A coin is tossed 100 times resulting in 46 heads and 54 tails. The same

A coin is tossed 100 times resulting in 46 heads and 54 tails. The same coin is tossed 1000 times resulting in 495 heads and 505 tails. What is the theoretical probability of getting heads with this coin?

2 months ago

Solution 1

Guest Guest #912
2 months ago
Theoretically the chance of flipping a coin is still 50%. However, the likelihood based on a data set such as this is 49.18%. You can get this by adding the numbers together and dividing by the total number of times flipped. 

📚 Related Questions

What is the difference of the two polynomials? (9x2 + 8x) – (2x2 + 3x)
Solution 1


(9x² + 8x) - (2x² + 3x)

= 7x² + 5x

Step-by-step explanation:

(9x² + 8x) - (2x² + 3x)

open the bracket

= 9x² + 8x - 2x² - 3x

collect like terms

= 9x² - 2x² + 8x - 3x

= 7x² + 5x

Solution 2

Can you discuss the differences between circumference and area of a circle ?
Solution 1
The circumference (C) of any circle is the perimeter around it; it is circles' one dimensional measurement (i.e. in, ft, cm, mi, etc.). As a circle grows, increasing the
circle's size, the distance around it (circumference) increases proportionately with
the radius. Thus this length can be found by multiplying the radius × 2 (or diameter × 1) × a constant known as pi. Pi, an infinitely long decimal that begins 3.1416, was calculated by working backwards from the length of a circle, divided by 2×radius. No matter the size of any circle, they discovered that the distance will always vary 3.1416... × twice the radius (or diameter). An example is a circle of radius 40 cm: C = 2pi×r = 80pi cm, or 251.33 cm.

The area (A) of a circle, however, covers much more matter; it is the two dimensional measure of any circle (i.e. sq.in., sq.ft, sq.cm, etc.). Area also varies according the constant pi × the radius, BUT it increases much more than the radius once; it varies by the radius × radius (radius squared) × the value pi. Using the same circle example of radius 40cm: A = pi×r^2,
A = (40×40)pi = 1600pi = 5,026.55 cm^2.

So you can see that the [2-dimensional] area of this circle is 20 times the [1-dimensional] circumference
Solution 2
The circumference of a circle is the length around the circle which is equal to 360°. Pi is the number needed to find the circumference of the circle. In circles the AREA is equal to 3.14xRadias^2
ΔDEF rotates 90° clockwise about point A to create ΔD 'E 'F. Therefore, which equation must be true? m∠DEF = m∠D 'F 'E '
Solution 1
The equation that is given does not have to be true, because the letters are not in the same order. Therefore, we are not comparing the corresponding pairs of angles. They may or may not be congruent.

When a shape is rotated, the corresponding pairs of angles are congruent.
Solution 2

As Rotation does not bring any changes in the shape and size of a geometrical figure.

So, the two triangles , ΔDEF→→Called Pre image

when rotated through an angle of 90°, will be congruent to

, ΔD'E'F'→→→Called Image.

→So, when two triangles are congruent , their corresponding parts will be equal ,that is congruent.

1. ∠FD E≅∠F' D'E'


3.∠E FD≅∠E'F'D'

4. ED≅E'D'

5. F E=F'E'

6.  FD=F'D'

All six possibilities are true when, ΔDEF rotates 90° clockwise about point A to create ΔD 'E 'F.

Choose all questions that are true A. 4+9=6+7 B. 12-8=1+3 C. 15-8=5+3 D. 9-2=16-9 E. 6+5=18-9
Solution 1
I believe the correct answers are A, B, and D
Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which best describes the discriminant and the number of zeros? The equation has one zero because the discriminant is 1. The equation has one zero because the discriminant is a perfect square. The equation has two zeros because the discriminant is greater than 0. The equation has no zeros because the discriminant is not a perfect square.
Solution 1
For ax^2+bx+c=0 the discriminant is b^2-4ac

there are 3 basic cases of what happens for different discriminants
1. if the discriminant is less than 0, then there are no real zeroes
2. if the discriminant is 0, then it has 1 zero
3. if the discriminant is greater than 0, it has 2 zeroes

so given
thus the discriminant is (-7)^2-4(3)(4)=49-48=1
the discriminant is 1. 1 is positive, thus the equation has 2 zeroes because the discriminant is greater than 0

the answer is the equation has two zeroes because the discriminant is greater than 0
Solution 2
The equation has two zeros because the discriminant is greater than 0

An equation always has two zeroes unless the discriminant is 0 or negative. 
PLEASE HELP, ASAP! Deborah is planting a rectangular garden. The garden is 15.25 feet long and 12.5 feet wide. The formula for the area of a rectangle is A=bh. What is the area of the garden? Enter your answer as a decimal in the box.
Solution 1

Answer: 190.625\text{ feet}^2

Step-by-step explanation:

Given:  Deborah is planting a rectangular garden.

The breadth of the garden (b)= 12.5 feet

The length of the garden (h)= 15.25

The formula for the area of a rectangle is given by :-

A=bh\\\\\Rightarrow\ A=12.5\times15.25\\\\\Rightarrow\ A=190.625\text{ feet}^2

Therefore, the area of the garden = 190.625\text{ feet}^2

Solution 2
27.75 hope it helps!
How to simplify 4(2a)+7(-4b)+(3×c×5)
Solution 1
→ Solutions

⇒ Simplify 4(2a)+7(4b)+3c(5)⇒ 8a+28b+15c

⇒ 8a−28b+15c
Solution 2

\huge\text{Hey there!}

\mathsf{4(2a)+7(-4b)+(3\times c \times5)}\\\mathsf{= 4(2a)+7(-4b)+3(c)(5)}\\\mathsf{= 8a - 28b + 3c(5)}\\\mathsf{= 8a - 28b + 15c}\\\\\huge\textbf{Thus, your answer is: \boxed{\mathsf{8a - 28b + 15c}}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}


Diego has a large box that is 4 feet high, 3 feet wide, and 5 feet long. Can he fit 65 smaller boxes that each have a volume of 1 cubic foot in the large box?
Solution 1
Volume of the large box = 4 x 3 x 5 = 60 ft³

Volume of a cube = 1 ft³
Total number of cubes = 1 x 65 = 65 ft³

Answer: No, Diego cannot fit 65 smaller cubes into the large box. There will be 5 cubes that cannot be put in,

jeffs water bill includes a base charge of 12.00. plus a charge of 1.50 for each 1000 gallons of water used. his water bill is 28.50. how many gallons of water did jeff use?
Solution 1
Ok u have to subtract 28.50 from 12 that is 16.50 and then u divide it by 1.50 then multiply the dividend that's your answer. I belive its 11,000 gallons.
What is the grearest common factor of 56 and 92
Solution 1
The greatest common factor is 4
Solution 2
We look for a number that can divide into 56 and 92 the same time.

2/    56      92              2 into 56 and 92
2/    28      46              2 again into 28 and 46
  /     14     23

There is no number that can go into 14 and 23 again so we stop.

Greatest Common Factor (GCF) =  2 * 2 = 4.

GCF = 4