17. Your friend is betting on a game in which the probability of winning is 1 in 5. He has lost 5 games in a
row, so he says he will double his bet on the next game. What do you tell your friend?

Answers

Answer 1

The only problem is you may also go bankrupt before you're able to double your bet enough times.

If the game's events are independent,  similar to flipping a coin,  then the probability never changes, it's still a 1 out of 5 chance of winning each time.

The coin has no memory,  so it will always have the same probability on each flip.

If the games' events are like that,  a losing streak doesn't mean a win is now more likely.

But if the events are not independent,  it may make sense to increase the bet.  

for example,  a bag has 10 coins and 2 are worth 100.  You reach in and pull out 5 coins, all worth only a penny each.

What is the probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Your odds of getting one of the 2 $100 coins is now much greater than the original 1 out of 5 chance.

 You originally had a 2 out of 10 chance on the first draw.  But now it's up to 2 out of the remaining 5 or 40% chance of winning.  

There is another reason someone may wish to double their bet.  If you doubled your bet each time you lost,  you would eventually recoup all your losses.  It can work.

The only problem is you may also go bankrupt before you're able to double your bet enough times.

That risk is usually considered too great to double your bets on independent events.

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Related Questions

What is the product?
- 6(x²-1)-8(x+1)
O 6(x-1)²
O 6(x²-1)
O(x + 1)(6x-1)
O(x-1)(6x - 1)

Answers

Answer: C

Explanation:i got it right on my test

A satellite orbits the Earth with an elliptical orbit modeled by x squared over 43 million eight hundred twenty four thousand four hundred plus y squared over forty seven million one hundred ninety six thousand nine hundred equals 1 comma where the distances are measured in km. The Earth shares the same center as the orbit. If the radius of the Earth is 6,370 km, what is the maximum distance between the satellite and the Earth?

250 km
500 km
6,620 km
6,870 km

Answers

"For a satellite orbit, the Earth with an elliptical orbit modeled by..." the maximum distance between the satellite and the Earth is

D= 510 km. Option B. This is further explained below.

What is Kepler Orbit?

Generally, In the study of astrodynamics, an ellipse of the satellite is often referred to as a Kepler Orbit

The function of the elliptical orbit is

[tex]\frac{(x-h)^2}{a^2}+\frac{(x-k)^2}{b^2}=1[/tex]

compared to

[tex]\frac{(x^2)^2}{47334400}+\frac{(y^2)^2}{43956900}=1[/tex]

Hence

a = √(47,334,400 km²)

a= 6,880 km.

In conclusion, The distance of the satellite above the Earth's surface.

D = a - r

D= 6,880 km - 6,370 km

D= 510 km

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"For a satellite orbit, the Earth with an elliptical orbit modeled by..." the maximum distance between the satellite and the Earth is D= 510 km. Option B.

What is Elliptical Orbit?

An elliptic orbit or elliptical orbit is a Kepler orbit with an eccentricity of less than 1; this includes the special case of a circular orbit, with eccentricity equal to 0.

The function of the elliptical orbit is

[tex]\frac{{(x-h)}^2}{a^2}+ \frac{{(y-k)}^2}{b^2} = 1[/tex]

compared to

  √([tex]\frac{({x^2)}^2}{47,334,400} + \frac{({y^2)}^2}{43956900} = 1[/tex]

a = √(47,334,400 km²)

a= 6,880 km.

Now,

D = a - r

D= 6,880 km - 6,370 km

D= 510 km

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Find the area of triangle PQR.

Answers

Step-by-step explanation:

To get the angle of QPR, we subtract 90-60=30. This proves that the triangle is a 30,60,90, as angle QRP must be 60°. To get the area, we must know the length and width. These can be derived from a known relationship within 30,60,90 triangles.

[tex]qp = \frac{\sqrt{3}}{2} n[/tex]

[tex]qr = \frac{1}{2} n[/tex]

[tex]pr = n[/tex]

because half of pr is 10, we can conclude that n is 20. So we plug 20 into N for QP and QR, and get values of

[tex]qp = 5 \sqrt{3} [/tex]

[tex]qr = 5[/tex]

Now we multiply (l*w)/2 and get:

[tex] \frac{(5 \sqrt{3} \times 5)}{2} = 21.65 \: units[/tex]

Circle G is shown. Line segment F G is a radius with length 3.
In circle G, r = 3 units. Maria draws a circle with double the area of circle G.

What is the area of Maria’s circle?

6Pi units squared
9Pi units squared
12Pi units squared
18Pi units squared

Answers

The area of Maria’s circle is 18π square units option fourth is correct.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

The figure is missing.

Please refer to the attached picture for the figure.

We have given the radius of the circle as 3 units

r = 3 units

Area of circle = πr² = π(3)² = 9π square units

The area of Maria’s circle = 2(9π) = 18π square units

Thus, the area of Maria’s circle is 18π square units option fourth is correct.

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Math: One to One function...help!

Answers

A one-to-one function has an inverse. The inverse is another function that undoes the action of the first one, so if we evaluate a function [tex]f[/tex] at some point [tex]x[/tex] to get the number [tex]f(x)[/tex], evaluating the inverse at [tex]f(x)[/tex] will recover the original input [tex]x[/tex]. In other words,

[tex]f^{-1}(f(x)) = x[/tex]

The process works in the opposite direction, too:

[tex]f\left(f^{-1}(x)\right) = x[/tex]

From the given definition of [tex]g[/tex], we have [tex]g(-4) = 3[/tex], so taking inverses on both sides, we find

[tex]g(-4) = 3 \implies g^{-1}(g(-4)) = g^{-1}(3) \implies \boxed{g^{-1}(3) = -4}[/tex]

Given [tex]h(x)=2x-13[/tex], evaluating [tex]h[/tex] at its inverse will recover [tex]x[/tex], so that

[tex]h\left(h^{-1}(x)\right) = x \implies 2h^{-1}(x) - 13 = x \implies \boxed{h^{-1}(x) = \dfrac{x+13}2}[/tex]

[tex](h\circ h^{-1})(x)[/tex] is another way of writing the compound function [tex]h\left(h^{-1}(x)\right)[/tex]. As already discussed, this reduces to [tex]x[/tex], so

[tex]\boxed{\left(h\circ h^{-1}\right)(-9) = -9}[/tex]

Assuming two hikers begin at a trail start, which scenarios must be true based on the table? Check all that apply.

Melissa and Corey started on different trails.
Melissa hiked up the trail for a longer period of time than Corey.
Melissa and Corey crossed paths between 60 and 90 minutes.
Corey began his descent before Melissa.
As Melissa’s time increased from 0 to 60 minutes, her elevation decreased.

Answers

The true statements are (A), (B) and (D)

What is data?

Data is information that has been translated into a form that is efficient for movement or processing.

As, from the given table we can see that

Melissa and Corey started on different trails.Melissa hiked up the trail for a longer period of time than Corey.Corey began his descent before Melissa.

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Find the 7th term in the
sequence
-, -1, -5, -25, . . .
Hint: Write a formula to help you.
1st term. Common Ratio (desired term - 1)
Enter

Answers

Answer: -15625

Step-by-step explanation:

The explicit formula for the sequence is

[tex]a_{n}=-1(5)^{n-1}\\\\\implies a_{7}=-1(5)^{7-1}=\boxed{-15625}[/tex]

Change a Relation to Make It a Function The relation R is shown below as a list of ordered pairs. R = { (1, 4), (1, 3), (-1, 3), (2, 15) } Which ordered pairs prevent this relation from being a function? (1, 4) and (1, 3), because they have the same x-value (1, 3) and (–1, 3), because they have the same y-value

Answers

Answer: (1,4) and (1,3) because the have the same x-value

Step-by-step explanation:

A function is defined so that for each input (known as the domain), there is no more than one output (known as the range).

If f(x)=16x- 30 and g(x)= 14x-6, for which value of x does (f-g)(x)=0?

Answers

Answer:

x=12

Step-by-step explanation:

16x-30-(14x-6)=2x-24=0. add 24 on both sides to get 2x=24. divide by 2 on both sides to get x=12

Basically look at the picture I don’t even know what to say

Answers

Answer:

C

Step-by-step explanation:

x = [tex]\frac{2}{3}[/tex] πr³ ( multiply both sides by 3 to clear the fraction )

3x = 2πr³ ( divide both sides by 2π )

[tex]\frac{3x}{2\pi }[/tex] = r³ ( take cube root of both sides )

[tex]\sqrt[3]{\frac{3x}{2\pi } }[/tex] = r

Answer:

[tex]r=\sqrt[3]{\frac{3x}{2\pi }}[/tex]

Step-by-step explanation:

This question make look scary, but don't judge its book by its cover.

[tex]x=\frac{2}{3} \pi r^{3} \\\frac{2}{3} \pi r^{3}=x\\r^{3} =x / \frac{2\pi }{3} \\r^{3} =x*\frac{3}{2\pi } \\r^{3} =\frac{3x}{2\pi } \\r=\sqrt[3]{\frac{3x}{2\pi }}[/tex]

The temperature is 20 degrees and is expected to fall 2 degrees each hour.
Write a linear equation in slope-intercept form to model this situation.

Answers

Answer:

20-2h

Step-by-step explanation:

20 is the original amount. The variable stands for the number of hours. You are TAKING AWAY 2 degrees every hour so you would subtract.

PLEASEEEEEE HELPPPPPPP!!! 50 POINTSSSSSS

12 = 6^2 + 7^2 - 2 (6) (7) (cosA)
solve for the cosA

Answers

Step-by-step explanation:

please mark me as brainlest

The Scooter Company manufactures and sells electric scooters. Each scooter cost $150 to produce, and the company has a fixed cost of $2,000. The Scooter Company earns a total revenue that can be determined by the function R(x) = 400x − 2x2, where x represents each electric scooter sold. Which of the following functions represents the Scooter Company's total profit?

−2x2 − 150x − 2,000
−2x2 + 250x − 2,000
−2x2 + 150x − 1,600
−300x3 − 4,000x2 + 60,000x + 800,000

Answers

The function that represents the Scooter Company's total profit is given by:

P(x) = -2x² + 250x - 2,000.

How to calculate the profit function?

The profit function is calculated by the revenue function subtracted by the cost function, hence:

P(x) = R(x) - C(x).

In this problem, we have that:

The revenue function is: R(x) = 400x - 2x².The cost function is: X(x) = 150x + 2000.

Hence the profit function is:

P(x) = R(x) - C(x).

P(x) = 400x - 2x² - (150x + 2000).

P(x) = -2x² + 250x - 2,000.

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simplify 12 + 15 ÷ 3 × 6 – 4

Answers

Answer: 40 (Simplify)

If f(x) = 2x+6 and g(x)= x3 what is (g f)(0)?

Answers

Answer:

[tex]27[/tex]

Step-by-step explanation:

[tex]g(f(0))=g(2(0)+3)=g(3)=3^3=27[/tex]

What is
162divide[6 multiply (7-4) to the second power]
help please

Answers

Answer:

please mark me brainlist

Step-by-step explanation:

i need it

Answer:

3^1 multiplied by 3^2 = 3^(1 + 2) = 3^3

162

Simplify ——————

(2•3^3)

Canceling out 2 as it appears on both sides of the fraction line

3^4 divided by 3^3 = 3^(4 - 3) = 3^1 = 3

Step-by-step explanation:

hope this helps you ♡

y = ( x + z) ( x+ 2x)

Answers

Answer:

3x^2 + 3xz

Step-by-step explanation:

Under the assumption that I need to distribute,

(x + z)(x + 2x)

(x + 2x) is (3x)

3x(x + z) becomes 3x*x and 3x*z

3x*x = 3x^2

3x*z = 3xz

combine, 3x^2 + 3xz

AND WELCOME TO BRAINLY!

LET ME KNOW IF YOU NEED ANY MORE HELP :)

The graphs below have the same shapes. What is the equation for the red graph?

Answers

The equation for the red graph is f(x) = -x².

How to depict the equation?

From the information given, g(x) = 4 - x².

The vertex of the point (0, 4) and (0, 0) for g(x) and f(x) respectively. The rule of the translation will be:

(x, y) = (x, y -4).

The equation of the function will be:

f(x) = g(x) - 4

f(x) = (4 - x²) - 4

f(x) = -x²

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Line l passes through point (−2,37) and line p is the graph of y+3=−5(x+4) .

If l is parallel to p what is the equation of l ?

Answers

The slope of line p is -5, so substitute into point-slope form, we get

[tex]\boxed{y-37=-5(x+2)}[/tex]

if m=p/2+3r. find the value of p if r=1 and m=5​

Answers

Answer:

p = 4

Step-by-step explanation:

[tex]m =\frac{p}{2} +3r[/tex]

[tex]\Longrightarrow m-3r=\frac{p}{2}[/tex]

[tex]\Longrightarrow 2m-6r=p[/tex]

[tex]\Longrightarrow p = 2m-6r[/tex]

If m = 5 and r = 1

Then

p = 2(5) - 6(1)

  = 10 - 6

  = 4

Britney sells mattresses at a furniture store. She makes a 9.75% commission on each mattress she sells. Last week, Britney sold four mattresses. The sale price of each mattress is shown in the table.

How much did Britney earn last week?

Enter your answer in the box.

$

Mattress sale Amount
Mattress 1 $2400
Mattress 2 $3200
Mattress 3 $1900
Mattress 4 $800

Answers

Answer:

$809.25

Step-by-step explanation:

→ Find the sum of the sales amount

2400 + 3200 + 1900 + 800 = 8300

→ Find the amount that s commission

( 9.75 × 8300 ) ÷ 100 = $809.25

Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 square inches. In the equation (x + 2)2 = 121, x represents the side measure of the cropped photo.

What are the dimensions of the cropped photo?

8 inches by 8 inches
9 inches by 9 inches
12 inches by 12 inches
13 inches by 13 inches

Answers

Answer:

x = 9 or B

Step-by-step explanation:

Formula

(x + 2)^2 = 121                        

Comment

The easiest way to do this is to take the square root immediately, which is usually possible.

Solution

√(x + 2)^2 = √121                     Take the square root

x + 2 = 11                                   Subtract 2 from both sides

x + 2 -  2 = 11 - 2

x = 9

Answer: B) 9 inches by 9 inches

Step-by-step explanation:

Edg 2022

The set of all numbers greater than or equal to −5 and less than 5.

Answers

Answer:

No. greater than of equal to (-5) = -4,-3,-2,-1,0,1,2,3,4,5,6...........

No. less than 5 = 4,3,2,1 ,0,-1......

{ -4,-3,-2,-1,0,1,2,3,4}


Identify one pair of vertical angles in the diagram below,

Answers

Angle b and d the third option

Answer:

b and d

Step-by-step explanation:

there are two

but only one is an answer choice

b and d

the other which is not an answer choice is

a and c

gathmath

A
Find the value of x.
6
X
B
D
x = [?]
8
4
C

Answers

Answer:

x = 3

Step-by-step explanation:

8/2 = 4

6/2 = 3

x = 3

Can y’all please help me with this ! Everybody have a good day!

Answers

Answer: A. She substituted incorrectly into the distance formula


She should be subtracting x from x and y from y but she is subtracting y from x.

Answer is A they are supposed to minus one set of x and y but Helen subtracted the x values and y values

1. What is the length of XU?
X
U
Y
36 in
V
Z
W
23 in

Answers

Answer: 49 in

Step-by-step explanation:

[23 + XU]/2 = 36 [trapezoid midsegment theorem]23 + XU = 72 [multiply both sides by 2]XU = 49 [subtract 23 from both sides]

Complete the coordinate proof of the theorem.

Answers

The coordinate of C( a+c , b) ,  AC are ((a+c)/2 , b/2) , BD are ((a+c)/2 , b/2)

What are Coordinates ?

Coordinates is the value assigned to a point in a x-y graph to determine its location.

The coordinates of parallelogram is

A ( 0,0) B (a,0) , C ( __ , ___) , D ( c , b)

The y coordinate is same as D as b

and the x coordinate will be a+c

C( a+c , b)

The coordinate of the mid point of AC are ((a+c)/2 , b/2)

The coordinate of the mid point of BD are ((a+c)/2 , b/2)

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Construct a polynomial function with the following properties fifth degree, 3 is a zero of multiplicity 3, - 4 is the only other zero, leading coefficient is 3

Answers

The polynomial function with the given properties is; y = 2(x - 3)³(x + 4)²

How to construct polynomial functions?

Polynomials are defined as algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

We need to form a polynomial expression with the following properties;

fifth-degree, 3 is a zero of multiplicity 3, −4 is the only other zero and ,the leading coefficient is 3. Thus, the polynomial will be;

y = 2(x - 3)³(x + 4)²

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A table is in the shape of a regular
hexagon. The perimeter of the table is 12
feet. What is the length of each side of
the table?

A 1 ft
B 2 ft
C 3 ft
D 4 ft

Answers

Answer:

B

Step-by-step explanation:

A hexagon has 6 sides. If you divide the perimeter(12) by the number of sides(6), you get the length of one side(2).

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