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vesna_86 [32]
2 years ago
12

We will flip a balanced coin 3 times and for each toss, record whether we get a Head or a Tail. Write all possible outcomes of t

his experiment to find the probability that we get exactly 2 heads. Group of answer choices
Mathematics
1 answer:
VMariaS [17]2 years ago
4 0

Answer:

probability to get exactly 2 heads when flipped a balanced coin 3 times is 3/8 = 0.375 (37.5%)

Step-by-step explanation:

Denoting H as head and T as tails , then in 3 flips there are 2³=8 possible outcomes.

the possible outcomes in 3 flips are

H , H , H

H , H , T

H , T , H

H , T , T

T , H , H

T , H , T

T , T , H

T , T , T

then there are 3 outcomes out of 8 where there are exactly 2 heads ( 2 heads with the tails in the 3 different places possible)

then the probability to get exactly 2 heads when flipped a balanced coin 3 times is 3/8 = 0.375 (37.5%)

You might be interested in
Calculate the standard deviation. Variance = 107.76. Mean = 34.2
Llana [10]

Answer:

The standard deviation is 10.38

Step-by-step explanation:

Given;

Variance, v = 107.76

mean, x = 34.2

The standard deviation is given by;

standard deviation = √variance

standard deviation = √107.76

standard deviation =  10.381

standard deviation = 10.38 (two decimal places)

Therefore, the standard deviation is 10.38

8 0
2 years ago
The graph shows the distance a ball has traveled x seconds after it was thrown what is the average speed between 2 seconds and 8
docker41 [41]

Answer:

0.5

Step-by-step explanation:

5 0
2 years ago
The area of a square concrete slab is 20 square feet. Find the side length of the square concrete slab if the area is increase b
guapka [62]

The side length of the square concrete slab if the area is increased by 25% is 5feet

The formula for calculating the area of a square is expressed as:

A =  L² where:

L is the side length of the square

Given the area of the square concrete slab = 20 square feet

20 = L²

L =√20

If the area is increased  by 25%, new area will be:

An = 20 + (0.25*20)

An = 20 + 5

An = 25 sq.ft

Get the new length

An = Ln²

25 =   Ln²

Ln = √25

Ln = 5feet

Hence the side length of the square concrete slab if the area is increased by 25% is 5feet

Learn more here: brainly.com/question/11300671

7 0
1 year ago
Triangle ABE is similar to triangle ACD. AED and ABC are straight lines. EB and DC are parallel. AE = 5 cm, BC = 4.5 cm, BE = 4
lianna [129]

Answer:

y = 16x/65

Step-by-step explanation:

Given:

Triangle ABE is similar to triangle ACD. AED and ABC are straight lines

EB and DC are parallel

The area of quadrilateral BCDE = xcm²

The area of triangle ABE = ycm²

Find attached the diagram from the above information.

In similar triangles, the ratio of their corresponding angles are equal.

Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.

Area ∆ACD/area of ∆ABE = (DC/EB)²

Area ∆ACD/area of ∆ABE = [(area of quadrilateral BCDE +

area of ∆ABE)]/(area of ∆ABE)

(x+y)/y = (DC/EB)²

(x+y)/y = (9/4)²

x+y = (81/16)y

x = (81/16)y - y

x = (81y - 16y)/16

x = 65y/16

Making y subject of formula

16x = 65y

y = 16x/65

An expression for y in terms of x:

y = 16x/65

3 0
1 year ago
A sculpture of a clothespin is 20 feet high. A normal clothespin of this shape is five inches high. Using this scale, how many f
kodGreya [7K]
This is the concept of scale factor. The linear scale factor is given by:
(height of sculpture)/(height of clothespin)
=20/(5/12)
=48
Given that a woman is 5ft 7 in, the sculpture of this woman would be:
height of sculpture=(scale factor)*(height of the woman)
height of the woman=5 ft 7 inches=5 7/12 ft=67/12 ft
hence the height of the sculpture will be:
67/12×48
=268 ft

Answer: 268 ft

7 0
2 years ago
Read 2 more answers
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