1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nimfa-mama [501]
3 years ago
10

What is the probability of flipping a coin 12 times and getting heads 3 times? Round your answer to the nearest tenth of a perce

nt. O A. 5.4% O B. 12.5% O C. 12.1% O D. 19.3% SUBMIT​

Mathematics
1 answer:
attashe74 [19]3 years ago
6 0
<h3>Answer: A) 5.4%</h3>

==================================

Explanation:

We use the binomial probability formula here

P(k) = (n C k)*(p)^k*(1-p)^(n-k)

In this case, there are n = 12 trials and p = 0.5 is the probability of getting heads. The value of k = 3 means we want 3 heads.

So,

P(k) = (n C k)*(p)^k*(1-p)^(n-k)

P(3) = (12 C 3)*(0.5)^3*(1-0.5)^(12-3)

P(3) = 220*(0.5)^3*(1-0.5)^(12-3)

P(3) = 0.0537109375

P(3) = 0.054

P(3) = 5.4%

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

Side note: the n C k refers to the nCr combination formula

_n C _r = \frac{n!}{r!*(n-r)!}

where the exclamation marks mean factorials. You could also use Pascal's Triangle as an alternative for this portion.

You might be interested in
50 POINTS + BRAINLIEST
BARSIC [14]

slope = rise over run = y/x

A (-1,3) slope = 3/-1 = -3

B (1,2) slope = 2/1 = 2

C (-3,-1) slope = -1/-3 = 1/3

2 lines need to be negative reciprocals in order to be a right triangle

negative reciprocal of -3 is 1/3

 so this is a right triangle


3 0
3 years ago
Read 2 more answers
What is the GCF of 88 and 66?
Vadim26 [7]

Answer:

the GCF would be 22 this is because that is 88 and 66 greatest common factor (gcf)

Step-by-step explanation:

have a good day!!

7 0
3 years ago
Read 2 more answers
What is the second step to solving this equation?<br> 9x - 23 = 49
Anna11 [10]

Answer:

Divide 9 from both sides.

Step-by-step explanation:

The first step to solving this equation is to add 23 to both sides.

9x - 23 (+23) = 49 (+23)

9x = 49 + 23

9x = 72

The second step is to isolate the x and divide 9 from both sides:

(9x)/9 = (72)/9

x = 72/9

x = 8

~

6 0
3 years ago
Which equality statement is FALSE? A) 1 = −[−(1)] B) −(−14) = 14 C) 7 = −[−(7)] D) −1 = −(−1)
Elodia [21]
D is false.

-1 = -(-1)

When you negate the negative on the left, you get a positive 1, not a negative 1.
8 0
3 years ago
The table shows the height of a plant as it grows. Which equation in point ­slope form gives the plant’s height at any time
vodka [1.7K]

Answer:

Option A is correct.

y-16=8(x-2) is the equation represent the point slope form gives the plant's height at any time.

Step-by-step explanation:

Point slope intercept form: For any two points (x_1, y_1) and  (x_2, y_2) then,

the general form

y-y_1=m(x-x_1) for linear equations;  where m is the slope given by:

m =\frac{y_2-y_1}{x_2-x_1}

Consider any two points from the table;

let A= (2 , 16) and B =(4, 32)

First calculate the slope of the line AB:

m =\frac{y_2-y_1}{x_2-x_1}=\frac{32-16}{4-2}=\frac{16}{2} = 8

Therefore, slope of the line m = 8

Then,

the equation of line is:

y-y_1=m(x-x_1)

Substitute the value of m=8 and (2, 16) above we get;

y-16=8(x-2)

Therefore, the equation in point slope form which gives the plant's height at any time is; y-16=8(x-2) , where x is the time(months) and y is the plant height (cm)


5 0
3 years ago
Read 2 more answers
Other questions:
  • I have 4 millions, 8 thousands, 11 tens, 6 ones, 9 tenths and 5 hundredths. what number am I ?
    7·2 answers
  • Y=-6x+15 <br> Y=4x-15 solve by elimination
    7·1 answer
  • What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?
    9·1 answer
  • Select each transformation that carries a square onto itself.
    8·1 answer
  • Question 4 of 10, Step 1 of 1
    6·1 answer
  • Distance between 1,-4and 7,-4 on a coordinate grid
    11·1 answer
  • I need help on math also thank you im not very smart...
    8·1 answer
  • Anyone help me please?
    13·2 answers
  • 5.32×10^5 solve it please need it by 12:00​
    5·2 answers
  • Find the value of x<br><br><br><br><br><br><br> ………..
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!