Give an example of a compound event. :)
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(20 pts)

Answers

Answer 1

Answer: A compound event is one in which there is more than one possible outcome.

An experiment consists of rolling two fair dice.
(Look at the picture)
1. How many possible outcomes are there for this experiment?
2. Determine if each event is compound or simple.
(a) Rolling a 1 on the first die.
(b) Rolling an even number on the first die and an odd number on the second die.
3. What is the probability of rolling an even number on the first die and an odd number on the second die?
4. What is the probability of rolling one even number and one odd number, if it doesn't matter on which die each occurs?

1. 362. (a) simple, (b) compound
3. 9/36 = 1/4
4. 18/36 = 1/2
( / means it is a fraction)

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How do I solve this problem? 4/9 + 2 =

The horsepower , H(s), required for a racecar to overcome wind resistance is given by the function : H(s) = 0.003s^2+0.07s-0.027 , where (s) is the speed of the car in miles per hours. What is the average rate of change in horsepower per unit speed if the race car increases in speed from 80 mph to 100 mph . A 1.64 B. 0.61 C. 12.2 D. 20.0

Answers

The average rate of change in horsepower per unit speed if the race car increases in speed from 80 mph to 100 mph is 0.61

The function of the horsepower is given as:

$\mathbf{H(s) = 0.003s^2 + 0.07s - 0.027}$

The average rate of change is calculated using:

$\mathbf{A(s) =(H(b) - H(a))/(b - a)}$

Substitute 80 and 100 for a and b, respectively

$\mathbf{A(s) =(H(100) - H(80))/(100 - 80)}$

$\mathbf{A(s) =(H(100) - H(80))/(20)}$

Calculate H(100) and H(80)

$\mathbf{H(80) =0.003 * 80^2 + 0.07 * 80 - 0.027 = 24.773}$

$\mathbf{H(100) =0.003 * 100^2 + 0.07 * 100 - 0.027 = 36.973}$

So, we have:

$\mathbf{A(s) =(H(100) - H(80))/(20)}$

$\mathbf{A(s) = (36.973 - 24.773)/(20)}$

$\mathbf{A(s) = (12.2)/(20)}$

$\mathbf{A(s) = 0.61}$

Hence, the average rate of change in horsepower per unit speed is 0.61

Read more about average rate of change at:

brainly.com/question/23715190

Average rate of change = [H(100) - H(80)] / (100 - 80)
H(100) = 0.003(100)^2 + 0.07(100) - 0.027 = 0.003(10000) + 0.07(100) - 0.027 = 30 + 7 - 0.027 = 36.973

H(80) = 0.003(80)^2 + 0.07(80) - 0.027 = 0.003(6400) + 0.07(80) - 0.027 = 19.2 + 5.6 - 0.027 = 24.773

Average rate of change = (36.973 - 24.773)/(100 - 80) = 12.2/20 = 0.61

Answer: B

Find the inverse of the following. select all that apply

Answers

Answer:

$h^(- 1) (x) = \sqrt{(x - 8)^(3)} = (√(x - 8))^(3) = (x - 8)^{(3)/(2) }$

Step-by-step explanation:

The given function is $h(x) = \sqrt[3]{x^(2)} + 8$ and we have to find the inverse function of this function h(x).

Now, let us assume, $y = \sqrt[3]{x^(2)} + 8$

⇒ $y - 8 = \sqrt[3]{x^(2)}$

⇒ $(y - 8)^(3) = x^(2)$ {Cubing both sides}

⇒ x² = (y - 8)³

⇒ $x = \sqrt{(y - 8)^(3) }$

Therefore, the inverse function $h^(- 1) (x) = \sqrt{(x - 8)^(3)} = (√(x - 8))^(3) = (x - 8)^{(3)/(2) }$

So, options A, B, and D are correct. (Answer)

Please help!! I literally can’t fail this

Answers

Answer:

It's negative 4

Step-by-step explanation:

12/-3 is -4

Arithmetic sequence
5,3,1,-1 find a^18

Answers

Arithmetic sequence 5, 3, 1, -1 then value of a^18 is 3814697265625.

Solution:

Given, arithmetic sequence is 5, 3, 1, -1

We have to find the value of $a^(18)$

We know that, first term of any A.P is represented by the letter “a”

So, here in our problem first term a = 5

Then we have to find the value of $5^(18)$

$5^(18)=5^(4+4+4+4+2)=5^(4) * 5^(4) * 5^(4) * 5^(4) * 5^(2)$

$\text { since } a^(m+n)=a^(m) * a^(n)$

$\begin{array}{l}{=625 * 625 * 625 * 625 * 25} \n\n {=390625 * 390625 * 25} \n\n {=152587890625 * 25} \n\n {=3814697265625}\end{array}$

Hence, the value of a^18 is 3814697265625.

Final answer:

The 18th term of the arithmetic sequence is -29.

Explanation:

An arithmetic sequence is a sequence in which the difference between any term and its preceding term is constant. In this case, the common difference is -2, because each term is decreased by 2 to get the next term. To find the 18th term, we can use the formula:

an = a1 + (n-1)d

where an is the term we want to find, a1 is the first term, n is the position of the term, and d is the common difference.

Using the given sequence, we can substitute the values into the formula:

a18 = 5 + (18-1)(-2) = 5 + 17(-2) = 5 - 34 = -29

Therefore, the 18th term of the given arithmetic sequence is -29.