we both play a game where we flip a coin. you win if 3 heads appear, i win if 3 tails appear. what is the expected number of flips for the game to end.

According to the given statement the quicker roofer can finish a house's roof in around 6.7 days when working alone.

In a given base, a round number is a number that ends including one or more "0s." So, 590 is more round than 592, but less round than 600. A round number is frequently interpreted in both technical and casual language to stand for something like a value or values close to the nominal value represented.

If the faster roofer takes t, the slowest one will take 3t.

Their total daily charges for roofing are

1/t + 1/(3t) = 1/5

4/(3t) = 1/5

multiply by 5t

t = 5(4/3)

= 20/3

= 6.7

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The partial fraction decomposition of the given expression can be written as

[tex]\frac{(x-30)}{x2+x-30} = \frac{A}{(x-5)} +\frac{B}{(x+6)}[/tex]

What is the partial fraction and quadratic equation?

The expression which is in the form of a rational equation can be converted to multiple fractions by performing factors of the denominator equation. And later split the fraction expression into two or more simpler fractions which form a partial fraction.

A quadratic expression is a second degree polynomial equation whose coefficients are real numbers. It comes from the word “quad” which means “square”. And that is why the degree of a quadratic equation is two.

According to the question, the factors of the denominator expression which is quadratic in nature:

[tex](x^{2} +x-30)=(x-5)(x+6)[/tex]

Now, the factors of the given expression are possible. The the partial fraction can be written as:

[tex]\frac{(x-30)}{x2+x-30} = \frac{A}{(x-5)} +\frac{B}{(x+6)}[/tex]

The factors of the second equation are not possible.

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The equation of the parabola in vertex form is y=-2(x-4)²+4.

Given that the vertex point is (4,4), (3,2).

The equation of a parabola in vertex form is y=a(x-h)²+k where a is called stretch coefficient and the point (h,k) is the vertex of the parabola.

A parabola with its vertex at the point (4,4), therefore h=4,k=4 and we can write

y=a(x-4)²+4

To find the value of a we use the point (3,2). Substituting on the equation we get:

y=a(x-4)²+4

2=a(3-2)²+4

2=a(1)²+4

2=a+4

2-4=a

-2=a

Then the equation of the parabola in vertex form is y=-2(x-4)²+4.

Hence, the equation of the parabola in vertex form from the given point (4,4), (3,2) is y=-2(x-4)²+4.

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Answer:

+6

Step-by-step explanation:

(-1, 2))

You just to make use of the Midpoint Formula to solve for the missing coordinate

Midpoint Formula

((x1 + x2)/2, (y1 + y2)/2)

Midpoint (0,-1) end point (1,-4)

Let x1 = 1, the x coordinate of the endpoint

Let x2 = the x coordinate of the unknown endpoint

Let y1 = -4, the y coordinated of the endpoint

Let y2 = the y coordinated of the unknown endpoint

Just plug in the values and do the calculations

For the x coordinate of the unknown endpoint

(x1 + x2)/2

(1 + x2)/2 = 0

1 + x2 = 0

x2 = -1

For the y coordinate of the unknown endpoint

(y1 + y2)/2

(-4 + y2)/2 = -1

-4 + y2 = -2

y2 = -2 + 4

y2 = 2

So the coordinates of the other endpoint are (-1,

The midpoint becomes Midpoint M is 3/2, 6.

According to the statement

We have to find that the midpoint.

So, For this purpose, we know that the

Midpoint is the the point on a line segment or an arc that is equidistant, when measured along the line or the arc, from both endpoints.

From the given information:

The end points of AB are A (-7,7)and B (10,5).

Then

Midpoint M = Midpoint of A, Midpoint of B

Then

Midpoint M = -7+10 /2, 7+5/2

Midpoint M = 3/2, 12/2

Midpoint M = 3/2, 6.

Then the midpoint of the AB becomes the 3/2, 6. which represent the 3/2 is the x coordinates and the y coordinates is a 6.

So, The midpoint becomes Midpoint M is 3/2, 6.

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The value of the angle DCH is 72 degrees

The given parameters are

m = 11x+1,

DCH = 8x,

DCB = 172°.

The above means that:

11x + 1 + 8x = DCB

This gives

11x + 1 + 8x = 172

Evaluate the like terms

19x = 171

Divide both sides by 19

x = 9

Substitute x = 9 in DCH = 8x,

DCH = 8 * 9

Evaluate

DCH = 72

Hence, the value of the angle DCH is 72 degrees

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Answer:

7.5 liter

Step-by-step explanation:

That is right 7.5 liters

Answer:

7.5 liters

its hard to explain for me because i don't know some other English words.

Using an exponential function, it is found that 7 rounds are needed before all 1560 members are called.

An exponential function is modeled as follows:

[tex]y = ab^x[/tex]

In which:

Considering that initially one person knows the method, and then each person will call 3 other people, the parameters are given as follows:

a = 1, b = 3.

Hence the number of people that are called after x rounds is given by:

[tex]y = 3^x[/tex]

The number of rounds that will take for the 1560 members to be called is found as follows:

[tex]3^x = 1560[/tex]

[tex]\log{3^x} = \log{1560}[/tex]

[tex]x\log{3} = \log{1560}[/tex]

[tex]x = \frac{\log{1560}}{\log{3}}[/tex]

x = 6.69.

Rounding up, as at the end of the 6th call not all members will have been called, 7 rounds are needed before all 1560 members are called.

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Answer:

13 65/72 is your answer.

Step-by-step explanation:

Answer:

13 65/72

Step-by-step explanation:

Answer:

Step-by-step explanation:  Use Pythagorean Theorem

                              [tex]a^2 + b^2 = c^2\\[/tex]

                            [tex]15^2 + b^2 = 9^2\\[/tex]

                          [tex]225 + b^2 = 81[/tex]

                            [tex]- 255[/tex]        [tex]-255[/tex]

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

                              [tex]b^2 = 174\\[/tex]

                             [tex]b^2 = \sqrt{-174}[/tex]    

Answer:

3.92a + 1.1

Step-by-step explanation:

remove the parentheses

1.17 - 0.07 + 3.92a

subtract

1.17 - 0.07 = 1.1

= 3.92a + 1.1

It arrives 1 hour early in Kathmandu, if its average speed is increased by 5 km/h;

Average speed = 45 km/h;

Total time taken to arrive Kathmandu from Biratnagar = 10 hours

∴ Distance between Kathmandu and Biratnagar = Speed × Time

                                                                                    = 45 × 10

                                                                                    = 450 km;

If average speed is increased by 5 km/h, new average speed = 50 km/h;

New time to reach Kathmandu = Distance/ Time

                                                   = 450/50

                                                   = 9 hours;

It arrives 10 - 9 = 1 hour early in Kathmandu;

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Four variables that are most important to control in an experiment about the rate at which bread turns moldy are:

So, the variables that are most important in an experiment about the rate at which bread turns moldy are:

Therefore, four variables that are most important to control in an experiment about the rate at which bread turns moldy are:

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The correct question is given below:
Choose the four variables that are most important to control in an experiment about the rate at which bread turns moldy.

a. humidity

b. B time of day

c. age of bread

d. type of bread

e. shape of bread

f. height of observer

g. type of shelf surface

h. type of storage container

When out of the incoming freshman at a collage 2,268 of them are female and 58% are male then the total number of freshman is 5400

Given,

Number of females = 2268

Consider the total number students as x

Percentage of male = 58%

Then the equation will become

x-2268= x×[tex]\frac{58}{100}[/tex]

x-2268=0.58x

x-0.58x=2268

0.42x=2268

x=5400

Hence, when out of the incoming freshman at a collage 2,268 of them are female and 58% are male then the total number of freshman is 5400

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The sampling process used by the school newspaper is convenience sampling.

Convenience sampling is the most popular kind of sampling that concentrates on gathering data from individuals (the sample) who are 'convenient' for the researcher to reach. With this sample strategy, researchers can choose subjects at random who are receptive to being contacted and participating in the study rather than selecting participants at random based on any set of criteria (such as demographic variables). This implies that one can locate your sample at any time and any place, such as among individuals in a mall, on the street, at work, or in an online community.

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Answer:

D. 29

Step-by-step explanation:

just did the test and got it correct. Edmentum, Plato.

Answer:12.4

Step-by-step explanation:

22=5(y-8)  Use the distribution property

22=5y-40   Add 40 to both sides

62=5y   Divide 5 from both sides

12.4 = y

Answer:

y=62/5

Step-by-step explanation:

mueva los términos

22=5y-40

calcule

-5y=-40-22

multiplique ambos lados

-5y=-62

y=62/5

Answer:  The answer is "54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the usage should be between 17.7 and 37.6 HCF."

I took the test.

Answer: 4.5 x 1012 = 4554x

Step-by-step explanation:

5.12 x 109 = 558.08

When, the coordinate a and b are colinear, and b lies between a and c, if ac=36, ab= 2x+4 and bc=4x+2, then the value of x is 5

Given,

The coordinates a and b are colinear.

The point b lies between a and c

Therefore,

ac = ab + bc

ac= 36

ab= 2x+4

bc= 4x+2

Substitute the values

36= 2x+4 + 4x+2

36= 6x+6

6x= 36-6

6x=30

x=5

Hence, when the coordinate a and b are co-linear, and b lies between a and c, if ac=36, ab= 2x+4 and bc=4x+2, then the value of x is 5

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By applying the supplementary angle theorem, the magnitude of angle EBF (m<EBF) is equal to 60°.

A supplementary angle can be defined as two (2) angles or arc whose sum is equal to 180 degrees.

Mathematically, a supplementary angle can be calculated by using this formula:

Q + R = 180

Where:

Q and R are measure of the angles subtended.

Substituting the given parameters into the formula, we have;

m<EBC + m<ABE = 180

3y + 10 + 2y - 20 = 180

5y - 20 = 180

5y = 180 + 20

5y = 200

y = 200/5

y = 40

Now, we can determine the magnitude of angle EBF (m<EBF) based on the given diagram:

m<ABE = m<EBF

m<EBF = 2y - 20

m<EBF = 2(40) - 20

m<EBF = 80 - 20

m<EBF = 60°

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The domain of the function is -4 ≤ x ≤ 1.5. The correct answer is option B.

What is Domain ?

A domain is the possible independent variable value of a function. In a two dimensional graph, the independent variable is x - axis.

From the given graph, tracing the line of the equation to the x - axis, the independent variable value span from x = -4 to x = 1.5.

So, we can say that the domain of the function is -4 ≤ x ≤ 1.5

Therefore, the correct answer is option B.

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For given scenario the dependent variable would be the life of flowers.

For given question,

The variable that researchers are trying to explain or predict is called the

response variable. It is also sometimes called the dependent variable

because it depends on another variable.

The variable which is used to predict the response variable is known as the explanatory variable. It is also called as an independent variable because it does not depend on another variable.

The amount of sugar would be an independent variable and the life of flowers is a dependent variable.

Therefore, for given scenario the dependent variable would be the life of flowers.

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The value of 8-√5 is approximately 5.76 which is calculated by rounding the square root of 5 to 2 decimal places.

A number y whose square (the outcome of multiplying the number by itself, or y × y), is x (y² = x) is said to be the square root of a number x.

Now the given expression is of the form ( 8 - √5 )

We know that √5 = 2.2360... ≈ 2.24 (rounded to 2 decimal places.)

∴ 8 - √5

= 8 -  2.24

= 5.76

Hence the value of the expression is approximately 5.76  .

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Disclaimer: The complete question is:

What is the approximate value of 8–√5 ?

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The proportion of heads and the proportion of tails p(H) + p(T) = 1.

Let p(H) represent the long-term probability that the coin will land on heads, and p(T) represent the long-term probability that the coin will land on tails.

Keep in mind that we must be at a tail and transition with a probability of 0.5 in order to get a head. So, p(H) = 0.5p(T).

Noting that we can either be at a head and transition to a tail with a probability of 1, or at a tail and transition to a tail with a probability of 0.5, we can obtain a tail. p(T) therefore equals 0.5 * p(T) + p(H).

Note that p(T) = 2 p is the result of the first two equations (H). We obtain p(H) = 1/3 and p(T) = 2/3 by substituting into p(H) + p(T) = 1. So, eventually, we'll have two-thirds of the coins with heads and one-third with tails.

The probability of finding three heads is 1/4. We should find the probability of finding three heads in five tosses with the help of the following formula:

p(x) = (x+1) C x-1 p(3 Heads)

p(x) = (5+1) C 4 -1p(3 Heads) = 7/8.

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The statement "twice a number y increased by seven " can be expressed by the algebraic expression is 2y+7.

A mathematical construct called an algebraic expression is made up of integer constants, variables, and algebraic operations (addition, subtraction, multiplication, division, and exponentiation by a rational exponent).

Let us take an expression 5a²+2c+7 is an algebraic expression. Where

a,c are variables 5 and 2 are coefficients and 7 is the constant.

The given statement is "Twice a number y increased by seven". let us break it into smaller parts:

Twice a number y is represented by 2y , then it is increased by 7 . So the required expression comes out as 2y+7.

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Answer:

8.5°

Step-by-step explanation:

25 + (-8)

=25 - 8

=17 ÷ 2

= 8.5°

Yes , s = - 6 is the solution of the given inequality 3s ≤  19 .

If s = - 6 is the solution of given inequality 3s ≤  19  ...... (1)  then , it must satisfy the inequality.

Putting s = - 6 in equation (1) , we get

     [tex]3(-6)\leq 19\\-18\leq 19[/tex]

As the above condition is true so , s = - 6 is the solution of given inequality.

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