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Aneli [31]
3 years ago
15

A coin is tossed two times. what is the probability of getting tails two times in a row?

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
5 0
It's a conditional probability: (We know that the probability of getting 1 tail or 1 head is equal to 1/2)

Probability ( Tail AND Tail) = 1/2 x 1/2 = 1/4
You might be interested in
3 years ago a father was 3 times as old as his son, in five years time he will be twice as old as his son, what will be the sum
ivolga24 [154]

Answer: 46 years

Step-by-step explanation:

Let the father's age be x and the son's age be y, then 3 years ago:

Father = x - 3

son     = y - 3

Then , from the first statement :

x - 3 = 3 ( y - 3 )

x - 3 = 3y - 9

x     = 3y - 9 + 3

x     = 3y - 6 .......................................... equation 1

In five years time

father = x + 5

son = y + 5

Then , from the second statement

x + 5 = 2 ( y + 5 )

x + 5 = 2y + 10

x       = 2y + 10 - 5

x       = 2y + 5 ........................ equation 2

Equating equation 1 and 2 , we have

3y -6 = 2y + 5

add 6 to both sides

3y = 2y + 5 + 6

subtract 2y from both sides

3y - 2y = 11

y = 11

substitute y = 11 into equation 1 to find the value of x

x = 3y - 6

x = 3(11) - 6

x = 33 - 6

x = 27

This means that the father is presently 27 years and the son is presently 11 years.

In four years time

father = 27 + 4 = 31

son = 11 + 4      = 15

sum of their ages in four years time will be

31 + 15 = 46 years

5 0
3 years ago
Read 2 more answers
Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.
Lina20 [59]

Answer:

44

Step-by-step explanation:

Given:

f(x) = 4x^2 - 3

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

f(3) = 4(3)^2 - 3

f(3) = 4(9) - 3

f(3) = 36 - 3

f(3) = 33

To find f(9), replace x with 9 in the given function

f(9) = 4(9)^2 - 3

f(9) = 4(81) - 3

f(9) = 324 - 3

f(9) = 321

Average rate of change = \frac{f(b) - f(a)}{b - a}

Where,

a = 3, f(a) = 33

b = 9, f(b) = 321

Plug in the values into the formula for average rate of change.

= \frac{321 - 33}{9 - 3}

= \frac{288}{6}

= 44

Average rate of change = 44

3 0
3 years ago
What are all the multiplication problems that make 2
makvit [3.9K]
If we're talking in whole numbers, the only multiplication of whole numbers that equals two is 
2 * 1
or 
-2 * -1
6 0
3 years ago
Read 2 more answers
Write 90 as a product of prime factors in expanded form.
NISA [10]

Given :

The number is given as 90.

Explanation :

To find the product of prime factors in expanded form

90=2\times3\times3\times5

Answer :

Hence the answer is

90=2\times3\times3\times5

5 0
1 year ago
Help me this is hard
siniylev [52]

Following PEMDAS is crucial to solving these. Please Excuse My Dear Aunt Sally

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Multiplication/Division and Addition/Subtraction are interchangeable.

Now then, number 1 has the following:

4-2*409-8*96

There are no parenthesis or exponents, but there is multiplication, so we will start with multiplying. There are two multiplication expressions in the problem.

-2 * 409 = -818

-8 * 96 = -768

Since you did that, your answer has been simplified to:

4-818-768

Now, all you have to do is combine your like terms. Since every term is alike, you can combine the whole expression.

4-818-768 = -1582

So, your final answer would be:

4-2*409-8*96 = -1582

Hopefully with this information, you can solve the rest. If you have any questions, let me know.

3 0
3 years ago
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