fair coin is tossed 3 times in a row. What is the probability that heads appears on only the last toss?

Answer:

n = y/(r+s)

Step-by-step explanation:

(rn+sn) / y = 1

Multiply each side by y

(rn+sn) / y  *y= 1*y

rn+sn = y

Factor out n

n(r+s) = y

Divide each side by (r+s)

n(r+s) / (r+s) = y/(r+s)

n = y/(r+s)

Answer:

3) x=4      4)x = 9     5) x=5

Step-by-step explanation:

3) first you have to find the inside of the angle. A straight line = 180*

180-(19x+3) = 177-19x

Than you add all the angles up to equal 180.

(177 - 19x) + (11x-2) + (9x+1) = 180

if you simplify this x = 4. You can check your answer by subbing in for x.

4)first you have to find the inside of the angle. A straight line = 180*

180- (17x-23) = 203-17x

Than add the sides up to equal 180. keep in mind there are 2 of the same angles.

(203-17x)+(7x+2)(2) = 180

Simplify

x=9

5) 180-151=29* this is the inner angle.

(11x-1)+(20x-3)+29=180

31x+25=180

x=5

The dog's resultant displacement vector, representing the total distance covered in the specified direction, is approximately 9.74 meters. This was calculated by breaking down each of the dog's movements into their Cartesian components, adding these components separately, and finally applying the Pythagorean theorem to find the magnitude of the resultant vector.

To solve this problem, we first need to calculate each displacement in the rectangular (or Cartesian) coordinate system. Let's express each move of the dog as a vector.

First, the dog walks 3.5 m southeast. In the Cartesian coordinate system, this would be represented as two components: x (horizontal) and y (vertical). The x-component is 3.5*cos(45°) = 2.475 m and the y component is -3.5*sin(45°) = -2.475 m (negative because direction is south).

Second, the dog walks 8.2 m at an angle 30 degrees north of east. That gives us an x-component of 8.2*cos(30°) = 7.1 m and a y-component of 8.2*sin(30°) = 4.1 m.

Now add up separate x- and y-components: Our cumulative x-component is 2.475 m + 7.1 m = 9.575 m. The cumulative y-component is -2.475 m + 4.1 m = 1.625 m.

The resultant vector's magnitude can be determined with the Pythagorean theorem a² + b² = c² (where 'a' and 'b' are the legs and 'c' is the resultant vector). In this case: (9.575 m)² + (1.625 m)² = c². Solve for c to get

In conclusion, the magnitude of the dog's resultant vector is approximately 9.74 m.

https://brainly.com/question/33433863

#SPJ12

Answer:

djdmdm nendkkxdekenebrnnr

Answer:

10.

Step-by-step explanation:

Answer:

10

Step-by-step explanation: I GOT IT RIGHT BOIIIII

Answer:

28

Step-by-step explanation:

10 - (-18) = x

10+18 = x (two negatives make a positive)

28 = x

The result of the given algebraic statement is 28.

The statement "the difference of 10 and -18" can be translated into an algebraic expression as follows:

10 - (-18)

To simplify this expression, we can simplify the double negative to have a positive sign as shown:

10 - (-18) = 10 + 18

Adding the numbers, we get:

10 - (-18) = 28

Therefore, the algebraic expression simplifies to 28.

Learn more on algebraic expressions here: https://brainly.com/question/4344214

#SPJ2

Answer:

B

Step-by-step explanation:

Rational number - a number that can be written in a fraction (-1/3, 4, 7.635)

Natural number - a number that is greater than 0 and is an integer (1, 2, 3, 4, 5)

Whole number - a number that is greater or equal to 0 and is an integer (e.g. 0, 1, 2, 3, 4, 5)

Integer - a number that can be written in a fraction and has a denominator of 1 (e.g. -364, 0, 1, 84, 2347)

Answer:

are are 5 chocolate in each bag

Step-by-step explanation:

Answer:

Choice B

Almonds Grams: 0, 40, 80, 120, 160

Chocolate Grams: 0, 30, 60, 90, 120

Step-by-step explanation:

What I did was I kept multiplying by 2.

If that is too difficult just continue adding 30 or 40.

Three types of taxes local governments may impose are Sales Tax , Personal Property  and Real Property. Correct answer: A, B and C.

 A sales tax is a consumption tax imposed by the government on the sale of goods and services. Personal property tax is levied annually against tangible personal property and due upon receipt of the tax bill.

Answer:

property tax

Step-by-step explanation:

:3

Answer:

20 % of the original price

Step-by-step explanation:

1). 50 - 40 = 10 $

2). 10 / 50 = 20 %

Answer:

$9

Step-by-step explanation:

Since he got $27 for moving 3 lawns, you simply divide $27 by 3 to find out how much he earned per lawn. 27 / 3 = 9.

Answer:

27/3=9 so 9 dollars per lawn

Step-by-step explanation:

Answer: C. (25,10)

Step-by-step explanation:

Answer:

I believe its A. I'm not so sure thought so if its a test don't put it unless you are sure.

Step-by-step explanation:

Answer & Explanation Included:

f(x)= 2x - 4

f(5)= 2(5) - 4

f(5)= 10 - 4

f(5)= 6

Answer: 16

Step-by-step explanation: f(x) = 2x - 4 means that if we put an x into our function, a 2x - 4 comes out.

So if we want to find f(5), we're putting a 5 into our function which means that a 2(5) - 4 comes out which simplifies to 10 - 4 or 6.

So f(5) = 6 or the value of the function at 5 equals 6.

Answer:

4 1/2

Step-by-step explanation:

3/4 =0.75

0.75*6 =4.5

4.5=4 1/2

Answer:

4 1/2 Hours is the amount she worked out

Step-by-step explanation:

3/4 = 45 min

45 x 6 = 270 min

270 ÷ 60 = 4.5 Hours

4.5 Hrs + 4 Hours 30 Min = 4 1/2

Answer:

The answer would be B- 0.953. I hope this helps you

Answer: b

Step-by-step explanation:

The probability of randomly selecting a red shirt from a basket of 24 T-shirts, where 12 are red, is 1/2 or 50%.

The probability of randomly selecting a red shirt from the laundry basket can be calculated by dividing the number of red shirts by the total number of shirts in the basket. Given there are 24 T-shirts in total and 12 are red, the probability P(red) is 12 divided by 24, which can be simplified.

Here is the calculation:

After simplifying, P(red) = 1/2 or 50%.

Answer:

Surface area:

The area on the surface of a shape, so the area of the faces of the square or the area of the faces of the triangle.

(how to solve: find the area of all faces(b*h) and add them up)

Volume: the amount you can fill in that specific shape? Like, filling up a bathtub, how much water can it hold? That's volume.

(how to solve: its different for each shape, but squares are (B*W*H = Volume or V))

-A friendly 8th grader :)

Answer:

Should be $160

Answer:

148ft

Step-by-step explanation:

To solve this question, you'll have to imagine the statue makes a right angle triangle with the base since it has an angle of elevation from the base to the top of the torch.

Assuming the height from the pedestal to the top of the torch is y

The height of the statue is x

But we know the height of the pedestal = 150ft

The distance from the observer to the base of the pedestal = 250ft

And the angle of elevation = 50°

See attached document for better illustration.

Tanθ = opposite / adjacent

θ = 50°

Adjacent = 250

Opposite = y

Tan50 = t / 250

y = 50 × tan50

y = 50 × tan50

y = 50 × 1.1917

y = 297.925ft

The height of the statue from the base of the pedestal to the top of the torch is 297.925ft

The height of the statue = x

x = (height of the statue + height of the pedestal) - height of the pedestal

x = y - 150

x = 297.925 - 150

x = 147.925ft

Approximately 148ft

The height of the statue is 148ft

Answer: 8%.

Step-by-step explanation:

To find this answer, use the compounding interest rate formula, or an exponential function:

[tex]A = P(r)^t[/tex]

Where A is the amount of money after t years, using P (principal) dollars as the investment and r as the rate.

We are trying to solve for r, so substitute the correct values for the other three variables:

[tex]7000 = 3500(r)^9\\\\2 = r^9[/tex]

Solving for r, we find that r to the ninth power equals 2.

Simplifying this, r is equal to 2^(1/9), or 1.08~. The interest rate was 8 percent.

To find the interest rate, we can use the formula for compound interest compounded continuously and solve for the interest rate using logarithms. The interest rate used is approximately 7.76%.

To find the interest rate, we can use the formula for compound interest compounded continuously: A = P * e^(rt), where A is the final amount, P is the principal amount, e is Euler's number (approximately 2.71828), r is the interest rate, and t is the time in years. In this case, we have A = 2P, P = $3500, and t = 9 years. Plugging in these values, we get 2P = P * e^(9r), which simplifies to 2 = e^(9r). Taking the natural logarithm of both sides, we get ln(2) = 9r.

Now, we can solve for r by dividing both sides of the equation by 9: r = ln(2) / 9. Using a calculator, we find that r is approximately 0.0776. Therefore, the interest rate used is approximately 7.76%.

https://brainly.com/question/36744565

#SPJ3

Answer:

If the question is asking you to simplify, here is the simplified equation:

-6s+34

Step-by-step explanation:

Distribute the 2 and 4:

6s+10+24-12s

Simplify:

-6s+34

Answer:

3/6, 2/5, 0/5

Step-by-step explanation:

Answer:

1 kvolt = 1 volt =1kv = 1000v

so 1000x 1 volt = 1000kv

The numebr would be the 4th number from end.

Step-by-step explanation:

Answer:

The perimeter of the original octagon is:

The perimeter of the new octagon is:

Step-by-step explanation:

When it is mentioned that an octagon is regular, it means that all its sides are equal, therefore, each side of the original octagon has a length of 9 units, considering the formula of the octagon's perimeter:

By replacing you get:

For the new octagon, it is mentioned that each side increases by 27 units, therefore:

Applying the formula of perimeter of an octagon with the new values we obtain:

Final answer:

The perimeter of the original octagon is 72 units, while the perimeter of the new octagon is 288 units.

Explanation:

An octagon is a polygon with eight sides. Since each side of the regular octagon has a length of 9 units, the perimeter of the original octagon is 8 times the length of one side, which is 8 x 9 units = 72 units.

When each side of the octagon is increased by 27 units, the new length of each side becomes 9 + 27 units = 36 units. Therefore, the perimeter of the new octagon is 8 times the length of one side, which is 8 x 36 units = 288 units.

Answer: 1/6

Step-by-step explanation:

3x = 18y

y = kx

where,

k = constant of proportionality

3x = 18y

Divide both side by 18

3x/18 = 18y/18

y = 1/6x

k = 1/6

We have been given graph of a limacon curve. We are asked to choose the equation that represents the given Limacon.

We can see that our given equation represents a cardiod. The equation of a vertical cardiod is in form [tex]r=a\pm a\cdot \text{sin}(\theta)[/tex] and equation of a horizontal cardiod is [tex]r=a\pm a\cdot \text{cos}(\theta)[/tex].

We can see that our given graph is a vertical cardiod, so its equation will be in form [tex]r=a\pm a\cdot \text{sin}(\theta)[/tex] .

The positive sign gives an upside-down cardiod and negative sign orients the cardiod upright.

Since our given graph is upright, so we will have a negative sign between 'a'.

Therefore, the equation [tex]r=2-2\cdot \text{sin}(\theta)[/tex] represents the given graph and option 'd' is the correct choice.

Answer:

C on edge 2022

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Take 20 and subtract 4.50. That leaves you with 15.5.

15.5 divided by 1.75 equals 8.

Hopes this helps! :)

Answer:

27

Step-by-step explanation:

easy                   27 divided by 30

In order to find how many correct questions Jared answered, we'll need to find 90% of 30.

To find 90% of 30, we'll need to multiply.

90% x 30 = 27

Therefore, Jared answered 27 questions correctly.

Hope this helps! :)