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4 years ago

Three fair coins are tossed. what is the probability that they are all heads if at least one coin is head,

Mathematics

2 answers:

Olegator [25]4 years ago

4 0

There is your answer hope it helps
$\frac{1}{3}$

EleoNora [17]4 years ago

3 0

Answer:

1/7

Step-by-step explanation:

There are 8 sample points in the sample space. The sample space is

S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}. The event at least one coin is head is compoused

by seven sample points: {HHH, HHT, HTH, THH, TTH, THT, HTT}, then, to obtain the probability of three heads given that we know that at least one coin is head, we should regard the "new sample space" reduced, i.e., we should consider the set with seven sample points as the new sample space. In the new sample space, just one point corresponds to three heads. Therefore the probability we are seeking is 1 out of 7 or 1/7.

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Find the perimeter and the area of the figure. A right-angled trapezoid has a shorter base of 7 centimeters, longer base of 9.5

laila [671]

The given dimensions of 9.5, 6, 7, and 6.5 cm gives the following

perimeter and area of the trapezium.

Perimeter: 29 cm

Area: 49.5 cm²

<h3>How can the area and perimeter of the trapezium be found?</h3>

The perimeter of a trapezoid is given as follows;

Perimeter = The sum of the lengths of the sides

Which gives;

Perimeter = 6 + 7 + 6.5 + 9.5 = 29

The perimeter of the trapezoid = 29 cm

Perimeter: 29 cm

The area of the trapezoid is given as follows;

$Area = \mathbf{ \dfrac{Sum \ of \ the \ parallel \ sides }{2} \times Height}$

Which gives;

$Area = \dfrac{7 + 9.5 }{2} \times 6 = 49.5$

The area of the trapezoid = 49.5 cm²

Area: 49.5 cm²

Learn more about the area and perimeter of geometric shapes here:

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8 0

2 years ago

Peter is reading a 193-page book. he has read three pages more than one-fourth of the number of pages he hasn't yet read. how ma

exis [7]

Let's call the number of pages we have read $m$ . To find the number of pages we have left to read, we'll need to subtract the number of pages we've read from the total number of pages in the book. Our total page count is 193, and the number of pages we've read is the unknown $m$ , so the number of pages we haven't read can be written as $193-m$ . With that knowledge, let's construct the rest of our equation.

"He has read three pages more than one-fourth of the number of pages he hasn't yet read." The first key phrase here is "he has read." What this means is that the number of pages he's read, which we've named $m$ , is equal to everything in the rest of the sentence. "Thee pages more than" means that we're going to be adding 3 to whatever the next quantity described is, which, in this case, is "one-fourth of the number of pages he hasn't yet read." We already established earlier that "the number of pages he hasn't yet read" is $193-m$ , so one-fourth of that would be $\frac{1}{4} (193-m)$ . Putting everything together, we get the following equation:

$m= \frac{1}{4} (193-m)+3$

To solve for $m$ , we might first want to eliminate the fraction 1/4 by multiplying both sides of the equation by 4, obtaining

$4m=193-m+12$

Solving for m, we get:

$4m=193+12-m\\5m=205\\m=41$

Now that we have m, it's a simple matter to solve for $193-m$ :

$193-41=152$

So, he has not yet read 152 pages.

6 0

3 years ago

97 divided by 17 round it

aksik [14]

Answer:

Step-by-step explanation:

the answer would be 5.70588235294, but if you are rounding to the nearest tenth, its 6

7 0

3 years ago

Read 2 more answers

What is the missing number in the solution to 948 = 10 below? A. 48 B. 4 C. 40 D. 80

denis23 [38]

Answer:

Step-by-step explanation:

8 0

3 years ago

Help on this thx for helping if you did

vichka [17]

To evaluate two fractions being divided, you must turn the right fraction into a reciprocal. That means you must put the bottom number at the top and then put the top number on the bottom (you’re basically switching them).

8/13 / 3/2

Now, once you turned the other number into a reciprocal, you multiply across. The top number times the other top number and do this to the bottom numbers, too.

8/13 * 3/2 = 24/26

You found the answer, 24/26. But as you can see, it’s not one of the choices. That’s because you need to simplify.

24/26 / 2/2 = 12/13

12/13 is your answer, or choice C!

I hope this helped. Comment below if you have any questions.

6 0

4 years ago