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Akimi4 [234]
3 years ago
15

four students have to give a speech in class today. In how many different orders can they give their speeches?

Mathematics
1 answer:
bulgar [2K]3 years ago
5 0

Answer:

There are 24 possible outcomes.

Step-by-step explanation:

1. 1-2-3-4

2. 1-4-3-2

3. 1-4-2-3

4. 1-2-4-3

5. 1-3-2-4

6. 1-4-3-2

7. 2-4-3-1

8. 2-1-3-4

9. 2-1-4-3

10. 2-4-1-3

11. 2-3-1-4

12. 2-3-4-1

13. 3-2-1-4

14. 3-2-4-1

15. 3-1-2-4

16. 3-1-4-2

17. 3-4-1-2

18. 3-4-2-1

19. 4-3-2-1

20. 4-3-1-2

21. 4-2-3-1

22. 4-2-1-3

23. 4-1-2-3

24. 4-1-3-2

Hope this helps!!


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Write the equation of a line that is perpendicular to the given line that passes through the given point.
ipn [44]
<h2>Answer:</h2>

First we must find the opposite-reciprocal of the original slope.

current slope: \frac{7}{3}

new slope: -\frac{3}{7}

Using the new slope and the given point, we will plug them into slope-intercept form and solve for b, the y-intercept.

9 = -\frac{3}{7}(-4) + b\\\\9 = \frac{12}{7} + b\\\\-\frac{51}{7} = b

The y-intercept is -\frac{51}{7}.

Now, we can write the formula for the new line.

Slope-intercept form: y = -\frac{3}{7}x - \frac{51}{7}

Point-slope form: y - 9 = -\frac{3}{7}(x + 4)

3 0
3 years ago
Rosa's test scores are 78, 92, 88, and 89. What must she score on her next test to have an average of 90? A) 95 B) 97 C) 99 D) 1
Morgarella [4.7K]

Answer: D

<u>Step-by-step explanation:</u>

Let x represent the score on her next test

\frac{78 + 92 + 88 + 89 + x}{5} = 90

(5)\frac{78 + 92 + 88 + 89 + x}{5} = (5)90

78 + 92 + 88 + 89 + x = 5(90)

                      347 + x = 450

                    <u> -347      </u>   <u>-347 </u>

                                x = 103


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3 years ago
The area of a regular octagon is 35 cm squared what is the area of a regular octagon with sides five times as long
KATRIN_1 [288]
The answer would be 875cm squared
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Answer:

im gonna go with  a

Step-by-step explanation

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A function g(x) = -x^2 + 3x - 2. What is g(-4)?
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G(-4) = 4^2 + 3(-4) - 2

16 - 12 - 2

4 - 2

answer: 2
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