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Dafna11 [192]
2 years ago
15

Which table correctly shows all the sample spaces for tossing a coin to get heads and rolling a number on a six-sided number cub

e?
Mathematics
1 answer:
Lelechka [254]2 years ago
3 0

Using it's concept, the sample space for the experiment is given as follows:

{(H,1), (H,2), (H,3), (H,4), (H,5), (H,6), (T,1), (T,2), (T,3), (T,4), (T,5), (T,6)}

<h3>What is the sample space of an experiment?</h3>

The sample space is the set that contains all possible outcomes for an experiment.

In this problem:

  • For the coin, there are 2 outcomes, H for heads and T for tails.
  • For the number, there are 6 outcomes, which are the 6 numbers.

Hence the sample space is given as follows:
{(H,1), (H,2), (H,3), (H,4), (H,5), (H,6), (T,1), (T,2), (T,3), (T,4), (T,5), (T,6)}

More can be learned about sample space at brainly.com/question/25861936

#SPJ1

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8 0
3 years ago
Write the equation for the line that passes through the points (4, 5) and
bija089 [108]

Answer:

Step-by-step explanation:

(9-5)/6-4)= 4/2= 2

y - 5 = 2(x - 4)

y - 5 = 2x - 8

y = 2x - 3 is the solution

3 0
3 years ago
A grade has 81 girls and 72 boys. The grade is split into groups that have the same ratio of girls to boys as the whole grade. H
Aloiza [94]

Answer:

Pretty sure it is 18 girls

Step-by-step explanation:

81 girls: 72 boys

72 boys /16 boys = 4.5

81 girls / 4.5= 18 girls

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4 0
3 years ago
Read 2 more answers
You have two parents, four grandparents, eight greatgrandparents, and so forth.
Leviafan [203]
A.
In the first generation we have 2 ancestors.
In the second generation we have 4 ancestors or 2^{2} ancestors.
In the third generation we have 8 ancestors ot 2^{3} ancestors.

We can see that each succesive generation has two times more members. The sum is:
2+4+8+16+...+ 2^{40}

To calculate number of ancestors we can use formula <span>for the sum of a geometric sequence. Geometric sequence is sequence of numbers that differ by a certain factor. This factor is called ratio. Formula is:
</span>S= a_{1} * \frac{1- r^{n} }{1-r}
<span>Where:
S -> sum
a1 -> first member of a sequence
r -> ratio
n -> number of elements

For this question:
a1 = 2
r = 2
n = 40
</span>S= 2* \frac{1- 2^{40} }{1-2} =2 199 023 255 550
<span>
b.
1 generation = 25 years
40 generations = 40 * 25 = 1000 years

c.
Total number of people who have ever lived = </span>10^{10}
Number of ancestors in 40 generations = 2.2*10^{12}

The number of ancestors is greater than total number of people who have ever lived. This means that not all ancestors were distinct and that in each generation both men and women had children with more than one partner.
8 0
3 years ago
A rectangular auditorium seats 2142 people. The number of seats in each row exceeds the number of rows by 9. Find the number of
maxonik [38]

9514 1404 393

Answer:

  51

Step-by-step explanation:

Let s represent the number of seats in a row. Then the number of rows is (s-9) and the total number of seats is ...

  s(s-9) = 2142

  s² -9s +4.5² = 2142 +4.5² . . . . . complete the square

  (s -4.5) = √2162.25 . . . . . . . . take the positive square root

  s = 4.5 +46.5 = 51 . . . . . . . add 4.5

The number of seats in each row is 51.

6 0
3 years ago
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