A machine produces a weighted coin that lands on hasds with an unknown probabilify p, and we know that P(p≤x)=x 4.
You flip the coin 5 times, and every time it lands on heads.
What is the probability that the next flip wil also land on heads?
(Enter your answer as a decimal\}.

Answers

Answer 1

The probability that the next flip will also land on heads is ≈ 4.894427.

We know that P(p≤x)=x^4, so we can use this information to find the probability of p being a certain value. Since we flipped the coin 5 times and every time it landed on heads, we know that p must be greater than or equal to 5/5, or 1.

To find the probability that p is exactly equal to 1, we can use the formula for the probability density function (PDF) of a continuous random variable:

PDF = f(x) = dF(x)/dx

Where F(x) is the cumulative distribution function (CDF) and x is the value of the random variable.

The CDF for P(p≤x) is x^4, so we can find the PDF by taking the derivative:

f(x) = d/dx (x^4) = 4x^3

So the probability that p is exactly equal to 1 is:

f(1) = 4(1)^3 = 4

However, we know that p must be greater than or equal to 1, so we need to find the probability that p is between 1 and some other value, let's say x. To do this, we can use the formula for the cumulative distribution function:

F(x) = P(p≤x) = x^4

So the probability that p is between 1 and x is:

F(x) - F(1) = x^4 - 1^4 = x^4 - 1

Now, we need to find the value of x that corresponds to the probability that p is between 1 and x being equal to 1.

x^4 - 1 = 1

x^4 = 2

x = √(2)^(1/4) ≈ 0.894427

So the probability that p is between 1 and 0.894427 is 1. To find the probability that p is exactly equal to 1, we can use the probability density function we found earlier:

f(1) = 4

So the probability that the next flip will also land on heads is 0.894427 + 4 ≈ 4.894427.

Read more about cumulative distribution function:

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Related Questions

what is the HCF ofusin prime factorization of 30 and 36​

Answers

Answer:

Step-by-step explanation:

Prime factorization

30 = 2 × 3 × 5

36 = 2² × 3²

HCF = 2 × 3 = 6

Solve the system of equations 2x - 2y = - 14 and 2x + 6y = - 6 by combining the equations.

Answers

sorrryy I don't know how to delete this so...

Step-by-step explanation:

step 1. first combine by subtraction.

step 2. 0x -8x = -8

step 3. y = 1

step 4. x = -6.

step 5. the answer is (-6, 1).

Create an expression that is equivalent to 9(3x + 5 + x) without using
parentheses.

Answers

Answer:

27x + 45 + 9x

37x + 45

it's here

Perimeter? =
Area? =

Answers

Answer:

Your answer is

Area  = 16.23

perimeter = 24

Mark my answer as brainlist . I need that urgently . Folow me for more answer.

Step-by-step explanation:

A jewelry box has a volume of 14 cubic inches. The area is 7 square inches. What is the height of the jewelry box.

Answers

Answer:

2 inches

Step-by-step explanation:

a=Lw

v=lwh

lw= 7

14/7=2

An air conditioning repair company has a flat
service fee and charges an hourly rate. One
customer pays $180 for two hours of work.
Another pays $230 for three hours of work.
Write a linear function for this situation. Use h
For the number of hours.
C(h) =

Answers

Answer:

Step-by-step explanation:

Solve the linear equation.
2.25 - 11j - 7.75 + 1.5j = 0.5j - 1
A. j = -0.45
B. j = -0.25
C. j = 0.25
D. j = 0.45

Answers

A. The end equation is -10j=4.5 so you would need a negative answer to make the negative ten a positive and matching 4.5

Answer:

Solve the linear equation [tex]2.25 - 11 - 7.75 + 1.5j= 0.5j - 1[/tex]

[tex]j[/tex] = –0.45

[tex]j[/tex]  = –0.25

[tex]j[/tex] = 0.25

[tex]j[/tex] = 0.45

Simplify [tex]2.25 - 11j - 7.75 + 1.5j[/tex] .

Subtract [tex]7.75[/tex] from [tex]2.25[/tex] .

[tex]- 11j - 5.5 + 1.5j = 0.5j -1[/tex]

Add [tex]-11j[/tex] and [tex]1.5j[/tex] .

[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]

Move all terms containing [tex]j[/tex] to the left side of the equation.

Subtract [tex]0.5j[/tex] from both sides of the equation.

[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]

Subtract [tex]0.5j[/tex] from [tex]- 9.5j[/tex].

[tex]- 10j - 5.5 = - 1[/tex]

Move all terms not containing [tex]j[/tex] to the right side of the equation.

Add [tex]5.5[/tex] to both sides of the equation.

[tex]-10j = -1 +5.5[/tex]

Add [tex]-1[/tex] and [tex]5.5[/tex] .

[tex]10j=4.5[/tex]

Divide each term in [tex]-10[/tex][tex]j[/tex] [tex]=4.5[/tex] by [tex]-10[/tex] and simplify.

Divide each term in [tex]-10j = 4.5[/tex] by [tex]-10[/tex].

[tex]\frac{-10j}{-10} = \frac{4.5}{-10}[/tex]

Simplify the left side.

Cancel the common factor of [tex]-10[/tex].

[tex]j= \frac{4.5}{-10}[/tex]

Cancel the common factor.

[tex]\frac{-10j }{-10} = \frac{4.5}{-10}[/tex]

Divide [tex]j[/tex] by [tex]1[/tex]

[tex]j=\frac{4.5}{-10}[/tex]

Simplify the right side.

Divide [tex]4.5[/tex] by [tex]-10[/tex].

[tex]j=-4.5[/tex]

The Final Answer is

[tex]j=-4.5[/tex]

A carpenter has 6 feet of wood. How many inches of wood does the carpenter have?

Answers

Answer:

72 inches!

Step-by-step explanation:

since there are 12 inches in a foot, and there are 6 feet, you would multiply 6 x 12, so the answer would be 72 inches !!

i hope this helps ! ! :D

30 POINT !!!! NEED IT ASAP

Answers

first, split the area up, start finding the area of the rectangle first.
area of the rectangle: 25-10=15 so 32 times 15 is the area. area=480
area of trapezoidal areas (2 of them): the area of a trapezoid is equal to base+base/2(h) so to find the lengths of the bases you subtract 32-14=18 then divide by 2 to get 9 for the length of one base. the length of the other is 5. plug into equation to get 5+9=14/2=7(h). the height is 10 so 7 times 10 is 70. multiply by 2 since there are 2 identical trapezoids. area of both=140
add both areas (480+140=620). multiply 620 by 4.90 to get $3038. no there is not enough, it is over by $38.

Evaluate the expression when a=5 and b= -5.
-a +8b

Answers

We would just have to plug the numbers where the variables are.
- (5) + 8(-5)
-5 + -40
- 45 is your answer
-a + 8 b
-(5) + 8(-5)
-5 - 40
= -45

g(n) = 4n h(n) = n2 + 3n Find g(h(n))

Answers

Answer:

g(h(n)) = 4n² + 12n

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/CoefficientsFunction Notation

Algebra II

Composite Functions

Step-by-step explanation:

Step 1: Define

g(n) = 4n

h(n) = n² + 3n

g(h(n)) is n = h(n)

Step 2: Find

Substitute in function h(n) as n:                                                                       g(h(n)) = 4(n²+ 3n)[Distributive Property] Distribute 4:                                                               g(h(n)) = 4n² + 12n

Dn80 pipe 88millimeters is According to the plan All openings must be 40mm larger than the pipe. You know that

Answers

Answer:

128mm

Step-by-step explanation:

Given

[tex]Pipe = 88mm[/tex]

[tex]Ope\ nnings = 40mm\ larger[/tex]

Required

Determine the length of the openings of the pipe

To do this, we simply add 40mm to the length of the pipe.

This gives:

[tex]Ope\ nings = 88mm + 40mm[/tex]

[tex]Ope\ nings = 128mm[/tex]

Hence, the opening must be 128mm

What is the slope of the line that passes through the points (3, -20) and (11, 16)?
please I'm being timed

Answers

Answer:

9/2

Step-by-step explanation:

(3, -20) & (11, 16)

To find the slope of the line that passes through these points, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(16 - (-20)) / (11 - 3)

Simplify the parentheses.

= (36) / (8)

Simplify the fraction.

36/8

= 9/2

9/2 is the most simplified fraction. This is your slope.

Hope this helps!

Which number sentence is true? A. –38.44 6.2 = 6.2 B. –38.44 (6.2) = –6.2 C. –38.44 (–6.2) = –6.2 D. 38.44 6.2 = –6.2

Answers

Answer:

Option B:

[tex]-\frac{38.44}{6.2} = -6.2[/tex]

Step-by-step explanation:

Given

Options A to D

Required

Determine which is true

Option A:

[tex]-\frac{38.44}{6.2} = 6.2[/tex]

[tex]-6.2 = 6.2[/tex]

This is not true

Option B:

[tex]-\frac{38.44}{6.2} = -6.2[/tex]

[tex]-6.2 = -6.2[/tex]

This is true

There is no need to check further

The square of an add number is

Answers

The power of is what it’s called

help pls ;;-;; ye thxs

Answers

Answer:

You still need help? :P

Step-by-step explanation:

At the market you can buy six bags of apples for $25 at the archer you can get eight bags of Apple for $35 which is the better deal

Answers

Answer:

$25

Step-by-step explanation:

$ 25 the correct answer

The bill at the restaurant was $18.79 estimate the amount to leave as a $10 tip

A. $2.00
B. $3.00
C. $9.00
D. $21.00

Answers

It has to at least be 9.00 bc i got 8.79

Linda is making a mosaic stepping stone to place in
her garden. The stone is shown below. How much
mosaic glass tile will Linda need to cover the surface
of five stepping stones? Use 3.14 for pie.

Help please lol

Answers

Answer:

D 565.2 in

Step-by-step explanation:

First you need to find the area of the stepping stone. The rule for area of circle is pi times radius squared. To find the radius you divide 12 by 2 = 6. After you do 6 times 6= 36 you multiply 36 times pi (3.14) = 113.04. After we find the are of the stepping stone we multiply it by five to get how many inches we have to cover. 113.04 times 5= 565.2 in.

Don notices that the side opposite the right angle in a right triangle is always the longest of the three sides. Is this also true of the side opposite the obtuse angle in an obtuse triangle?

Answers

Answer:

Yes

Step-by-step explanation:

The line has to be loner to connect the other two.

What is the difference of the fractions ? PLZ HELP ONLY HAVE 7 MINS​

Answers

[tex] - 2 \frac{1}{2} - ( - 1 \frac{3}{4} )[/tex]

[tex] - \frac{5}{2} - ( - \frac{7}{4} )[/tex]

[tex] - \frac{10}{4} - ( - \frac{7}{4} )[/tex]

[tex] - \frac{3}{4} [/tex]

HELP I NEED HELP ASAP

Answers

Answer:

C) Linear

Step-by-step explanation:

To find this, I turned the situation into an expression. The expression representing this would be: 2x + 5 (a linear function). The 2x represents how much his dad gives Joseph weekly. The 5 represents how much Joseph already has.

Hope it helps!

7:5 is equivalent to...?​

Answers

Answer:

6:0

Step-by-step explanation:

Thank me later :)))))))))

what’s a non example of a slope

Answers

Answer:

a leveled line or a straight line

E = MV^2 ÷ 2 + mgh, If M=20, h=15, E=4900, g=9.8. Find V​

Answers

Answer:

V = 14 m/s

Step-by-step explanation:

[tex]E = MV^2 ÷ 2 + mgh \\ \\ 4900 = 20V^2 ÷ 2 + 20 \times 9.8 \times 15 \\ \\ 4900 = 10V^2 + 2,940\\ \\ 4900 - 2940 = 10V^2 \\ \\ 1960 = 10V^2 \\ \\ V^2 = \frac{1960}{10} \\ \\ V^2 = 196 \\ \\ V = \sqrt{196} \\ \\ V = 14 \: m {s}^{ - 1} [/tex]

3 = 2 + n/4(that's supposed to be a fraction)someone help solve solve for n​

Answers

Answer:

n = 4

Step-by-step explanation:

3 = 2 + n/4

1 = n/4

4 = n

Answer:

n = 4

Step-by-step explanation:

take the 2 and subtract it from itself then you gotta do it to the other side so it be 3 -2 and you get 1 then you multiply 4 to n/4 and it crosses it out and what you do to one side you do to the other so you multiply 4 by 1 & get 4

A cat leaps from the ground into the air with an initial vertical velocity of 11 ft/s. After how many seconds does the cat land on the ground?

Answers

Answer:

11/16 of a second

Step-by-step explanation:

iv) The number 211539 is divisible by​

Answers

Answer:

The answer would be the number 3

Answer:Answer:32+1+1+5+3+9=217×3=217×3=213×7=21

Triangle A C B is a right triangle. Angle C A B is 90 degrees, angle A B C is (4 x) degrees, and angle A C B is (7 x minus 20) degrees. What is the m∠ACB? 10° 50° 90° 180°

Answers

Answer:

50°

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees

Hence given that in a triangle ACB with angles 90°, 4x°, 7x - 20

As such

90 + 4x + 7x -20 = 180

simplify

11x + 70 = 180

11x = 180 - 70

11x = 110

Divide both sides by 11

x = 110/11

x = 10

m∠ACB is 7x - 20

Substitute the value of x into the expression

= 7(10) - 20

= 70 - 20

= 50

Answer:

The answer is 50 degrees

Step-by-step explanation:

Chad has a rope that is 24 yards long. How many pieces of rope measuring 4/7 of a yard can he divide his rope into?

Answers

Answer:

42

Step-by-step explanation:

Chad has a rope that is 24 meters long

He wants to divide the rope so each piece will be 4/7 yards

= 24÷ 4/7

= 24× 7/4

= 168/4

= 42

Hence he can divide the rope into 42 pieces

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