What is the probability of flipping a coin 12 times and getting heads 3 times? Round your answer to the nearest tenth of a percent. O A. 5.4% B. 12.5% O C. 12.1% D. 19.3% SUBMIT
Correct answer is A. 5.4%​

Answer:

10, 11, 12, 13, 14, 15, 16, 17, 18, 19

Step-by-step explanation:

A two-digit number can be written as:

a*10 + b

Where a and b are single-digit numbers.

a is the tens digit

b is the units digit.

the reverse number is:

b*10 + a

We know that:

"If you add the digits together and multiply the result by 10, you will get 9 more than the reverse number"

Then:

(a + b)*10 = b*10 + a + 9

We now need to solve this for a and b, where the other restriction that we have is that a and b can be any whole number of the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

Then:

(a + b)*10 = b*10 + a + 9

a*10 + b*10 = b*10 + a + 9

subtracting b*10 in both sides, we get:

a*10 = a + 9

solving this for a, we get:

a*10 - a = 9

a*(10 - 1) = 9

a*9 = 9

a = 9/9

a = 1

and notice that we do not have any restriction for b.  So b can be any number of the set.

for example, if b = 2

a*10 + b = 12

now let's test the property:

10*(1 + 2) = 2*10 + 1 + 9

30 = 20 + 10 = 30

now if b = 4, we have:

a*10 + b = 1*10 + 4 = 14

10*(1 + 4) = 4*10 + 1 + 9

50 = 50

So we can see that for any value of b, this will work.

So the only restriction that we have, is that a must be equal to 1.

Then the numbers are:

10, 11, 12, 13, 14, 15, 16, 17, 18, 19

The possible numbers are 10, 11, 12, 13, 14, 15, 16, 17, 18 and 19

Assume the digits of the two-digit number are x and y, where:

So, the original number (n) is:

[tex]n = 10 \times x + y[/tex]

When the digits are added, and multiplied by 10, we have the following equation:

[tex](x + y) \times 10 = 9 + (y \times 10 + x)[/tex]

Expand the equation

[tex]10x + 10y = 9 + (10y + x)[/tex]

Remove bracket

[tex]10x + 10y = 9 + 10y + x[/tex]

Subtract 10y from both sides

[tex]10x = 9 + x[/tex]

Subtract x from both sides

[tex]9x = 9[/tex]

Divide both sides by 9

[tex]x = 1[/tex]

Recall that the number is represented as:

[tex]n = 10 \times x + y[/tex]

So, we have:

[tex]n = 10 \times 1 + y[/tex]

[tex]n = 10 + y[/tex]

This means that, the possible numbers are from 10 to 19

Read more about two-digit numbers at:

https://brainly.com/question/23846183

Answer:

Ok to find the surface area of this cylinder first we need the circumference to find this we do C=πd

C=3.14*18

C=56.52

now we have to multiple this by the height of two

113.04

now we have to find the area of the bottom to do this we do A=πR^2

A=3.14*81

A=254.34

multiple this by two for the two sides we get

508.68

now we add this to 113.04 we get

621.72

since I used 3.14 instead of more digits of pie we can round this up so the answer is C.

Your Welcome

BIFFY OUT!!!

Answer:

3rd option

Step-by-step explanation:

Answer:

Its the third one because it has equal sides because the others are not.

Step-by-step explanation:

Answer:

4 squareroot 2

Step-by-step explanation:

The answer is 4 squareroot 2

Answer:

The volume would be 7.5 in3

Hope this helps!

Brainliest??

Answer:

the volume is 7.85in³

Step-by-step explanation:

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 1 1/2 in. and the height is 10 in. . ... Therefore, the volume of the cylinder is about 7.85 in³.

HAVE A GOOD DAY

Answer:

63 yd³

Step-by-step explanation:

V = lwh

V = 7 × 3 × 9

V = 189

Since the cubes are 1/3 yd³, you now multiply the volume of this figure which is if it were a 1 yd³.

189 × [tex]\frac{1}{3}[/tex]

63 yd³

Answer:

The correct options are:

3x - 4y = 15

15x - 20y = 75

(fourth option, counting fom the top)

5x + 6y = 20

-10x - 12y = -40

(last option)

Step-by-step explanation:

A system of linear equations has infinitely many solutions if and only if both equations define the same line.

Then we need to see which option describes twice the same line.

From the given options, the two with infinitely many solutions are:

3x - 4y = 15

15x - 20y = 75

How we check that? remember that we can multiply (or divide) both sides of an equation by the same number, and the equation remains unchanged.

So, if we take the first equation and multiply both sides by 5, we get:

5*(3x - 4y) = 5*15

15x - 20y = 75

Which is the same as the other equation, so both equations describe the same line.

The other system is the last one:

5x + 6y = 20

-10x - 12y = -40

If we take the first equation and multiply both sides by -2, we get:

-2*(5x + 6y) = -2*20

-10x - 12y = -40

So, again, both equations describe the same line.

Question isnt well formatted :

Answer:

1 : 6

Step-by-step explanation:

Given the question :

3x = 1/2y

3x = y/2

Multiply both sides by 2

3x * 2 = y/2 * 2

6x = y

This can be interpreted as :

y = 6 times the value of x

x = y/6

x : y

1 : 6

Answer:

y=1/2sin(1/2x)

Step-by-step explanation:

because i use my brain to count

Answer:

1/6

is the probability

ok

Answer:

108 cm²

Step-by-step explanation:

the surface area is the sum of all individual shapes areas on the surface.

2 right-angled triangles

3 rectangles

area of a right-angled triangle is At = a×b/2

At = 4×3/2 = 6 cm²

we need it twice : 12 cm²

one rectangle (length×width) = 8×3 = 24 cm²

one rectangle = 8×4 = 32 in²

one rectangle = 8×5 = 40 cm²

total surface area

A = 12+24+32+40 = 108 cm²

an area is always a square unit (power of 2).

a volume is always a cubic unit (power of 3).

and a length is always a simple unit (power of 1).

Answer: 2*3^2 = 18   3*5^2 = 75      75 + 18 = 93

Answer:

[tex]\frac{a^2^0b^5}{c^5d^3^0}[/tex]

Step-by-step explanation:

When one raises a value to an exponent, one can multiply the current value of the exponent by the number it is raised to. This is the case because raising a value to an exponent is another way of representing that value times itself the number of times that the exponent indicates. Remember, if no exponent is written, then the exponent is (1).

One can apply this here by multiplying every exponent in this problem by (5) since the fraction is raised to the power (5).

[tex](\frac{a^4b}{cd^6})^5[/tex]

[tex]=\frac{(a^4^*^5)(b^1^*^5)}{(c^1^*^5)(d^6^*^5)}[/tex]

Simplify,

[tex]=\frac{a^2^0b^5}{c^5d^3^0}[/tex]

Answer:

60–x (smaller )

Step-by-step explanation:

Sum of all 4 angles of a quadrilateral = 360°

(5x-30) + (3x + 60) + (60-x) +(4x+ 50) = 360°

(12x - x) + ( 170 - 30) = 360°

11x + 140 = 360°

11x = 360 - 140 = 220

x = 220/11 = 20°

Each angles is :

5x - 30 = 100 - 30 = 70°

3x+ 60 = 60 + 60 = 120°

60 - x = 60 - 20 = 40°

4x + 50 = 80 + 50 = 130°

Smallest of these angles is 40°

Answer: [tex]\dfrac{32}{3}[/tex]

Step-by-step explanation:

Given

The parabolas are [tex]x^2=2y[/tex] and [tex]y^2=16x[/tex]

Find the point of intersection of two parabolas

[tex]\Rightarrow \left(\dfrac{x^2}{2}\right)^2=16x\\\\\Rightarrow x^4=64x\\\Rightarrow x(x^3-64)=0\\\Rightarrow x=0,4[/tex]

Obtain y using x

[tex](x,y)\rightarrow (0,0)\ \text{and }(4,8)[/tex]

Area enclosed between the two is

[tex]\Rightarrow I=\int\limits^4_0 ({4\sqrt{x}-\dfrac{x^2}{2}}) \, dx\\\\\Rightarrow I=\left ( 4\times \dfrac{2}{3}x^{\frac{3}{2}}-\dfrac{x^3}{2\times 3} \right) _0^4\\\\\Rightarrow I=\left ( \dfrac{8}{3}\times 8-\dfrac{4^3}{6} \right )-0\\\\\Rightarrow I=\dfrac{128-64}{6}\\\\\Rightarrow I=\dfrac{64}{6}\\\\\Rightarrow I=\dfrac{32}{3}[/tex]

Thus, the area bounded by the two parabolas is  [tex]\dfrac{32}{3}[/tex] sq. units.

Answer:

Point estimate = 0.25

Step-by-step explanation:

Complete question

Calculate the point estimate

Solution

Let A represents the number of adult males who smoke cigarettes

Calculation of 95% confidence interval for proportion of adult males who smoke cigarettes

[tex]p-z_\alpha \frac{p(1-p)}{n}[/tex] , [tex]p+z_\alpha \frac{p(1-p)}{n}[/tex]

[tex]p-z_\alpha \frac{p(1-p)}{n} = 0.22\\p+z_\alpha \frac{p(1-p)}{n} = 0.28[/tex]

Point estimate

Adding the above given equations we get -

2 * p = 0.50

p = 0.25

Step-by-step explanation:

→ P = 2L + 2W

→ P = 2(L + W)

→ P ÷ 2 = L + W

→ (P ÷ 2) - W = L

We can use this formula to to calculate the length.

Answer:

SinA=5/1 3 CosA=12/13 tanA=5/12. SinC=12/13 CosC=5/13 and tanC=12/5

Step-by-step explanation:

Basically find the third side by Pythagorean theorem which would get you 13. So 13 is the hypotenuse. Remember these 3 formulas. Sin=Opposite/Hypotenuse Cos=Adjacent/hypotenuse and Tan=opposite/Adjacent. So for Sin a the opposite side to angle A is 5. The hypotenuse is always the same which would be 13. So Sin a is 5/13. For cos the side adjacent would be 12. So it is 12/13. *Note Hypotenuse cannot be considered the adjacent.

Answer:

sin A = 5/13,  cos A = 12/13,  tan A = 5/12,  sin C = 12/13, cos C = 5/13, tan C = 12/5

Step-by-step explanation:

According to Pythagoras, hypotenuse = √{(12)^2+(5)^2}. So, hypotenuse = 13. (See picture if confused).

sin A = 5/13

cos A = 12/13

tan A = 5/12

sin C = 12/13

cos C = 5/13

tan C = 12/5

Answer:

33 Cubic inches

Step-by-step explanation:

The volume, in cubic inches, of the second cylinder is,

⇒ 210 inches³

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

Given that;

Chandni compares two cylinders. Both cylinders have an identical base.

Now, The first cylinder has a height of 4 inches and a volume of 120 cubic inches.

And, The second cylinder has a height of 7 inches.

Let the volume, in cubic inches, of the second cylinder is, x

Hence, We can formulate;

120 / 4 = x / 7

⇒ 120 × 7 = 4x

⇒ 4x = 840

⇒ x = 210 inches³

Thus, The volume, in cubic inches, of the second cylinder is,

⇒ 210 inches³

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Answer:

DEF = 110

Step-by-step explanation:

Supplementary angles add to 180

3x+5  +2x = 180

Combine like terms

5x +5 = 180

Subtract 5 from each side

5x = 175

Divide each side by 5

5x/5 = 175/5

x =35

DEF = 3x+5

     = 3*35 +5

    = 105+5

   = 110

Answer:

Please post the actual question

Step-by-step explanation:

Thanks

Answer:

30

Step-by-step explanation:

10/100 = x/300

10x300=3000

3000/100 = 30