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3/8 = 0.375 = 37.5%

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Explanation:

Start at the very left hand side of the diagram. Also, start at the top as well. So you'll start at "heads". Trace along the top most path and you'll get "heads, heads, heads". This says we got 3 heads in a row. But we want a case where heads only comes up exactly twice. So we rule out this scenario.

Go back to the first "heads". Now trace along the top, but don't land on that third "heads". Instead, go to the "tails" that is underneath in that last column. So you'll have "heads, heads, tails". This time we got exactly two heads out of three tosses. Off to the side somewhere, make a tally of how many times this scenario happens. Another time it happens is when we get "heads, tails, heads". Another time is when you get "tails, heads, heads".

There are only three situations where we get exactly two heads out of three tosses. This is equivalent to the event "getting exactly one tail", so that might be an easier scenario to track down.

If you traced out all of the possible paths, you would find that there are 8 different paths. Note how 2^3 = 2*2*2 = 8 is a numerical way to compute this, due to the fact that each coin toss has 2 outcomes and we have three tosses total.

Since we have three outcomes where we got exactly two heads, out of 8 outcomes total, this leads to the answer being 3/8

Side note: 3/8 = 0.375 = 37.5%

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We could also solve this problem by listing out all the possible scenarios. I'll use H for heads and T for tails. Something like HHT means we got heads twice in a row, then tails later. The order matters.

Listed below are the 8 possible outcomes. The items in bold represent situations where we get exactly two heads, which is the same as getting exactly one tail.

The order of each of those eight items is the same as the order if you were to trace out the possible paths of the table given (starting at the top and moving down). We can see that there are 3 cases where we get exactly two 'H's out of 8 possible outcomes total. So that's another way to arrive at 3/8

Answer:

The answer is 5 1/4

It’s simple if you need more help just ask

Answer:

This is not really clear, I will assume that the values in the question are:

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

For a set of N elements, {x₁, x₂, ..., xₙ}

The mean of the set is given by:

[tex]Mean = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

In the case of our set, {0, 1, 0, 2, 3, 2, 3, 4}, we have 8 values.

Then the mean of our set is:

[tex]Mean = \frac{0 + 1 + 0 + 2+ 3 + 2 + 3 + 4}{8} = \frac{15}{8} = 1.875[/tex]

Answer:

153.94

Step-by-step explanation:

Find the area of the sector:

A = (1/4)(14^2π)

A = (1/4)(196π)

A = 49π

A ≈ 153.94

Answer:

-23/6=y

Step-by-step explanation:

3x-6y=11

3*-4-6y=11

-12-6y=11

y=-23/6

Answer:

3.7 is the right answer

Step-by-step explanation:

Answer:

3.7

Step-by-step explanation:

Answer:

B. 140 degrees

Step-by-step explanation:

Edge 2020

Answer:

A=318

Step-by-step explanation:

A= a+b/2h=24+29/2.12=318

Answer:

3x² + 7x + 6

Step-by-step explanation:

Big Rectangle:

A = bh

A = (x + 3)(x + 2)

A = x² + 2x + 3x + 6

A = x² + 5x + 6

Small rectangle:

A = bh

A = (x + 1)(2x)

A = 2x² + 2x

Combined:

x² + 5x + 6 + 2x² + 2x

3x² + 7x + 6

Answer: 6

Step-by-step explanation:

Firstly, it should be noted that the diameter of a circle is twice its radius. In this case, the diameter of the circle will be:

Diameter = Radius × 2

Diameter = 16 × 2 = 32 inches

Therefore, to solve for x goes thus:

6x - 4 = 32

6x = 32 + 4

6x = 36

x = 36/6

x = 6

Answer:

Step-by-step explanation:

Part A

Given equation of the circle is,

x² + y² - 4x + 2y = b

Standard equation of the circle is given by,

(x - h)² + (y - k)² = r²

Here, (h, k) is the center and r = radius of the circle

Now we will convert this equation into a standard equation of the circle,

x² - 4x + y² + 2y = b

x² - 2(2x) + 2² + y² + 2y + 1² = b + 2² + 1²

(x² - 2(2x) + 4) + (y² + 2y + 1) = b + 4 + 1

(x - 2)² + (y + 1)² = √(b + 5)²

Therefore, (2, -1) will be the center of the given circle.

y-coordinate of the circle = -1

Part B

Since, radius of the circle is 7 units,

Therefore, [tex]\sqrt{b+5}=7[/tex]

b + 5 = 49

b = 49 - 5

b = 44

Answer:

C

Step-by-step explanation:

9514 1404 393

Answer:

  linear

Step-by-step explanation:

We notice that adjacent x-values all differ by 1.

Similarly, we notice that all y-values differ by 0.5. When differences are constant, the function is linear.

Answer:

solution given:

the Surface Area SA=2lw+2lh+2hw

Length = 4 cm

Height = 3 cm

Width = 2cm

we have

the Surface Area SA=2lw+2lh+2hw=2×4×2+2×4×3+2×3×2=52cm²

its

C. 52cm squared

Answer:

81

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: Rational

Explanation:

Any number that can be written as a fraction or mixed number is rational.

57.63004 can be written as [tex]57\frac{63004}{100000}[/tex] , therefore it is rational.

Answer:

75 sq units

Step-by-step explanation:

A = lw

l = OP = distance between (9, 6) and (0, -6)

          = [tex]\sqrt{(9 - 0)^{2} + (6 + 6)^{2} }[/tex]

         = [tex]\sqrt{81 + 144)} = \sqrt{225} = 15[/tex]

w = MP =  distance between (-4, -3) and (0, -6)

            = [tex]\sqrt{(-4 - 0)^{2} + (-3 + 6)^{2} }[/tex]

            = [tex]\sqrt{16 + 9} = \sqrt{25} = 5[/tex]

A = 15(5) = 75 sq units

Answer:

slope= -3

Step-by-step explanation:

i hope this helps :)

Answer:

For any value of x, g(x) will always be greater than h(x)

g(x) > h(x) for x = -1

For positive values of x, g(x) > h(x).

For negative values of x, g(x) > h(x).

Answer:

Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.

g(x) > h(x) for x = -1.  

For positive values of x, g(x) > h(x).  

For negative values of x, g(x) > h(x).

Step-by-step explanation:

and for the lazy people its just C, E, F

Answer:

x = 28

Step-by-step explanation:

AB= AC

∠B = ∠C    {Angles opposite to equal sides are equal}

∠A + ∠B + ∠C = 180    {angle sum property}

3x + x + 20 + x + 20 = 180 {Combine like terms}

3x +x +x + 20 + 20 = 180

          5x + 40 = 180          {subtract 40 from both sides}

                   5x = 180 - 40

                  5x = 140      {divide both sides by 5}

                    x = 140/5

x = 28

Answer:

A linear function is when it goes up the same amount each time. The first one does because it increases by 2 each time, so A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Scale factor is:

Ratio of surface areas is:

Surface area will be 25 times smaller

Correct choice is D

We know the ratio of sides to area

So

If diameter is multiplied by 1/5

Surface are increases

25 times smaller

Answer:

300

Step-by-step explanation:

Add all outside values (height is irrelevant) to receive the perimeter

You get the answer of 300

Hope this helps

Answer:

B

Step-by-step explanation:

because there's one square on the bottom and four triangles on the sides