5. We have 3 coins: 1 normal coin, 1 trick coin with 2 heads and 1 trick coin with 2 tails. A coin is drawn at random and put on a table and you see that it is
heads. What is the probability you have the real coin? (4 points)

Answer:

6 groups of 2, 4 groups of 3, 3 groups of 4, 2 groups of 6, and 1 group of 12 or 12 groups of 1.

Step-by-step explanation:

This question requires you to factor 12. This is because you need to find the numbers that multiply to 12, or its factors. After factoring, you get 1, 2, 3, 4, 6, and 12. When you use these numbers as the amount of groups, you can divide 12 by them to get the size of the groups.

Answer:

10.82 ft

Step-by-step explanation:

The angle is 15°.

The opposite leg is 2.8 ft.

The length of the ramp is the hypotenuse.

sin A = opp/hyp

sin 15° = 2.8/hyp

hyp = 2.8/sin 15°

hyp = 10.82 ft

9514 1404 393

Answer:

  y = 8

Step-by-step explanation:

It can be useful to write down the values of corresponding parts of the figures. This can help you see the ratio between corresponding measures. Here, we're concerned with sides.

  AB = ?, FE= 6

  BC = 10, EC = 5 . . . . . a ratio of 2:1

  CD = ?, CG = ?

  DA = y, GF = 4

So, the proportionality of the sides in these similar figures means ...

  y/4 = 10/5

  y = 4×10/5

  y = 8 . . . . multiply by 4

Answer:

Your answer is 6.4 kilograms :D

Step-by-step explanation:

Answer:

6.4 kilograms

Step-by-step explanation:

weight converter

9514 1404 393

Answer:

  a = 6, b = 12, c = 6, d = 6√3

Step-by-step explanation:

The two triangles are the "special" triangles.

The 45-45-90 triangle has side lengths in the ratios 1 : 1 : √2.

The 30-60-90 triangle has side lengths in the ratios 1 : √3 : 2.

Then ...

  c : a : 6√2 = 1 : 1 : √2   ⇒   c = a = 6

and ...

  a : d : b = 1 : √3 : 2   ⇒   d = 6√3 and b = 12 . . . (since a=6)

The lengths are ...

  a = 6, b = 12, c = 6, d = 6√3

Answer:

I have no idea

Step-by-step explanation:

Answer:

242

Step-by-step explanation:

A=bh

A=11x22

A=242 mm

Answer/Step-by-step explanation:

Recall the acronym SOHCAHTOA. This is what we would apply as appropriate in each case.

8. θ = 40°

Opp = m

Adj = 20

Thus, apply TOA

Tan (θ) = opp/adj

Plug in the values

Tan (40) = m/20 (equation)

20×Tan(40) = m

m = 16.7820

9. θ = 22°

Hyp = w

Adj = 18

Thus, apply CAH

Cos (θ) = adj/hyp

Plug in the values

Cos 22 = 18/w (equation)

w×cos 22 = 18

w = 18/(cos 22)

w = 19.4136

10. θ = 35°

Hyp = 55

Opp = x

Thus, apply SOH

Sin θ = opp/hyp

Plug in the values

Sin 35 = x/55 (equation)

55×sin 35 = x

x = 31.5467

11. θ = 33°

Hyp = 19

Adj = x

Thus, apply CAH

Cos θ = adj/hyp

Plug in the values

Cos 33 = x/19 (equation)

19×cos 33 = x

x = 15.9347

12. θ = 17°

Opp = 7

Hyp = x

Thus, apply SOH

Sin θ = opp/hyp

Plug in the values

Sin 17 = 7/x (equation)

x×sin 17 = 7

x = 7/(sin 17)

x = 23.9421

13. θ = 40°

Opp = 15

Adj = x

Thus, apply TOA

Tan θ = opp/adj

Plug in the values

Tan 40 = 15/x (equation)

x×Tan 40 = 15

x = 15/(Tan 40)

x = 17.8763

Answer:

61

Step-by-step explanation:

Answer:

IO

Step-by-step explanation:

9514 1404 393

Answer:

  y-intercept

Step-by-step explanation:

If the function is graphed as ...

  y = f(x)

then y = f(0) is the y-intercept.

_____

Additional comment

Depending on the way the graph is created and labeled, any points or curve on the graph may cross the vertical axis at a point other than one that corresponds to an input of 0. In any event, it may not be called "y". It may be "sales" or "board feet" or "monkeys per acre". Then the name of the point may not be "y-intercept", but may be something else.

The length of the unknown side x using the concept of similar triangles is: x = 4

Similar triangles are referred to as triangles that have the same shape but different sizes. All equilateral triangles and squares of any side length are examples of similar objects. In other words, if two triangles are similar, their corresponding angles are the same and their corresponding side proportions are the same.

Now, we are told that triangle PQR is similar to Triangle STU and as such their corresponding sides are similar and therefore to find the missing side x, we have:

12/x = 15/5

x = (12 * 5)/15

x = 60/15

x = 4

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The width of the rectangular painting painted by John is  24.15 inch.

For, the given question;

The perimeter of the rectangular painting painted by the John is 108.56 in.

The formula for the perimeter of the rectangle is;

Perimeter = 2(length + width)

Thus,

2(length + width) = 108.56

The rectangular painting is 5.97 in. taller than it is wide.

It means;

Length = 5.97 + width

Put the value in perimeter.

2(5.97 + width + width) = 108.56

11.94 + 4 width = 108.56

width = 24.155

width = 24.155 (decimal rounded to two decimal places)

Therefore, the width of the painting is 24.15 inch.

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x+2

Step-by-step explanation:

x+2

If x = –2 is a zero, then x + 2 = 0, so x + 2 is a factor. Similarly, if x = 1/3 is a zero, then x – 1/3 = 0, so x – 1/3 is a factor. By giving me two of the zeroes, they have also given me two factors: x + 2 and x – 1/3.

The perimeter is 21.66

The figure is something like the one that is in the image below:

We want to find the total perimeter of the polygon ABECD

This will be:

AB + BE + EC + CD + DA

Remember that for a triangle rectangle of catheti A and B, the area is given by:

A*B/2

We know that the sides of the triangle rectangle are:

BE, EC, BC.

Because BE = EC, these can not be the hypotenuse of the triangle, then the catheti are BE and EC

Knowing that the area of the triangle rectangle is 8, we can write:

EC*BE/2 = 8

and EC = BE = x

x^2/2 = 8

x^2 = 8*2 = 16

x = √16 = 4

Then the two catheti of the triangle rectangle are 4 units long.

EC = 4

BE = 4

and we know that:

AB = BE = EC

then:

AB = 4

and because this is a rectangle, we also have:

DC = AB = 4

now we want to find the last side of the figure, AD,

Which we already know is equal to the hypotenuse of the triangle.

Remember the Pythagorean's theorem, which says that the sum of the squares of the catheti is equal to the square of the hypotenuse.

Both catethus are equal to 4, then we have:

H^2 = 4^2 + 4^2 = 32

H = √32 = 5.66

then:

DA = 5.66

Now we have:

AB = BE = EC = DC = 4

DA = 5.66

Then the perimeter is:

AB + BE + EC + CD + DA

4 +  4 + 4 + 4+ 5.66 = 21.66

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The value of mathematical expression is,

⇒ 10 + 3P

Mathematical expression is defined as the collection or combination of the numbers, variables and functions by using operations like as addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 10 more than triple P.

Now, We can simplify mathematical expression as;

Triple P = 3P

Hence, We get the expression as;

⇒ 10 more than triple P.

⇒ 10 + 3 × P

⇒ 10 + 3P

Therefore, We get;

The value of mathematical expression is,

⇒ 10 + 3P

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(a) The rate of change of the brightness after t days is dB/dt = (2π/4.4) * 0.45 * cos(2πt/4.4).

(b) The rate of increase after one day is  0.22 radians/day.

For the given case the equation for the brightness of cepheid joe is  B(t)=4.2 +0.45sin(2pit/4.4). This equation tells us that the brightness of the star is determined by the sine of the time multiplied by a constant. Since the sine of a number is always changing, the brightness of the star is always changing too.

Therefore, the rate of change of the brightness is given by the derivative of the equation, which is   2π/4.4)*0.45*cos(2πt/4.4), when t is  1 day, we can plug this value into the equation to get the rate of increase after one day, which is dB/dt = (2π/4.4) * 0.45 * cos(2π/4.4) = 0.22 radians/day.

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Answer:

The stock is now worth $247.17.

Explanation:

The initial worth of the stock = $200

If the price goes up 10% on Monday:

If the price goes up 5% on Tuesday:

If the price goes up 7% on Wednesday:

The stock is now worth $247.17.

The potential roots of the function p(x) = x² - 9x² - 4x + 12 are x = 1, -1.5, and 12.

Degree of a polynomial is the highest power of the variable in that polynomial. For example, in a cubic polynomial, the variable [\(\bold{x}\)] has the highest power of 3.

Given is the following function with degree of 2 as -

We will plot the graph and find the roots of this function. The number of x - intercepts [coordinates where the graph cuts the x axis] will give us the roots or zeroes of the polynomials. Refer to the graph attached, it shows that the graph intercepts the x - axis at three different coordinates which are → x = 1, x = -1.5, and x = 12. Hence, these three values of [x] are the potential roots of the function p(x) = x² - 9x² - 4x + 12.

Therefore, the potential roots of the function p(x) = x² - 9x² - 4x + 12 are x = 1, -1.5, and 12.

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The potential roots of the given polynomial equation are +4 and -3. These roots are found by factoring the equation, setting each factor equal to zero and solving for x.

To find the potential roots of the polynomial equation p(x) = x² - 9x - 12, we can set the equation to zero and solve for x: 0 = x² - 9x - 12.

Next, we look for the factors of 12 which when multiplied would give you -12 and when subtracted would give you 9. There we have -4 and +3. Therefore the factors of the equation are (x - 4)(x + 3) = 0.

So, Final answer:

The potential roots of the given polynomial equation are +4 and -3. These roots are found by factoring the equation, setting each factor equal to zero and solving for x.

To find the potential roots of the polynomial equation p(x) = x² - 9x - 12, we can set the equation to zero and solve for x:

0 = x² - 9x - 12.

Next, we look for the factors of 12 which when multiplied would give you -12 and when subtracted would give you 9. There we have -4 and +3. Therefore the factors of the equation are (x - 4)(x + 3) = 0.

So, potential roots of the equation are x = 4 and x = -3 if we set each factor equal to zero and solve for x. This means that from the given options, the potential roots to the equation would be +4 and -3 (though -3 is not mentioned). of the equation are x = 4 and x = -3 if we set each factor equal to zero and solve for x. This means that from the given options, the potential roots to the equation would be +4 and -3 (though -3 is not mentioned).

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A: There are 33,216 possible passwords. The probability of having a 5 character password ending in 0 is 2.7%. The probability of having an all digit password is 0.16%.

The total number of possible passwords can be calculated by multiplying the number of options for each character. There are 26 uppercase letters and 10 digits, so for a 4 character password there are 26 x 26 x 10 x 10 = 67,600 possible combinations. For a 5 character password there are 26 x 26 x 10 x 10 x 10 = 336,960 combinations. Therefore, there are 33,216 possible passwords if the password must be 4-5 characters long and contain at least one digit. The probability of having a password which is 5 characters long and ends in a zero is 2.7%. This is calculated by dividing the number of possible passwords that end in 0 (1,680) by the total number of possible passwords (33,216). The probability of having an all digit password is 0.16%. This is calculated by dividing the number of possible all digit passwords (5,120) by the total number of possible passwords (33,216).

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Answer:

x^2-5x+6=0

By splitting the middle term

x^2-3x-2x+6=0

x(x-3)-2(x-3)=0

(x-2)(x-3)=0

so, roots are x=2or3.

Hope this helps uhh!!!

\(\huge\text{Hey there!}\)

\(\mathsf{x^2 - 5x + 6 = 0}\\\\\large\text{FACTOR the LEFT SIDE of THE EQUATION}\\\\\mathsf{(x - 2)(x - 3) = 0}\\\\\large\text{SET the FACTORS to EQUAL to 0}\\\\\mathsf{x - 2 = 0\ or\ x - 3 = 0}\\\\\large\text{SIMPLIFY IT!}\\\\\mathsf{x = 2\ or\ x = 3}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 2\ or\ x = 3}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Aircraft A has 312 seats.

Let's assume that Aircraft B has x seats.

According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.

The total number of seats in both aircraft is 519, which can be represented by the equation:

x + (x + 105) = 519

Simplifying this equation, we have:

2x + 105 = 519

Subtracting 105 from both sides, we get:

2x = 414

Dividing both sides by 2, we find:

x = 207

Therefore, Aircraft B has 207 seats.

To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:

Aircraft A = 207 + 105 = 312

Hence, Aircraft A has 312 seats.

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Step-by-step explanation:

\( \frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4} \)

\( \frac{3}{4} 36 = 27\)

The value of the expression a(b + c) when a = 2, b = 3, and c = 4 is 14.

Given the expression in the question:

a( b + c )

Also, a = 2, b = 3, and c = 4

To evaluate the expression a( b + c ) when a = 2, b = 3, and c = 4, we substitute these values into the expression:

Hence:

a( b + c )

Plug in a = 2, b = 3, and c = 4

2( 3 + 4 )

First, we simplify the parentheses by adding 3 and 4:

2( 7 )

Next, we multiply 2 and 7:

14

Therefore, the value of a(b + c) is 14 .

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Answer:

w=4

Step-by-step explanation:

28=14w-7w whenever you work it out it equals w=4... happy to help :)

Answer:

w = 4

Step-by-step explanation:

Rewrite the equation as 14w - 7w = 28

Now subtract 7w from 14w

7w = 28

Divide

7w/7 = 28/7

28/7 = 4 > w = 4

Given the interval

Explanation

Part A

The left-hand parenthesis indicates that -4 is inclusive in the interval, while the right-hand parenthesis indicates that three is excluded from the interval.

Answer

Part B

The number line can be seen below.

Answer

The polygon does not belong to the group as it is created by a finite number of line segments and the concept of the radius of curvature is not applicable.

In this problem we have three shapes related to circle-like and ellipse-like arcs (circle, semicircle, ellipse) and a regular polygon.

Circles are closed figures created by a arc whose radius of curvature is the same at every point and ellipses are closed figures created  by a arc whose radius of curvature varies in the following interval: a ≤ r ≤ b, where a, b are the lengths of the semiaxes.

Polygons are closed figures created by a finite number of line segments and therefore the concept of radius of curvature is not applicable.

Therefore, the polygon does not belong to the group as it is created by a finite number of line segments and the concept of the radius of curvature is not applicable.

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Answer:

1 solution

Step-by-step explanation:

\(y = - 3 \\ y = - x - 4 \\ = > - 3 = - x - 4 \\ = > - x - 4 + 3 = 0 \\ = > - x - 1 = 0 \\ = > - x = 1 \\ = > x = - 1\)

Answer:

the answer is 2

Step-by-step explanation:

just plug in the 3 for x and perform the neccessary calculation.

Answer:

2

Step-by-step explanation:

if x is 2 that means 2 + 3 = 5

Give me brainllest Plz

Therefore , coordinate problem solution is A) 3140 pulses per minute , B) 2915 beats per minute , C) heartbeat of 2915 beats per minute (D) or 2915.5 beats per minute .

When locating points or other mathematical objects precisely on a region, such as Euclidean space, a coordinate system is a technique that uses one or more numbers or coordinates. Locating a point or item on a the double plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y vectors are used to define a point's location on a 2D plane. a collection of numbers that indicate specific locations.

Here,

The slope method can be used to calculate the patient's heart rhythm after 42 minutes that use the secant line connecting the points with the specified values of t:

Heartbeat change / time change is the trend.

The heart rate can then be estimated using this slope value along with the number for heartbeats at t = 42 minutes.

A)Using coordinates 36, 2510, and 42, 2915 as examples:

Cardiac rate at 42 minutes = 2510 + (42 - 36) * 75 = 3140 Slope = (2915 - 2510) / (42 - 36) = 75

b) Using coordinates (38, 2647) and (42, 2915), respectively:

Cardiac rate at 42 minutes = 2647 + (42 - 38) * 67 = 2915 Slope = (2915 - 2647) / (42 - 38) = 67

c) Applying the values (40, 2784) and (42, 2915):

Heart rate at 42 minutes = 2784 + (42 - 40) * 65.5 = 2915.5 Slope = (2915 - 2784) / (42 - 40) = 65.5

Using coordinates (42, 2915), and (44, 3048), respectively:

Cardiac rate at 42 minutes = 2915 + (42 - 42) * 66.5 = 2915 Slope: (3048 - 2915) / (44 - 42) = 66.5

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Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

Answer: 120

Step-by-step explanation:

              Ratio      Quantity

Boys:        5           80 + x                  

Girls:         3              x

                 \(\dfrac{5}{3}=\dfrac{80+x}{x}\\\\\\5x=3(80+x)\\\\5x=240+3x\\\\2x=240\\\\x=120\)