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Andrei [34K]
3 years ago
7

A coin is flipped eight times, and the sequence of heads and tails occurring is recorded. How many distinct sequences are possib

le?
Mathematics
1 answer:
Mashcka [7]3 years ago
6 0

Answer:

256

Step-by-step explanation:

Here, the order of the results from each other doesn't matter. e.g HHHTTTTT, TTTTTHHH are two different outcomes.

There are two possible outcomes for each flip, heads,H or tails, T

After eight flips, using the rule of product, the possible outcomes or sequences is equal to

2x2x2x2x2x2x2x2= 2^8=256

General formula for total number of outcomes when a coin is flipped is given by 2 raised to power n, where n is the number of flips, in this case, n is 8,  2^8=256

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Find the area of the shaded region.
jolli1 [7]

Answer:

15x-36

Step-by-step explanation:

7 0
2 years ago
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Suppose that an object whose is 10th weighs 50 N find the weight of an object whose is 6 kg
Nady [450]
Weight is another term for the force from mass multiplied by acceleration due to gravity, the equation being expressed as f = ma, being force, mass, and acceleration respectively.

We already have 2 parts of the equation,50 = 10a 

Acceleration due to gravity on the planet is 5 m/s^2

Plug it into the equation f = ma

f=6kg x 5m/s^2

Weight or force from gravity is 60N.

8 0
3 years ago
What is the radius of a sphere if its surface area is 2,122.64 square inches? (Use 3.14 for π.) 11 in. 13 in. 121 in. 169 in.
crimeas [40]
To solve this, we are going to use the surface are of a sphere formula: A=4 \pi r^2
where
A is the surface area of the sphere 
r is the radius of the sphere 

We know for our problem that A=2122.64 and \pi =3.14, so lets replace those vales in our formula:
A=4 \pi r^2
2122.64=4(3.14)r^2
2122.64=12.56r^2
Now, we just need to solve our equation for r:
\frac{2122.64}{12.56} =r^2
r^2=\frac{2122.64}{12.56}
r^2=169
r=+or- \sqrt{169}
r=13 or r=13
Since the radius of a sphere cannot be a negative number, r=13.

We can conclude that the radius of a sphere with surface area <span>2,122.64 </span>in^2 is 13 in.
3 0
3 years ago
75% of 124 is what number a ?
Maksim231197 [3]
75% of of the number 124 is 93
4 0
3 years ago
Read 2 more answers
Solve for x.
Masteriza [31]

Answer:

x = 2.5 or -0.8

Step-by-step explanation:

Here, we are to use completing the square method to solve for the values of x

Firstly, we divide through by 4

= x^2 -7/4x -2 = 0

Now, we move the two term to the right hand side

x^2 -7/4x = 2

Now, we divide the coefficient of x by 2 and square it;

That would be;

(-7/4 * 1/2)^2 = 49/64

we now add this value to both sides of the equation

x^2 -7/4x + 49/64 = 2 + 49/64

The right hand side can be rewritten as;

(x-7/8)^2 = 177/64

taking the square root of both sides

x-7/8 = √(177/64)

x = 7/8 ± √(177/64)

x = 7/8 + √(177/74) or 7/8 - √(177/64)

= x = 2.53802 or -0.788017

Which to the nearest tenth is

x = 2.5 or -0.8

7 0
3 years ago
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