Let’s fix some n e {1,2,3,...}. A biased coin with probability of head p is tossed n times, and the number of heads, N1, is counted. The coin is then tossed Ni more times, and the number of heads, N2, is counted. Find the expected total number of heads, E[Ni + N2], generated by this process. The answer should depend on n and p only.

Answers

Answer 1

Answer:

The answer is "np(1+p)".

Step-by-step explanation:

[tex]N_1[/tex] = Number of n tossed heads  

According to [tex]N_1[/tex], Y = amount of [tex]N_1[/tex] tossing heads

So, [tex]N_1[/tex]~ Bin(n, p) and [tex]N_2[/tex] | [tex]N_1[/tex] ~ Bin([tex]N_1[/tex], p)

[tex]E(N_1+N_2) & = E\Big[N_1+N_2\vert N_1\Big]\\ &[/tex]

                   [tex]= E(N_1)+E\Big[N_2\vert N_1\Big]\\\\ & = E(N_1) + E(N_1\,p)\\\\ & = np + np.p \\\\ =np+np^2\\\\ =np(1+p)[/tex]


Related Questions

please answer as fast as possible see image

Answers

Answer:

388

Step-by-step explanation:

We need to find the area of the semicircle and parallelogram separately and then combine.

The formula for the area of a semicircle is 1/2(pi*r^2)

r = 12. 12^2 = 144

1/2(pi*144) = 226..1946711 which we can just round to 226

The formula for the area of a parallelogram is bh

b = 18, h = 9. 18*9 = 162.

226+162 = 388

Answer:

218.55

Step-by-step explanation:

total area = semi circle + parallelogram

                = (1/2 π 6²)  +  (9 x 18)

                = 56.55  + 162

                = 218.55 sq. units

what is the answer of CGF of 9 and 12​

Answers

Answer:

The answer of CGF is 3.................

Answer:

3

Step-by-step explanation:

List the factors of each number

factors of 9 are 1, 3, 9

factors of 12 are 1, 2, 3, 4, 6, 12

The common factors are 1 and 3

GCF = 3

Which of the following is not a Quadrilateral

Answers

Answer:

triangle?

Step-by-step explanation:

Answer:

A circle

Step-by-step explanation:

can i get brainliest

Let's assume your process yields products with a mean diameter of 12.50mm and σ = 0.010mm. If the specification calls for a range of 12.480mm - 12.530mm, what percentage of parts will have a diameter within these limits?

Answers

Answer:

There is a 97.59% that diameter of the product will fall in the specified range.

Step-by-step explanation:

Let X be the r.v. the diameter of a product

X~N(12.5, (0.010)²)

P(12.48 < X < 12.53) = P(X < 12.53) - P(X < 12.48)

Convert the x-values to corresponding z-values

[tex]Z_{1} = \frac{12.48 - 12.50}{0.01} = -2\\\\Z_{2} = \frac{12.53 - 12.50}{0.01} = 3\\\\[/tex]

Then, using the standard normal distribution cumulative probability tables:

[tex]P(X < 12.53) - P(X < 12.48) = P(Z < 3) - P(Z < -2)\\\\= P(Z < 3) - (1 - P(Z < 2))\\\\= 0.9987 - (1 - 0.9772)\\\\= 0.9987 - 0.0228\\\\= 0.9759[/tex]

A store has a sale with 10% off every item. When you enter the store, you receive a coupon that states that you receive an additional 40% off. Is this equal to a discount? Explain your answer.


The total percent of reduction is _____% , so this __ * is or is not * __equal to a discount.

Answers

Step-by-step explanation:

Step one:

We are told that the store offers off 10% of sales, this means that the store is offsetting the price down by 10% hence a price reduction.

Moreso, a coupon is a voucher entitling the holder to a discount off a particular product. the coupon is 40%, hence this is equal to a discount, that is price reduction by 40%.

Step two:

Say the price of an item is $100, a coupon if 40% will entitle the holder to only pay $60, that is

=40/100*100

=0.4*100

=$40 off

= 100-40

=$60

The total percent of reduction 10+40= 50%

This is equal to a discount on the sales price

A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 6 greater-than 4, negative 11 less-than negative 3, 7 greater-than negative 6, negative 5 less-than 1. Column 2 is labeled Multiply each side by: with entries 4, 2, 3, 5. Column 3 is labeled New Inequality with entries A, B, C, D. The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality. A: B: C: D: Multiplying both sides of an inequality by a positive number the inequality symbol

Answers

Answer:

1.  A

2. B

3. A

4. B

5. A

Step-by-step explanation:

Edge 2022

Answer:

A: 24 > 16B: -22 < -6C: 21 > -18D: -25 < 5E: does not change

Explanation: Correct on Edg 2020.

PLEASE YALL I need HELP ASAP PLEASE PLEASE PLEASE I WILL MARK YOU AS BRANLIEST IF CORRECT

White an equation in slope intercept form whose slope is 10 and y intercept is -3.

Answers

Answer:

y = 10x - 3

Step-by-step explanation:

Answer:

f(x)=10x+-3

f(x)=mx +b

m= slope

b= y intercept

Step-by-step explanation:

plz help................

Answers

Answer:

Step-by-step explanation:

1,2222

2,3333

3,4444

4,5555

5,6666

6,7777

7,8888

8,9999

9,10101010

Select the correct answer from the drop-down menu. Coulomb's law is given by F=^K^q1^q2/r^2, where F is the force, K is a constant, q1 and q2 are the charges on the two bodies, and r is the distance between them. Rewrite the formula for Coulomb's law to solve for r. The formula for r is _____ .
(I've added a pic of the formula and the three pull down answers)

Answers

Answer:

ANSWER IS B

Step-by-step explanation:

The formula for the Coulomb's law with respect to r is given by the equation r = ( Kq₁q₂ / F )^1/2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

F = Kq₁q₂ / r²

where F is the force, K is a constant, q1 and q2 are the charges on the two bodies, and r is the distance between them

On simplifying for r , we get

Multiply by r² on both sides , we get

Fr² = Kq₁q₂

Divide by F on both sides of the equation , we get

r² = ( Kq₁q₂ / F )

Taking square roots on both sides of the equation , we get

r = ( Kq₁q₂ / F )^1/2

Hence , the equation is r = ( Kq₁q₂ / F )^1/2

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1 3/4 divided by 1/2-1 1/2 to the 3rd

Answers

Answer:

-7/4

1/8

Step-by-step explanation:

1. If the problem is; (1 3/4) / (1/2 - 1 1/2)^(3)

(a). Convert to improper fractions;

(7/4) / (1/2 - 3/2)^3

(b). Simplify;

(7/4) / (-2/2)^3

(7/4) / (-1)^3

(7/4) / (-1)

-7/4

2. If the problem is; ((1 3/4) / (1/2)) - (1 1/2)^3

(a). Convert to improper fractions;

((7/4)/ (1/2)) - (3/2)^3

(b). Simplify;

((7/4)/ (1/2)) - (3/2)^3

((7/4)*(2/1)) - (27/8)

(7/2) - (27/8)

(28/8) - (27/8)

1/8

Alright Soldier I need help, Solve for Percent Error, Calculate the percent error if the experimental value of the density of gold is 18.7 g/cm^3 and the accepted value is 19.3 g/cm^3

Answers

Answer:

Step-by-step explanation:

so the steps to doing this are as follows :

Subtract the accepted value from the experimental value.

Take the absolute value of step 1.

Divide that answer by the accepted value.

Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

|18.7-19.3|/19.3 = 0.031088 * 100% = 3.1%

Suppose that your school's environmental club wants to travel to the state capital to participate in an Earth Day festival. The rental of a bus for the day will cost $895. Lunch and festival activities will cost $25 per student. Your club advisor thinks that the fee for participating should not be more than $60. How many students must be recruited for the trip. Write a mathematical model for this.

Answers

Answer:

Mathematical model is:

(895/n) + 25 ≤ 60

Number of students must not be less than 26

Step-by-step explanation:

We are told that;

- the rental of a bus for the day will cost $895.

- Lunch and festival activities will cost $25 per student

If the number of students are n, then cost per student for bus rent is; $895/n

Thus, total amount per n number of students to participate is;

895/n + 25

Now, we are told that the club advisor thinks that the fee for participating should not be more than $60.

Thus in form of inequality, we have;

(895/n) + 25 ≤ 60

Subtract 25 from both sides to get;

(895/n) ≤ 60 - 25

(895/n) ≤ 35

Multiply both sides by n and then divide both sides by 35;

895 ≤ 35n

26 ≤ n

What is the unit price of 6 pounds of chocolate that costs $51.00?

Answers

Answer:

$8.50 per pound

Step-by-step explanation:

51/6=8.5

The price of 1 pound is $8.5

What is an Equation ?

An equation is a statement that relates expressions with constants or another expressions.

It is given that

6 pounds of chocolate costs $51

then let 1 pound of chocolate costs $x

The equation formed will be

x = $51/6 = $8.5

Therefore the price of 1 pound is $8.5

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Which graph shows different numbers of gold coins that colin can find go win more than 200 points?

Answers

Answer:

Step-by-step explanation:

Its the closed dot on 9. i just did the quiz. Your welcome.

Answer: the closed dots on 9 10 11 12 13 14

15

the perimeter of a triangle is

88 centimeters. If two sides are equally long and the third side is

7 centimeters longer than the​ others, find the lengths of the three sides.

Answers

Side lengths are: 27,27, and 34.

FInd the circumference of a circle with a diameter of 6 yd. Use the value 3.14 for x and do not round your answers

Answers

Answer:

C ≈ 18.85yd

Step-by-step explanation:

What is the slope of the line?

Answers

Answer:

The correct answer is Integer ;)

eduphoria! - School
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IE ela
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Ows el
SA Desmos Scientific
Can you write the equation of a parallel line through the given coordinate and
type the correct code? Please remember to type in ALL CAPS with no spaces. *
Puzzle #4
1:
Find the equation
parallel to
Y: -2x 10
through (3, -1)
2:
Find the equation
parallel to
-1
• 12
through (3,-1)
answer choices
A: - B:
C:
Y'j* Y.-2x•7 y.-24-4
D: E
F:
Y 3*.7 Y-3
y=-2x1
G: H:
y.-24.5 y2x8 Y 3-1
T: -1.
3:
Find the equation
parallel to
y = -2x - 18
through (-3, 2)
4:
Find the equation
parallel to
-1
Y
3
through (12,-5)
Type the 4-
letter code into
the answer
box. All CAPS
no spaces.
X.16
Your answer

Answers

Answer: GACI

Step-by-step explanation:

The quadratic parent function has been reflected down, stretched vertically by a factor of 1/3, shifted vertically by 9 units and shifted horizontally by -12 units.


1a) write the function g(x) in vertex form

1b) then rewrite the vertex form into standard form

Answers

Answer:

1a) f(x) = -1/3(x + 12)² + 9

1b) f(x) = -1/3x² - 8x - 39

General Formulas and Concepts:

Algebra I

Equality Properties

Expand by FOIL (First Outside Inside Last)

Standard Form: ax² + bx + c = 0

Transformations Graph: f(x) = a(bx - c)² + d

a = vertical shrink/stretch b = horizontal shrink/stretch c = horizontal movement left/right d = vertical movement up/down

Step-by-step explanation:

Step 1: Define

Reflected down and vertically stretched by 1/3:   a = -1/3

Shifted vertically by 9 units:   d = 9

Shifted horizontally by -12 units:   c = -12

Step 2: Write Vertex Form

Define:                    f(x) = a(bx - c)² + d Substitute:              f(x) = -1/3(x + 12)² + 9

Step 3: Write Standard Form

Define:                              f(x) = -1/3(x + 12)² + 9Expand:                             f(x) = -1/3(x² + 24x + 144) + 9Distribute -1/3:                  f(x) = -1/3x² - 8x - 48 + 9Combine like terms:         f(x) = -1/3x² - 8x - 39

And we have our final answers!

x-1
1
X+4
+
2x+1
=
x-2
2x²-3x-2

Answers

Answer:

x = 2π3

Step-by-step explanation:

csc(x)csc(x) , x=πx=π

3x+2y+zx+y+z3x+2y+zx+y+z , x=2x=2 , y=3y=3 , z=1z=1

cot(3x)cot(3x) , x=2π3

Hope this helps :)

1 point
The weights of laboratory cockroaches follow a Normal distribution with
mean 80 grams and standard deviation 2 grams. Use the figure from above.
About what percent of the cockroaches have weights less than 78 grams?
16%
none of these
32%
34%
O 2.5%

Answers

Answer:

16% of the cockroaches have weights less than 78 grams.

Option A is correct.

Step-by-step explanation:

Mean = 80 g

Standard Deviation = 2

We need to find percent of the cockroaches have weights less than 78 grams so, x=78

First we will find z using formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Putting values of x, mean and Standard Deviation to find z

[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{78-80}{2}\\z=-1[/tex]

We need to find P(z<-1)

Looking in the normal distribution table

[tex]P(z<-1)=0.15866\\P(z<-1)\approx 0.16\\Converting \ into \ percentage\\P(z<-1)=16\%[/tex]

So, 16% of the cockroaches have weights less than 78 grams.

Option A is correct.

20 POINTS

NEED HELP ASAP

If f(x) = 3x-2 and g(x) = 2x+1, find (f+g)(x)

A. x-3
B. x-1
C. 5x-1
D. 5x-3

Answers

g(x)=2x+1
f(2x+1)=3(2x+1)-2
6x+3-2=6x-1
Sorry this was the answer that I had 6x-1
That answer choice is correct?

I need help and thanks in advance

Answers

Step-by-step explanation:

b²-4ac

(10)²-4(-4)(-8)

=100+16+32

=148

Discriminant is b^2 -4ac. So it’s (10)^2 - 4 (-4)(-8) = 100 + 128 = 228. When the discriminant is greater than 0 and not a perfect square you have 2 real irrational roots.

find the exact value of sin(4π3+π4)

Answers

Equation Step by Step

sin(4(3.141593^3)+3.141593^4)

sin((4)(31.006277)+3.141593^4)

sin(124.025107+3.1415934)

in(124.025107+97.409091)

sin(221.434198)

=0.998844

Tbh, might be wrong on this one. I'm on the road so didn't double-check my answer.

Answer the two questions below. THANKS!!

Answers

Problem 1

We're given that angle A = angle B. Also that angle B = angle C.

By the transitive property, we can say angle A = angle C.

So basically all three angles are equal to one another. Let's call that unknown angle x.

For any triangle, the three angles always add to 180, so,

x+x+x = 180

3x = 180

x = 180/3

x = 60

That proves angles A,B, and C are each 60 degrees. This triangle is considered equiangular since all angles are the same. Furthermore, the triangle is also considered equilateral meaning all sides are the same. The term equilateral is more widely used, so I'd go with that term if you could only pick one.

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

Problem 2

As mentioned in problem 1, the three angles of a triangle add to 180

A+B+C = 180

A+B+90 = 180

A+B+90-90 = 180-90

A+B = 90

This shows A and B are complementary angles. Complementary angles by definition add to 90 degrees.

The value of a ratio is __________.

the sum of the two quantities in the ratio
the quotient of the two quantities in the ratio
the difference of the two quantities in the ratio
the product of the two quantities in the ratio

Answers

Answer:

B.

Step-by-step explanation: The value of a ratio is the quotient of the two quantities in the ratio.

Answer:

B

the quotient of the two quantities in the ratio

Vocabulary Is every relation also a function? Explain.

A. No. A relation is a special type of function where each input maps to exactly one output. In a function, an input can have one or more outputs.

B. Yes. A function is a special type of relation where each input maps to exactly one output. In a relation, an input can have one or more outputs.

C. Yes. A relation is a special type of function where each input maps to exactly one output. In a function, an input can have one or more outputs.

d. No. A function is a special type of relation where each input maps to exactly one output. In a relation, an input can have one or more outputs.

Answers

Answer:

It is B

Step-by-step explanation:

A user's vocabulary is a collection of often used words in their language. A vocabulary is a helpful and important instrument for communication and knowledge acquisition that develops with age.

One of the most challenging aspects of acquiring a new language is developing a wide vocabulary.

The correct answer is B. Yes. A function is a special type of relation where each input maps to exactly one output. In relation, an input can have one or more outputs.

Words that will be used in all of the classes. Cause and effect, comparison and contrast, and challenge and remedy are some characteristics of text pattern terms. With terms like imagine, forecast, and justify, functional vocabulary can also help with question generation.

To know more about the vocabulary and its function, refer to the link below:

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15 kg equals how many grams

Answers

Answer:

15,000g

Step-by-step explanation:

Answer: 15000 grams

Step-by-step explanation: To convert Kilograms to Grams, you'll need to multiply the mass value by 1000.

Match each equation on the left to the mathematical property it uses on the right.

Answers

Answer: 1,d 2,e 3,c 4,b 5,a

Step-by-step explanation:

Number is from top to bottom on left and letters are same way on right.

10)

In 1990, about 13.8 million students were enrolled in U.S. colleges. In

2000, about 14.9 million students were projected to be enrolled in U.S.

colleges. Find the average rate of change in the number of students per

year.

Answers

Answer:

0.77% increase per year

Step-by-step explanation:

total % increase in the number of college students between 1990 and 2000:

= (14.9 - 13.8) / 13.8 = 1.1 / 13.8 = 0.07971 = 7.971%

average rate of increase per year:

1.07971 = (1 + r)¹⁰

¹⁰√1.07971 = ¹⁰√(1 + r)¹⁰

1.007699 = 1 + r

r = 1.007699 - 1 = 0.007699 = 0.77% increase per year

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Which angle measurements can form triangle ABC? Select all that apply.mA = 40, mB = 75, mC = 65mA = 136, mB = 28, mC = 16mA = 57, mB = 58, mC = 63mA = 90, mB = 35, mC = 35mA = 60, mB = 60, mC = 60 Lydia is a senior in high school. She works 20 hours a week at a popular clothing store. She is trying to save as much money as possible for her college tuition. However, she has to buy a dress for prom, pay her car insurance, and get a birthday gift for her sister. This week she received a $400 paycheck. She wants to deposit the entire check in her savings account for her college tuition, but she stops herself. She decides instead to put $100 in the bank, spend $200 for her prom dress, pay $80 for her car insurance, and buy her little sister a $20 birthday gift. While shopping, she sees a doll worth $21, which she thinks her sister will absolutely love. As a result, she decided to buy the more expensive doll and spend less on her dress. Did Lydia make an all-or-nothing or a marginal decision while spending her money? Justify your response. Compare traditional majlis and modern majlis. Name one reason Hamilton supported a national bank. WHAT IS FRICTION BETWEEN????? NEED ANSWERS ASAP In an animal cell, cellular respiration happens in the Will give brainliest answer The following question references the novel The Call of the Wild by Jack London.Explain the "call of the wild". Which of the following expressions are equivalent to -1/2 ? PLEASE HELP ASAP!Every year since its beginning, our town's Old Home Days celebrationhas resulted in traffic accidents, Luckily, no one has been seriouslyinjured, but it is clear that we need better traffic control during thefestivities. Parents who pull over on Main Street to drop off kids causeother drivers to pull around them, creating a dangerous situation. Toavoid this, the police who stop traffic for pedestrians to cross MainStreet should be located at more than one spot. It is the responsibilityof the drivers to be careful, but we can make their job easier by makingsome simple changes.Which is a subjective summary of the passage?A. Reckless drivers and unconcerned police mean that there willeventually be a major disaster on Old Home Days.O B. Traffic control is an ongoing challenge at the annual Old HomeDays event.O C. The children's drop-off spot is one of the most problematic areaswithin the Old Home Days site.O D. Many feel that Old Home Days has to be stopped because oftraffic issues. What make reports interesting? Will Give Brainliest! WHAT Additional Congruence statement is needed to prove the triangles are congruent by SAS? Two sides of a triangle are 26 meters and 15 meters. What is the smallest the third side can be?A) 13 metersB) 15 metersC) 11 metersD) 9 meters Trace the origin and diffusion of muslim advancement in science, technology,or mathematics.Where did the idea or technology originate,and how did it spread Give Atleast 10 biological (nurtured) traits handed by your parents If (4,-3) is the midpoint of the line segment ST and the coordinates of S are (1,5), find thecoordinates of T. What is the purpose of government? A. to protect our rightsB. to collect taxes and control tradeC. to defend the people from invading armies Explain ths strategies and communication techniques used with individuals., different needs to overcome different challenges? please help Melanie rides her bike. The circumference of her bike tire is 2.8 m, and the tire revolves 1.5 times per second. What is the distance Melanie rides in 100 seconds? What is the area of the shaded triangle inside the square? Round your answer to the nearest square inch.A triangle has a base of 16 inches and a height of 16 inches. _____ in