = -10

To find the curvature function we have to insert the values above into the given formula

K(x)  [tex]= \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }[/tex]

 K(x) =  [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex]    ( curvature function)

       

In Carter County, 19% of the population lives in the county seat, while the rest live in the countryside. Suppose 3% of those living in the county seat are selected for ury duty while 4.5% of those living in the countryside are selected for Jury duty. A resident of the county is random y chosen. Let D be the event that the person is selected for ury duty. El be e event that the person is from the county seat, and E2 be the event that the person is from the countryside. Complete parts (a) through (c) below.
a. Find the probability that this person is selected for jury duty Write an equation that models the probability. Choose the correct answer below
OD. P(D) = P(DE)'P(E)
b. The probability is
(Round to three decimal places as needed.) Click to select your answer(s).

Answers

Full question attached

Answer and  explanation:

Answer and explanation attached

find the perimeter of a circle whose diameter is 12.6 cm please help and show working​ don't say that you have it to collect my points​

Answers

Answer:

C = 39.58cm

Step-by-step explanation:

2 * 3.14159 * 6.3

6.28318 * 6.3

39.584034

Answer:

see below

Step-by-step explanation:

The perimeter of a circle is called the circumference

C = pi *d

C = pi * 12.6

Using 3.14 as ab approximation for pi

C = 3.14 * 12.6

C =39.564 cm

Using the pi button  for pi

C =39.58406744

Help me out please I need it

Answers

Answer:

what do you need help with you did not provide a picture or any evidence

Step-by-step explanation:

step-by-step explanation

What for you need help on? Also can you give me brainliest? Sorry I rlly need it but if you can’t that is totally fine :D

Your economics instructor assigns you and a student you do not know a joint project. Assume that you and your partner are both interested in maximizing your grade, but you are both very busy and get more happiness if you can get a good grade with less work. Since you do not know the student, making a credible commitment to how much you are going to work is impossible. Note that on the payoff matrix below, 10/10 is happiest and 1/10 is least happy. This level of happiness is a combination of how much you work and the grade you achieve. Assume that you will have to work on only one project with this partner.
You Work Hard Work Less Hard Grade-A, but you had to work 6 hours. Happiness-6/10 [Grade A, and you only worked 2 hours. Happiness-10/10 Your Partner Work Har Grade-A, but your partner had to work 6 hours. Happiness-6/10 Grade-A, but your partner had to work 10 hours. Happiness 4/10 Work Less Hard Grade-A, but you had to work 10 hours. Happiness-3/10 Grade B, but you only worked 4 hours. Happiness 5/10 Grade A, and your partner only worked 2 hours. Happiness-8/10 Grade- B, but your partner only worked 4 hours. Happiness-5/10 In this game, both you and your partner will collectively work a total of hours on the project.

Answers

Answer:

can you shorten down the question its too long to understand

Step-by-step explanation:

what does 3 to the -2 power equal

Answers

Answer:

[tex]\frac{1}{9}[/tex]    

This table gives a few (x, y) pairs of a line in the coordinate plane. What is the y-intercept of the line?

Answers

Answer:

The Y-intercept is the Y value when X = 0.

Find the change in X:

-56 to -42 = 14

-42  to -28 = 14

The X value changes by 14.

For every change in X the Y change:

66-58 = 8

58-50 = 8

For X to get from -28 to 0 would be 2 more changes:

-28 +14 = -14

-14 + 14 = 0

2 more changes of Y would be:

50-8 = 42

42-8 = 34

So when X = 0, Y = 34

The Y-intercept would be (0,34)

Step-by-step explanation:

like if it helps <3

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