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
Deffense [45]
3 years ago
7

A coin is tossed four times What is the probability of getting four heads? (1 mark) a) b) What is the probability of getting exa

ctly work. (2 marks) two heads? Be sure to show your What is the probability of not getting two heads? Be sure to show your work.
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
6 0
<h2>Answer:</h2>

1. A coin is tossed four times. What is the probability of getting four heads?

Each toss has a 1/2 chance of getting a head.

So the chance of getting all four heads can be calculated as :

1/2\times1/2\times1/2\times1/2=1/16

2. A coin is tossed four times. What is the probability of getting two heads?

Each toss can have 2 results, so 4 flips will have 2^{4} or 16 results.

Getting two heads means getting two tails also. So, we can get the number of times two heads come = \frac{4!}{2!2!} = 6

We can write the groups like - {HHTT,HTHT,HTTH,THHT,THTH,TTHH}

So, the required probability is : 6/16 or 3/8.

3. Not getting two heads means getting 3 tails and 1 head or all tails.

Probability of having all tails = 1/2\times1/2\times1/2\times1/2=1/16

Probability of one head(1st trial) and three tails = 1/16

Probability of one head (2nd trial) and three tails (the 1st, 3rd and 4th trials) = 1/16

Probability of one head (3rd trial) and three tails (the 1st, 2nd and 4th trials) = 1/16

Probability of one head (4th trial) and three tails (the 1st, 2nd and 3rd trials) = 1/16

So, the total probability showing only one or none head and at least three tails = 1/16+1/16+1/16+1/16+1/16=5/16

You might be interested in
Evaluate the expression
fgiga [73]
Simplify the following:
2^3 (4×36/12 + 1/4)

4×36/12 = (4×36)/12:
2^3 ((4×36)/12 + 1/4)
2^3 = 2×2^2:
2×2^2 ((4×36)/12 + 1/4)
2^2 = 4:
2×4 ((4×36)/12 + 1/4)
2×4 = 8:
8 ((4×36)/12 + 1/4)
36/12 = (12×3)/12 = 3:
8 (4×3 + 1/4)
4×3 = 12:
8 (12 + 1/4)
Put 1/4 + 12 over the common denominator 4. 1/4 + 12 = 1/4 + (4×12)/4:
8 1/4 + (4×12)/4
4×12 = 48:
8 (1/4 + 48/4)
1/4 + 48/4 = (1 + 48)/4:
8 (1 + 48)/4
1 + 48 = 49:
8×49/4

8×49/4 = (8×49)/4:
(8×49)/4
8/4 = (4×2)/4 = 2:
2×49
2×49 = 98:
Answer: 98
4 0
3 years ago
PLEASE SOMEONE TELL ME HOW THEY GOT 423 cm AS THE ANSWER FOR A. I NEED HELP WITH THIS QUESTION!!!!!!!!!!!!!
3241004551 [841]

From the setup of the problem, the "length of the top of the bookcase, measured along the attic ceiling" will be the hypotenuse of a right triangle, the length "AB". We have both the angle between AB and AC and the length of AC (3.24 meters), so we can use trigonometric identities.

The cosine of the 40 degree angle between AB and AC is equivalent to the length of AC divided by the length of AB. Equivalently, we have:

cos(40) = \frac{3.24}{h}

where "h", the hypotenuse, is the length we want. Rearranging the formula to solve for h we have that

$h = \frac{3.24}{cos(40)}$

which is 4.2295... meters. Converting to centimeters (multiplying by 100) we have that h = 422.95... centimeters, or if we round the value, h = 423 centimeters.

6 0
3 years ago
Select all of the following that are quadratic equations.
goldenfox [79]

Answer:

1. x² + 3x - 5 = 0

2. x² - x = 3 x + 7

4. 7x² + 14x = 0

Step-by-step explanation:

A Quadratic equation takes the form;

ax² + bx + c = 0

a, b, c are constants and a cannot be 0.

Options 1 fits this;

x² + 3x - 5 = 0

Option 2 fits this as well;

x² - x = 3 x + 7  

x² -x - 3x - 7 = 0

x² - 4x - 7 = 0

Option 4 fits this as well if c = 0.

7x² + 14x + 0 = 0

8 0
3 years ago
The process of moving a figure to a different location is called:
Kisachek [45]
The process of moving a figure to a different location is called TRANSFORMATION. 
5 0
3 years ago
Four different positive integers have a product of 110.<br>What is the sum of the four integers?​
BigorU [14]
<h3>Answer:  19</h3>

Explanation:

Let's break 110 down into its prime factors

110 = 11*10

110 = 11*2*5

110 = 2*5*11

We have three different prime factors that multiply to 110. However, the instructions say there are 4 integers that multiply to 110. To fix this, we can say

110 = 1*2*5*11

now we see that 1,2,5 and 11 multiply out to 110

They add to 1+2+5+11 = 3+16 = 19

3 0
2 years ago
Other questions:
  • What are the values of a and b?
    15·1 answer
  • Describe the process for calculating the area of this figure
    12·2 answers
  • What is the equation for a geometric sequence with a first term of 4 and a second term of −8?
    7·1 answer
  • What is the difference between a dependent and an independent variable?
    12·1 answer
  • If sin 0=1 over square root of 2 find the value of 0
    7·1 answer
  • What are the solutions to the nonlinear system of equations below? Check all that apply x ^ 2 + y ^ 2 = 4 (x ^ 2)/(2 ^ 2) - (y ^
    14·2 answers
  • The atomic mass of a chemical element is the number of protons + number of neutrons in each atom of that element—electrons are i
    12·1 answer
  • Find the value of the power.<br> 4<br> 5
    14·2 answers
  • Please help this is due soon, whoever answers correctly will get a brainy!
    5·2 answers
  • Cual es el resultado de la operacion algebraica: 25x+12x+31x-8x+5x
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!