A coin is flipped two times and the number of heads is counted. Which of the following is a valid assignment
of probabilities for the number of heads observed in two flips?
8.
Number of heads
Probability
0
1/10
1
5/10
2
4/10
b.
Number of heads
0
1
2
Probability
1/4
2/4
1/4
C.
0
1
Number of heads
Probability
2
1/3
1/3
1/3
d. All answer options are correct

Answer:  [tex](x-9)^2 + (y-12)^2 = 225\\\\[/tex]

This is the same as writing (x-9)^2 + (x-12)^2 = 225

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Explanation:

Any circle equation fits the template of [tex](x-h)^2 + (y-k)^2 = r^2\\\\[/tex]

The center is (9,12) which tells us the values of h and k in that exact order.

h = 9

k = 12

To find the radius r, we need to find the distance from the center (9,12) to a point on the circle. The only point we know on the circle is the origin (0,0).

Apply the distance formula to find the distance from (9,12) to (0,0)

[tex]d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (9-0)^2+(12-0)^2}\\\\d = \sqrt{ (9)^2+(12)^2}\\\\d = \sqrt{ 81+144}\\\\d = \sqrt{ 225}\\\\d = 15\\\\[/tex]

The distance from (9,12) to (0,0) is 15 units. Therefore, r = 15

An alternative to finding this r value is to apply the pythagorean theorem. The distance formula is effectively a modified version of the pythagorean theorem.

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

Since h = 9, k = 12 and r = 15, we can then say:

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-9)^2 + (y-12)^2 = 15^2\\\\(x-9)^2 + (y-12)^2 = 225\\\\[/tex]

which is the equation of this circle.

Line 1-Line 2-Associative property .

Line 2-Line 3- Distributive property

Solution:-

[tex]\\ \rm\longmapsto (9+x)x[/tex]

[tex]\\ \rm\longmapsto x(x+9)[/tex]

[tex]\\ \rm\longmapsto x(9+x)[/tex]

[tex]\\ \rm\longmapsto x^2+9[/tex]

Answer:

That’s simple 10

Step-by-step explanation

Let me know if I’m correct

hope this helps

Answer:

f(x) | 5 | - 1 | - 3 | - 1 | 5 |

Step-by-step explanation:

So first you'll say "-2" into function

Replace x with negative 2

f(x) =2(-2) ^2 - 3

8 - 3 = 5

Secondly place "- 1" into function

Replace x with negative 1

f(x) = 2(-1)^2 - 3

2 - 3 = - 1

Thirdly place "0" into function

Replace x with 0

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

0 - 3 = - 3

Then place "1" into function

Replace x with 1

f(x) = 2(1)^2 - 3

2 - 3 = - 1

Lastly place "2" into function

Replace x with 2

f(x) = 2(2)^2 - 3

8 - 3 = 5

{ hope this helps}

Using function concepts, it is found that the degree of the function is: 4, option C.

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A similar problem is given at https://brainly.com/question/10539060

Step-by-step explanation:

your answer

Answer:

y = 68

A = 44

Step-by-step explanation:

No matter what may be true, that doesn't look like an a to me.

x = y = 68                x and y are opposite equal sides and are therefore =.

68 + 68 + A = 180  all triangles are 180 degrees.

136 + A = 180          Subtract 136 from both sides

A = 180 - 136

A = 44

Answer:

10.8

Step-by-step explanation:

3 3/5 divided by 1/6

(3(3/5))/(1/6)

(9/5)/(1/6)

54/5

10(4/5)

10.8

Answer:

a = 6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 8^2 = 10 ^2

a^2 +64 = 100

a^2 = 100 -64

a^2 = 36

Take the square root of each side

sqrt(a^2) = sqrt(36)

a = 6

5 students offers all the two subjects.

Student that offers Physic only = 15 students

Student that offers chemistry only  = 13 students

Students that offers only one subject = 28 students

Total student in the class = 35

20 offer physics.

18 offer chemistry

2 offer neither physics nor chemistry.

Therefore,

x = student that offer both subject

35 = 20 + 18 - x + 2

35 - 2 - 20 - 18 = -x

-5 = -x

x = 5

Therefore, 5 students offers all the two subjects.

Student that offers Physic only = 20 - 5 = 15

Student that offers chemistry only = 18 - 5 = 13

Students that offers only one subject = 13 + 15 = 28

learn more on Venn diagram here: https://brainly.com/question/27808502

#SPJ1

Answer:

B

Step-by-step explanation:

(7×2)⁶

when we put a number to the power of something, we need to include the whole number. bit just a part of it.

so, it must be 7⁶×2⁶

just think about the simple example 6², which we could write as (2×3)².

would it be sufficient to e.g. square only one of the factors ?

6² = 36

but e.g. 2×3² = 18. so, that's really not it.

or add the two factors and then square them ?

2+3 = 5. 5² = 25. so, that's not it either.

or multiply the exponent in ?

2×3×2 = 12. so that's not it either.

no, it truly is you need to do the operation to all parts.

2²×3² = 4×9 = 36. yes, that fits.

therefore, B is the right answer.

Answer:

7-15= -8

Step-by-step explanation:

Answer:

x ≠ -4, -1, 3

Step-by-step explanation:

12/(x^2+5x+4) = 8x/(5x-15)

12/((x+1)(x+4)) = 8x/(5(x-3))

division by zero is undefined

There are 3 answers to your question. x= -1 x= 3 x= -4

Answer:

The product of any rational number and any irrational number will always be an irrational number.

Step-by-step explanation:

Answer:

-29

Step-by-step explanation:

(-14) + (-15) =

-14 - 15 =

-29

Answer:

VW = 6

Step-by-step explanation:

To find x, set up the following equation:

(5x - 4) + (2x) = 5x

Solve out left side

7x - 4 = 5x

Subtract 5x from both sides

2x - 4 = 0

Add 4 to both sides

2x = 4

Divide both sides by 2

x = 2

Plug into 5x - 4

5(2) - 4

10 - 4

6

Answer:

6

Step-by-step explanation:

5x - 4 + 2x = 5x

7x - 4 = 5x

-4 = -2x

2 = x

5(2) - 4

10 - 4

6

Answer:

[tex]y=-3x+8[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y = 4 - 3x\\y = -3x+4[/tex]

Given this equation, we can identify the slope to be -3 since it's in the place of m in [tex]y=mx+b[/tex].

Because parallel lines have the same slope, -3 is therefore the slope of the line we're currently solving for. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-3x+b[/tex]

Plug in the given point (1,5) and solve for b:

[tex]5=-3(1)+b\\5=-3+b\\8=b[/tex]

Therefore, the y-intercept is 8. Plug this back into [tex]y=-3x+b[/tex]:

[tex]y=-3x+8[/tex]

I hope this helps!

Answer:

take a light bulb and a potato and some wires connect together will give light

Answer:

i have attached a pic of an idea that might help you

:)

Answer:

2x + 2y - 4

Step-by-step explanation:

The opposite sides are congruent so perimeter (P) is

P = 2(x + 2) + 2(y - 4)

  = 2x + 4 + 2y - 8

  = 2x + 2y - 4

Answer:

19,86%

Step-by-step explanation:

[tex] \frac{28}{141} = 0.198582[/tex]

➡️ [tex]0.1986[/tex]

➡️ [tex]0.1986 \times \frac{100}{100} [/tex]

➡️ [tex] \frac{0.1986 \times 100}{100} [/tex]

➡️ [tex] \frac{19.86}{100} [/tex]

➡️ [tex] = 19.86\%[/tex] ✅

This is college? Woah I'm not advanced. Middle school!

[tex]6\cdot\square=9\\\\\square=9:6\\\\\square=\frac{9}{6}\rightarrow\square=\frac{3}{2} \ (\text{devide 9 and 6 by 3})[/tex]

My answer is in the picture

Answer:

6 ft

Step-by-step explanation:

9514 1404 393

Answer:

  25 ft

Step-by-step explanation:

The volume is given by the formula ...

  V = LWD . . . . . the product of length, width, depth

Solving for L, we have ...

  L = V/(WD) = (1700 ft³)/((17 ft)(4 ft)) = 100/4 ft = 25 ft

The length of the pool is 25 ft.

hope you do not mind expressing this on in English ‍♂️

Answer: sorry I wasn’t able to tell u the exact number but check out this link it should help u

Step-by-step explanation:

https://www.wyzant.com/match