suppose that p is the probability that a randomly selected person is left handed. The value (1-p) is the probability that the person is not left-handed. In the sample of 100 people, the function V(p)= 1000 p(1-p) represents the variance of the number of left-handed people in a group of 100.
a) What value of p maximizes the variance?
b) What is the maximum variance?

Answers

Answer 1

Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for [tex]p[/tex] such that [tex]1000p(1-p)[/tex] is maximized. Once we have that [tex]p[/tex], we can easily find the answer to part b.

Finding the value that maximizes [tex]1000p(1-p)[/tex] is the same as finding the value that maximizes [tex]p(1-p)[/tex], just on a smaller scale. So, we really want to maximize [tex]p(1-p)[/tex]. To do this, we will do a trick called completing the square.

[tex]p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4[/tex].

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of [tex]p[/tex] such that the inner part of the square term is equal to [tex]0[/tex].

[tex]p-1/2=0\\p=1/2[/tex].

So, the answer to part a is [tex]\boxed{1/2}[/tex].

We can then plug [tex]1/2[/tex] into the equation for p to find the answer to part b.

[tex]1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250[/tex].

So, the answer to part b is [tex]\boxed{250}[/tex].

And we're done!


Related Questions

please help I’ll give you a points :,)

use estimation to check whether 96.26 is a reasonable solution fot the equation m-62.74=159

Answers

Answer:

See below

Step-by-step explanation:

I hope you wrote down the right equation using a minus sign instead of a plus.

Rounding 96.26 off to just 96  and then rounding 62.74 off to 62, you can subtract the two in your head real quick.

96 - 62 = 34

So using this estimation you can see that the answer of 159 is no where near correct.

(Leve

A manufacture manufactures a car for a fixed cost

The car show room determines the selling price to be 55% above the manufacturing

The car show room currently has a sale, reducing all cars be 16%

The sale price of the car is £12,369

Calculate the manufacturing cost of the car.

Answers

Answer:

20068

Step-by-step explanation:

mmm

Evaluate the expression for the given values of the variables.

5p + 3q for p = 2 and q = −8

When p = 2 and q = −8, the expression is equal to...

Answers

Answer:

[tex] \hookrightarrow \: { \rm{5p + 3q}}[/tex]

p is 2q is -8

[tex] = { \tt{5(2) + 3( - 8)}} \\ \\ = { \tt{10 - 24}} \\ \\ = { \underline{ \underline{ \tt{ \: \: - 14 \: \: }}}}[/tex]

2x/2 = 90/2 pls solve it it

Answers

Answer:

x=45

Step-by-step explanation:

2(45)=90

90/2=90/2

What is 2 1/2 divided by 2 2/3

Answers

Answer:

15/16

Decimal form 0.9375

Step-by-step explanation:

2 1/2 divided by 2 2/3 = 0.9375

If you do not know please do not answer

A local hamburger shop sold a combined total of 575 hamburgers and cheeseburgers on Sunday. There were 75 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?

Thanks (*^▽^*)

Answers

575 - 75 = 500 fewer means to subtract btw

The ratio of boys to girls in math class is 3 to 5 if there are 9 boys how many girls are there

Answers

Answer:

15

Step-by-step explanation:

for every three boys there are five girls

3 groups of 3 boys

3*5=15 girls

Please help

10x-2-6x=2(2x-1)

Answers

Answer:

All real numbers

Step-by-step explanation:

Given: 10x-2-6x=2(2x-1)

Distribute: 10x-2-6x=4x-2

Simplify like terms: 4x-2=4x-2

Subtract 4x to both sides: -2=-2

Add 2 to both sides: 0=0

All real numbers

Does the order we apply a
sequence of transformations
matter?

Answers

It does not matter

Hope this answers your question!

Find the exterior angle

Answers

Answer:

x = 128 degrees

Step-by-step explanation:

So we know that a triangle's interior angles should add up to 180 degrees.

We also know that when a triangle has that little square in a corner, that corner is equal to 90 degrees.

With these clues, we can figure out that the last interior angle is equal to:

180 - (38+90) = 52, however this isn't the answer we are looking for.

We also know that a straight line is 180 degrees. Therefore, to find the exterior angle we just subtract the interior angle from 180 degrees:

180 - 52 = 128

x = 128

What is the remainder R?

Answers

What is remainder R when the polynomial p(x) is divided by (2x - 1)? is (2x - 1) factor of p(x)?

p(x) = 2x² + 3x + 1

Answer :

R = 3

and (2x - 1) not factor of p(x) because, if (2x - 1) factor of p(x) remainder R when the polynomial p(x) divided by (2x - 1) is R = 0

so the answer is option A

Step by step explanation :

« Attached »

What is the equation of the line that passes through the point (-6, -5) and has a slope of -3/2?

Answers

Answer:

y=3/2x+3/2

Step-by-step explanation:

point at (-6,-5)

slope = m = 3/2

y = mx+b

(-6)=(3/2)(-5)+b >>> substituting x & y to solve for b

-6 = (-15/2)+b >>> simplify previous equation

-6 + (15/2) = b >>> isolate and solve for m

3/2 = b

therefore, the equation of the line passing through the point (-6,-5) with a slope of 3/2 is y=(3/2)x+(3/2)

Which of the following shows 24.459 correctly rounded to the hundredths place?

Answers

Answer:

24.46

Step-by-step explanation:

The hundredths place is two places after the decimal. Since the thousandth place is a 9 this would round up the hundredths place to 6.

Simplify to create an equivalent expression.
(3n+6)⋅3+(2n+2)⋅4

Please help as soon as possible. Thanks! =D

Answers

Answer:

i don"t know ask your mom

Answer:

[tex](9n + 18) + (8n + 8) \\ = (9n + 8n) + (18 + 8) \\ = 17n + 26[/tex]

A smartphone costs $140. Sales tax is 4%. What is the total cost, including tax?

Answers

Answer:

145.60

Step-by-step explanation:

Please helppppppp :,(

Answers

Answer:

D

Step-by-step explanation:

Please mark brainliest

what time is it in florida im to lazy to look at watch

Answers

Right now it would be 9:44am

Pls help me fast!!!!!!!!!!!!

Answers

x=0 I think not 100% sure though

Answer: The equation has infinitely many solutions.

Step-by-step explanation:

With George's end result of 3=3, you can assume that the equation is set up in such a way that no matter what you plug in, you will get the same number on both sides of the equals sign, which means the solution is valid. Therefore this means that there are an infinite number of solutions.

Please help

Given: P(1, 3)P(1,3)

and

Q(3,7)Q(3,7)

What is the slope of PQPQJ

Answers

Answer:

Slope = 2

Step-by-step explanation:

(1,3) and (3,7)

m = (7-3)/3-1)

= 4/2

= 2

pls and ty loves!:))))))))))

Answers

Answer:

[tex]f = 9 \div 5c + 32[/tex]

[tex]f - 32 = 9 \div 5c[/tex]

[tex]5(f - 32) = 9c[/tex]

[tex]5(f - 32) \div 9= 9c \div 9[/tex]

Step-by-step explanation:

C = 5(F–32)/9

everything can be found in the solving hope this helps. if you have any worries or doubts don't hesitate to ask me back

Answer:C

Step-by-step explanation:

F=9/5 x C +32

F = -32 =9/5 x C

5/9 (F-32)+C

For any of you coding experts. I'm just beginning to take coding seriously and I want to know which coding language is the easiest for beginners. Any tips?​

Answers

Answer:

binary codenis the easiest bro it's just 1 and 0 right?

I believe HTML & MySQL are the easiest coding languages for beginners. If you are a starter you might prefer to take HTML which is comparatively really easy & understandable as well. HTML allows you to create webpages in no time with simple coding & there's no use of binary digits. Moving onto MySQL..this is also easy but it's advanced when compared to HTML. But, the work is more neat & good if you program it through SQL. After mastering both of them you can go for Python / Java, which are hard but it should be ok if you studied the first 2 languages. There's Xojo as well, lesser known but still good.

2⁴+(2.75+1.75)÷0.9 fast pls helppppp

Answers

Answer:

21

Step-by-step explanation:

First, add the parenthesis

2^4 + 4.50 ÷ 0.9

Second, divide 4.50 by 0.9

2^4 + 5

Third, get rid of the ^4

(2x2x2x2)

16 + 5

21

Please help me! Please!

Answers

They are all positive

I think the correlation is negative because the graph is going down.

Hope this helps

Please I need help in here :(​

Answers

Answer:

5 chairs to 5 tables

5:5

all you have to do is count them and write them in ratio

A pair of skate blades costs
$189.00. A pair of skate boots
costs 4 times that much. How
much are the skates and blades
all together?


Answers

Answer: $945.00

This is because 4 times the amount of $189 is $756, and $189 + $756 = $945.00

Pleaseee help me plz

Answers

The answer is 70. When you multiply a negative and a positive you get a negative. For example, -5 x 7 = -35. Now when you have to multiply that by -2, negative times a negative is a positive because they cancel each other out. -2 x -35 =70

Answer:

hey there,

hey there,in this question

-7 is multiply by 5 then multiply by-2

-7×5=-35 -35×-2=70

i want to inform that when minus is mutiply by minus it become plus

Step-by-step explanation:

hope it help you #BEBRAINLY

4g+4=2g+12 I need to find what g would equal to

Answers

Answer:

2

Step-by-step explanation:

4g+4=2g+12

or , 4g-2g=12-4

or , 2g = 8

or, g=8/2

g= 2

3 4. What is the slope of the line that passes through (-2, 1) and (8,5)? ​

Answers

Answer: 2/5

Explanation: Ask if you want an explanation!

Answer:    slope = ²/₅

Step-by-step explanation:      

      The question gives us two points, (-2, 1) and (8,5), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  (5 - 1) ÷ (8 - (-2))    

                                          =   ⁴/₁₀

                                          = ²/₅  

Checking my answer:

We can check to see if the answer is correct by drawing the line and seeing if it passes through both points. If it does, then the slope is correct.

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                ⇒  y - 1 =  ²/₅ (x + 2)

                                       

In the graph below (created using Desmos), the line passes through both points. This suggests that we calculated the slope correctly.

Answer for brainly please and fast

Answers

Answer:

s = 48

Step-by-step explanation:

gehehehehhehegeheheklelehe​

Answers

Answer:

A

Step-by-step explanation:

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