What's the number of possible outcome when a coin is tossed four times

The image above represents a proof of the Pythagorean Theorem is image B.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship in Euclidean geometry between the three sides of a right triangle.

It states that the sum of the squares of the leg lengths equals the square of the hypotenuse length.

This is illustrated as:

a² = b² + c²

The values in image 2 will be used to ascertain this. Therefore,

5² + 12² = 13²

25 + 144 = 169

169 = 169

Therefore, B is correct as the value is gotten.

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Answer:

u see the formula for the Pythagorean theorem is a^2 + b^2 = c^2 i hope this helps please mark as brainliest have a good day!!! :D Bye

Step-by-step explanation:

The equivalent expression of the given expression is [tex]\frac{g^1^5}{8h^6}[/tex].

What is inequality?

Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Consider the given expression, [tex]\frac{(2g^5)^3}{(4h^2)^3}[/tex]

Using the rule, [tex](a^m)^n = a^m^n[/tex]

So, [tex]\frac{(2g^5)^3}{(4h^2)^3} = \frac{8g^1^5}{64h^6}[/tex]

After simplifying  we get,  [tex]\frac{g^1^5}{8h^6}[/tex]

Therefore, the equivalent expression of the given expression is [tex]\frac{g^1^5}{8h^6}[/tex].

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Answer:

Step-by-step explanation:

Given Equation

3x^2 + x = - 2x - 7  

Solution

Add 2x + 7 to both sides

3x^2 +x + 2x + 7 = -2x - 7 + 2x + 7           Combine like terms

3x^2  + 3x + 7 = 0

Givens

x = (-b +/(√b^2 - 4ac))/2

x = (-3 +/- (√3^2 - 4(3 *7)) / 2*3

x = (- 3 +/- (9 - 84)) / 2 *3

x = (- 3 +/- √ (-75))/6

x = (- 3 +/-  8.660i ) / 6

x = -.5 +/-1.443i

Answer

x = -.5 + 1.443.i

x = -.5 - 1.443i

Using the normal distribution, the probabilities are given as follows:

a. Between 8 and 12 cases with side effects: 0.582 = 58.2%.

b. More than 16 cases with side effects: 0.0174 = 1.74%.

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given by the equation presented below:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The parameters for the binomial distribution in this problem are given as follows:

p = 0.05, n = 200.

Hence the mean and the standard deviation of the approximation are given as follows:

For item a, using continuity correction, the probability of between 8 and 12 cases with side effects is the p-value of Z when X = 12.5 subtracted by the p-value of Z when X = 7.5, hence:

X = 12.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (12.5 - 10)/3.08

Z = 0.81

Z = 0.81 has a p-value of 0.7910

X = 7.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (7.5 - 10)/3.08

Z = -0.81

Z = -0.81 has a p-value of 0.2090.

0.7910 - 0.2090 = 0.582 probability.

For item b, the probability of finding more than 16 cases with side effects is one subtracted by the p-value of Z when X = 16.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (16.5 - 10)/3.08

Z = 2.11

Z = 2.11 has a probability of 0.9826.

1 - 0.9826 = 0.0174 = 1.74% probability.

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Answer:

x = - 5;

y = 5;

Step-by-step explanation:

Identify the equation.

y = ( 2 / 3 )x + c;

Substitute a point.

5 = ( 2 / 3 )( - 2 ) + c;

5 = ( - 4 / 3 ) + c;

5 - ( - 4 / 3 ) = c;

5 + ( 4 / 3 ) = c;

19 / 3 = c;

y = ( 2 / 3 )x + ( 19 / 3 );

Substitute point A.

3 = ( 2 / 3 )x + ( 19 / 3 );

3 - ( 19 / 3 ) = ( 2 / 3 )x;

( 9 / 3 ) - ( 19 / 3 ) = ( 2 / 3 )x;

- ( 10 / 3 ) = ( 2 / 3 )x;

- ( 10 / 3 )( 3 / 2 ) = x;

( - 30 / 6 ) = x;

- 5 = x;

x = - 5;

Substitute point B. Use common sense and notice that point B is actually the same as the first point.

y = 5;

Answer:

x =  -5

y = 5

Step-by-step explanation:

You could write the equation in the point slope form of a line

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex])

Use the slope they gave us 2/3.  Use the point they gave us for [tex]x_{1}[/tex] ( -2 ) and [tex]y_{1}[/tex] ( 5)

y -5 = 2/3(x - -2)

y - 5 = 2/3(x + 2)  Plug in 3 for y to solve for x

3-5 = 2/3(x + 2)

-2 = 2/3x + 4/3  subtract 4/3 from both sides of the equation

-2 - 4/3 = 2/3x

[tex]\frac{-6}{3}[/tex] - [tex]\frac{4}{3}[/tex] = 2/3x

[tex]\frac{-10}{3}[/tex] = 2/3 x  Multiply both sides by [tex]\frac{3}{2}[/tex]

([tex]\frac{3}{2}[/tex])[tex]\frac{-10}{3}[/tex] = ([tex]\frac{3}{2}[/tex])([tex]\frac{2}{3}[/tex]) x

-5 = x

substitute in -2 for x to solve for y

y - 5 = 2/3(x + 2)

y - 5 = 2/3(-2+2)

y - 5 = 2/3(0)

y - 5 = 0  Add 5 to both sides

y = 5

2

Step-by-step explanation:

n(A-B)

n(4-2)

n(2)

Therefore n(A-B)=2

-83843/21 is the partial fraction of Four thousand three hundred fifty seven divided by twenty one minus four thousand two hundred.

Two or more expressions with an Equal sign is called as Equation.

Four thousand three hundred fifty seven divided by twenty one minus four thousand two hundred.

4357/21 - 4200

Take LCM as 21.

4357-88200/21

-83843/21

=-3992.5

Hence -83843/21 is the partial fraction of Four thousand three hundred fifty seven divided by twenty one minus four thousand two hundred.

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Answer:

B' (-3,11)

Step-by-step explanation:

B(2,3)  The rule is saying subtract 5 from x and 8 add to y

(2 -5, 3 + 8)

(-3,11)

The linear function will be;

⇒ y = - 4x + 5

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The functions are,

1. y = - 3x² + 2

2. y = 2x²

3. y = - 4x + 5

4. y = x³

Now,

Since, The linear function has a variable raised to the first power.

Clearly, In first equation;

The highest power of the variable is 2.

So, It is not a linear function.

Clearly, In second equation;

The highest power of the variable is 2

So, It is not a linear function.

Clearly, In third equation;

The highest power of the variable is 1.

So, It is a linear function.

Clearly, In fourth equation;

The highest power of the variable has power 3.

So, It is not a linear function.

Therefore, The linear function will be;

⇒ y = - 4x + 5

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Remember that

1 m3=1,000 lt

2 m3=2,000 lt

The volume of the tank is equal to

V=L*W*H

we have

V=2 m3

L=4 m

W=1.5 m

H=?

substitute given values

2=4*1.5*H

solve for H

2=6H

H=2/6

Answer:

y = (-1/4)x - 10

Step-by-step explanation:

y = 4x - 1

y = -1/4x - 1

(4, -11),

(x₁, y₁)  

y - y₁ = m(x - x₁)

y - (-11) = (-1/4)(x - 4)

y + 11 = (-1/4)x + 1

   -11                 -11

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

y = (-1/4)x - 10

I hope this helps!

If two expressions have the same coefficients of the variable, then the variable can be any number

For the first choice

3(3r + 3) = 9r + 9 === 1st expression

6r + 6 ===== 2nd expression

If we equate them

9r + 9 = 6r + 6

If we solve the equation we will find just one value of r

9r + 9 - 6r = 6r - 6r + 6

3r + 9 = 6

3r + 9 - 9 = 6 - 9

3r = -3

r = -1

But in the other choices, the two expressions have the same coefficients of r

Then when we equate them they will cancel each other

Then r can be any value

Because it does not affect the equation

The area of a pool from the given situation is 816 ft².

Given that, the dimensions of plot is 50 ft and 40 ft.

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Here, area of a plot = Length × Width

= 50 × 40

= 2000 ft²

Area of a pool = Area of a plot - Area of a grass

= 2000 - 1184

= 816 ft²

Therefore, the area of a pool from the given situation is 816 ft².

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Answer: W=−1/10

Step-by-step explanation:

Move all terms not containing

W

to the right side of the equation.

Exact Form:

W=−1/10

Decimal Form:

W=−0.1

Answer:

23

Step-by-step explanation:

There are 24000 spectators left the contest discontented.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that Only 20 percent of the spectators left the contest discontented.

If 6000 spectators left the contest contented, then the contest  left discontented are;

The spectators left the contest contented = 6000

20/ 100 x D = 6000

D = 6000 x 100/20

D = 30000

Now the contest  left discontented are;

80 percent = 80/100 x 30000

= 24000

Hence, 24000 spectators left the contest discontented.

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Answer:

2 hours

Step-by-step explanation:

10+10= 20, so $20 fee

2+2= 4, so a fee for every hour she has the bike.

20+4= $24, so 2 hours maximum

If you tried adding another hour (which would be $12) that would equal $36 which is over her budget.

Answer:

B. Opposite angles in a parallelogram are congruent.

Explanation:

The figure shows a parallelogram. In this parallelogram, ∠R and ∠T are opposite angles and ∠Q and ∠S are opposite angles.

Since the information says that ∠R is congruent to ∠T and ∠Q is congruent to ∠S, the theorem is opposite angles in a parallelogram are congruent.

So, the answer is B. Opposite angles in a parallelogram are congruent.

Answer:

The first option is correct :)

Step-by-step explanation:

x=-6, x=-2

|x+4|=2

x+4=2, x=-2

x+4=-2, x=-6

:] (Tell me if this is incorrect!)

(brainliest would help a lot)

Answer: the first one (-2,-6)

Step-by-step explanation:

|x+4| = 2

subtract 4 from both sides and you get -2

|x+4| = -2

subtract 4 from both sides and you get -6

If you want to check your answers, plug it into the original equation

Answer:

2.25

Step-by-step explanation:

Answer:

2.25

Please:
Please Give Brainlist

Answer:

Surface area is the total area of the faces of a three-dimensional shape.

A square can not have a surface area since it's two dimensional. If you meant the area of a square then the formula is:

A = a²

a = length of side

8 in = 64 in

10 = 100 in

12 = 144 in

The angle measures in this problem are given as follows:

1. Angle SVT: 79º.

2. Angle BEC: 65º.

Angles SVT and SVR are vertical, meaning that they have the same measure, hence we can find the value of y as follows:

8y - 33 = 5y + 9

3y = 42

y = 42/3

y = 14.

Hence the measure of the angle SVT is of:

m<SVT = 5y + 9 = 5(14) + 9 = 79º.

The two angles given in this problem are also vertical, meaning that we can solve for x as follows:

5x - 10 = 3x + 40

2x = 50

x = 50/2

x = 25º.

Then the bottom angle is:

3 x 25 + 40 = 115º.

The bottom angle is supplementary with angle BEC, hence we can find the measure of angle BEC as follows:

115 + m<BEC = 180

m<BEC = 180 - 115

m<BEC = 65º.

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Answer: I am guessing that you want to know what x and y equals

​

The equation of the line perpendicular to 4x + 4y =32 that passes through the point (7,1) is  x - y = 6 .

In the question ,

it is given that

the required line is perpendicular to 4x + 4y =32

the slope of 4x + 4y =32

4y = -4x + 32

y = -x + 8

slope = -1

so the slope of the perpendicular line [tex]=[/tex] 1   .

the equation of the perpendicular line passing through (7,1) and slope as 1  is

(y - 1) [tex]=[/tex] 1 (x - 7)

y-1 = x-7

x - y = 7-1

x - y = 6

Therefore , The equation of the line perpendicular to 4x + 4y =32 that passes through the point (7,1) is  x - y = 6 .

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Using proportions, it is found that:

42. x and y are not proportional.

43. The number 21 is 60% of 35.

44. The number 27 is 36% of the number 75.

Two variables, x and y, will represent a proportional relationship if the ratio between them is always the same.

From the table, the ratios are given as follows:

Different ratios, hence the variables x and y are not proportional.

To find the percentage of a number, the decimal equivalent of the percentage is multiplied by the number.

The decimal equivalent of a percentage of 60% is:

60/100 = 0.6.

Hence the percentage of 35 is calculated as follows:

0.6 x 35 = 21.

The percentage that the number 27 represents of the number 75 is given by the division of 27 by 75 multiplied by 100%, hence:

27/75 x 100% = 36%.

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The slope intercept form of the equation that passes through (-6, -5) and (-4, -4) is y = 1 / 2x - 2

The equation in slope intercept form can be represented as follows:

y = mx + b

where

Therefore, let's find the slope of the lines using (-6, -5) and (-4, -4).

m = y₂ - y₁ / x₂ - x₁

m = -4 + 5 / -4 + 6

m = 1 / 2

Therefore, lets find the y-intercept using (-4, -4)

-4 = 1 / 2 (-4) + b

-4 = -2 + b

b = -4 + 2

b = -2

Therefore, y = 1 / 2x - 2

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The slope-intercept form of the equation that passes through (-6, -5) and (-4, -4) will be; y = 1 / 2x - 2

The equation in slope intercept form can be represented as :

y = MX + b

where m is the slope, b is the y-intercept

Therefore, to determine the slope of the lines using (-6, -5) and (-4, -4).

m = y₂ - y₁ / x₂ - x₁

m = -4 + 5 / -4 + 6

m = 1 / 2

Therefore, the y-intercept using (-4, -4)

-4 = 1 / 2 (-4) + b

-4 = -2 + b

b = -4 + 2

b = -2

Thus, y = 1 / 2x - 2

The slope-intercept form of the equation that passes through (-6, -5) and (-4, -4) will be; y = 1 / 2x - 2

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Answer:

The slope would be 25/1 or 25.

Step-by-step explanation:

Use the formula y2-y1 over x2-x1. Or use rise over run.

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following function:

We calculate the inverse function as follows: