A fair coin is tossed n times. For which value of n can the experimental probability of tossing tails equal the theoretical probability?

Answer:

y = (x - 2)² - 9    Vertex form

y = x² - 4x - 5   Standard form

Step-by-step explanation:

vertex = (h, k) = (2, -9)

Vertex form

y = a(x - h)² + k

y = a(x - 2)² - 9

find "a" using point (5, 0)

0 = a(5 - 2)² - 9

0 = a(3)² - 9

0 = 9a - 9

9 = 9a

a = 1

y = (x - 2)² - 9

Standard form

y = (x² - 4x + 4)  - 9

y = x² - 4x - 5

Answer:

1200cm²

Step-by-step explanation:

(½*20cm*10cm)*2 + (½*20cm*50cm)*2

Answer:

60 * 40 / 2 = 120cm²

try to puzzle the triangles together to rectangles in your head

Answer:

no

Step-by-step explanation:

A circle will fail the vertical line test, which means a vertical lines intersects two or more points.  If it fails the vertical line test, it is not a function  

Answer:

2, 4, 6, and 8, respectively

Step-by-step explanation:

The rule says that 2 times the x value, which we are given, equals to y, which we must find. So all we hve to do is multiply each of the given x values by two to get the y value.

Answer:

y=2x

Step-by-step explanation:'

Multiply the x times 2

[tex]\frac{1}{2}[/tex]                      [tex]\frac{2}{4}[/tex]                     [tex]\frac{3}{6}[/tex]                   [tex]\frac{4}{8}[/tex]        

2          4          6           8

Answer:

vertex = (- 1, - 4 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 2x - 3 ← is in standard form

with a = 1, b = 2 , then

x = - [tex]\frac{2}{2}[/tex] = - 1

Substitute x = - 1 into the equation for corresponding value of y

y = (- 1)² + 2(- 1) - 3 = 1 - 2 - 3 = - 4

vertex = (- 1, - 4 )

Answer:

y = 0.36

Step-by-step explanation:

Given y is inversely proportional to x² then the equation relating them is

y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of variation

To find k use the condition y = 9 when x = 2 , then

9 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

36 = k

y = [tex]\frac{36}{x^2}[/tex] ← equation of variation

When x = 10 , then

y = [tex]\frac{36}{10^2}[/tex] = [tex]\frac{36}{100}[/tex] = 0.36

3 black and 2 red balls, total number is 5

i) Both balls are black:

ii) Black and red balls:

22 boys and 18 girls, total number is 40

Combinations of 2 students:

Combination of 2 boys:

Combination of 2 girls:

Probability of selecting 2 students of the same sex:

Answer:

3y5 + 8y4 – 8y3

Step-by-step explanation:

2y5 – 6y3 + 1 + y5 + 8y4 – 2y3 – 1

2y5 + y5 + 8y4 – 6y3 – 2y3 + 1 – 1

3y5 + 8y4 – 8y3

Answer:

4.

5.

arranging the values in ascending order

2, 2, 4, 4, 4, 5, 6, 6, 6, 8, 8, 9

[tex]mean = \frac{ sum \: of \: all \: observations}{total \: number \: of \: observations}[/tex]

[tex] = \frac{2+2+4+4+4+5+6+6+6+8+8+9}{12} [/tex]

[tex] = \frac{64}{12} \\ = \frac{16}{3} [/tex]

median = 1/ 2 [ n/2th term +{ (n/2)+ 1 }th term ]

for n is even

= 1/ 2 [ 6th + 7th term]

= 1/ 2 [5 + 6]

= 5.5

mode = value with highest frequency or the value that appears most frequently In a given set of data.

mode =4, 6

because both 4and 6 appear 3 times in the given set of data which is the highest frequency.

Answer:

Answer:

4.

this shows that the height of 13 year old females in one class is less variable than the other class.

this means that the height of students in class with range 6 may vary from person to person while that in class with range 3 maybe clustered around one another.

we're expected to see students of almost same height in class ,with range 3, more than the students in class with range 6.

5.

arranging the values in ascending order

2, 2, 4, 4, 4, 5, 6, 6, 6, 8, 8, 9

mean = \frac{ sum \: of \: all \: observations}{total \: number \: of \: observations}mean=

totalnumberofobservations

sumofallobservations

= \frac{2+2+4+4+4+5+6+6+6+8+8+9}{12} =

12

2+2+4+4+4+5+6+6+6+8+8+9

\begin{gathered} = \frac{64}{12} \\ = \frac{16}{3} \end{gathered}

=

12

64

=

3

16

median = 1/ 2 [ n/2th term +{ (n/2)+ 1 }th term ]

for n is even

= 1/ 2 [ 6th + 7th term]

= 1/ 2 [5 + 6]

= 5.5

mode = value with highest frequency or the value that appears most frequently In a given set of data.

mode =4, 6

because both 4and 6 appear 3 times in the given set of data which is the highest frequency.

Step-by-step explanation:

it might help you

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

A = [ -1, 2, -3, 4]

B = [ -2, 3, -2, 4]

C = [ 3, -4, -2, 4]

Answer:

v=2

Step-by-step explanation:

add five to the other side and: -8v=(-21+5)

divide -16 by -8: v= -16/-8

v=2

Answer:

Step-by-step explanation:

5/3=1/n(do cross multiplication)

3*1=5*n

3=5n

3/5=n

Answer:

$115/hr    The 10 hr mechanic

$50/hr    The 5hr mechanic

Step-by-step explanation:

let the 10 hr mechanic charge x

then the 5 hr mechanic charges 165 - x

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

10x + 5(165 - x) = 1400

10x + 825 - 5x = 1400

5x = 575

x = 115    The 10 hr mechanic

165 - x = 50    The 5hr mechanic

Answer:

The answers is B

y=5/4x-4

9514 1404 393

Answer:

  D.  $101,000 – $120,000

Step-by-step explanation:

The bar graph is not completely labeled, but in the context of the question it seems safe to assume that the vertical scale can be considered to represent relative frequency.

So, the shortest bar is the one with the lowest frequency. The horizontal scale identifies that as 101-120. If we assume that is salary in thousands of dollars, then Choice D is appropriate.

Answer:

94.2

Step-by-step explanation:

Answer:

C = pie x diameter

= 3.14 x 30

= 94.2 units

Answer: 57 degrees

Step-by-step explanation:

Angle ZXY = Angle YZV = 75 degrees (Alternate segment theorem)

Since angles on a straight line add upto 180 degrees:

Angle UZX = 180 - ( 75 + 48) = 57 degrees

Note: 75 is Angle YZV and 48 is Angle XZY

Answer:

The graph below ^-^

Hope this helps!

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The graph that represents the equation is given below.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

y = (-1/2) [tex]2^x[/tex]

The graph that represents the equation is given below.

Thus,

The graph that represents the equation is given below.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

Answer:

You add the powers and multiply coefficients.

Answer:

y = 10/8 = 1.125 or 1 1/4

Step-by-step explanation:

Inverse proportion means

xy = a constant.

In this case, the constant is given by the example,

x = 2 when y=5, so

xy=10

when x = 8, then

y = 10/8 = 1.125 or 1 1/4

Answer:

A = 68/5 ≈ 13.6

Step-by-step explanation:

If they're similar, the fraction between their sides have to be the same:

5/2 = 34/A

34•2/5 = A

A = 68/5 ≈ 13.6

Answer:

6

Step-by-step explanation:

y = f(x)

6 = a |1 |

6 = a. 1

a = 6/1

a = 6

Answer:

[tex] \displaystyle a = 6[/tex]

Step-by-step explanation:

we are given a absolute value function

[tex] \displaystyle f(x) = a |x| [/tex]

we want to figure out the value of a

since we are a point which is on the function we can figure out a by using the point i.e (1,6) this point tell us when x is 1 f(x) is 6 thus

substitute:

[tex] \displaystyle 6= a \cdot |1| [/tex]

absolute value of any integer is positive therefore,

[tex] \displaystyle 6= a \cdot 1[/tex]

simplify multiplication:

[tex] \displaystyle 6= a [/tex]

hence,

the value of a is [tex]\underline{\quad 6 \quad}[/tex]

Answer:

254.34cm^2

Step-by-step explanation:

area=πr^2

area=3.14*9^2

area=3.14*81

area=254.34 cm^2

Step-by-step explanation:

first find the area of the semi circle

1/2πr²

1/2π(2ft)²

1/2π4ft²

6.2831853071795864ft²

area of shaded portion

area of a rectangle=length x width

4ftx2ft(2is half the diameter)

8ft²

subtract are of semi circle from the area of the rectangle

8ft²-6.2831853071795864ft²

1.7168146928204135ft²

Step-by-step explanation:

(5.8 x 10⁴) + (7.17 × 10^6) =

(5.8 × 10⁴) + ( 717 × 10⁴)

= (5.8 +717) × 10⁴

= 722.8 × 10⁴

= 7.228 × 10^6

Answer:

72

Step-by-step explanation:

20 got 4 added to it and the only number that gives you 24 when you multiply it is 4x6 and we can prove that to be right because the one before it is 4x5 and it gives us 20. Now that we know the multiplier is 5 and 6 we can ask ourselves, "What do I multiply by 5 that gives me 60?" And that is 12. So 12x6 is 72 for x.

Answer:

.66

Step-by-step explanation: