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2 years ago

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Mathematics

1 answer:

kompoz [17]2 years ago

3 0

The relative frequency for the range 16 - 20 is 0.27.

<h3>What is the frequency of a data set?</h3>

The frequency of a data set refers to the number of times a data or an event is occurring.

From the given information:

Range Number of values

1 - 5 3

6 - 10 1

11 - 15 4

16 - 20 5

21 - 25 2

Total 15

Relative Frequency = Subgroup frequency/ Total frequency

Relative Frequency for the range 16 - 20:

= 4/15

= 0.27

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Which trig ratio<br> determine which trig ratio to use to solve for x

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Answer:

sin = opp / hyp

cos = Adj / hyp

tan = opp / adj

7. cos 41 = x / 86

8. sin x = 5/13

9. cos x = 9/37

10. tan 61 = x/28

11. sin 41 = x/65

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Step-by-step explanation:

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2 years ago

13. Write an equation for the given function given the amplitude, period, phase shift, and vertical shift.

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Answer:

$y=4sin(\frac{\pi}{2} x+\pi)-2$

Step-by-step explanation:

The equation of a periodic function is in the form:

y = Asin(Bx + C) + D

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Given that:

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Hence:

A = amplitude = 4, B = 2π / period = 2π / 4 = π / 2, D = vertical shift = -2.

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Therefore substituting gives:

$y=4sin(\frac{\pi}{2} x+\pi)-2$

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3 years ago

A commercial jet has been instructed to climb from its present altitude of 6000 feet to a cruising altitude of 30,000 feet. If t

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An easier way of doing this would be to subtract the initial attitude from the final attitude and divide by the rate of increase
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3 years ago

F(x) =5+ 1 , find f(-4)

tester [92]

Answer:

Step-by-step explanation:

F(x) =5x + 1 , find f(-4)

Putting value of x = 4

F(4) = 5(4) + 1

= 20 + 1 = 21

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3 years ago

In a quiz-based program, there are three teams A, B and C. There is a total of five rounds in a game; 20 marks are given for eac

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From the given scenarios, the positions of winning of each team is; Team C came first, Team A came second and Team B came third

<h3>How to find probability of winning?</h3>

From the question, we can derive the following;

Marks gained by team A = 3 × 20 = 60 marks

Marks deducted = 2 × 10 = 20 marks

Hence;

Total marks for Team A = 60 - 20 = 40 marks

Marks gained by team B = 2 × 20 = 40 marks

Marks deducted = 2 × 10 = 20 marks

Hence, total marks of team B = 40 - 20 = 20 marks

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Marks deducted = 1 × 10 = 10 marks

Hence, total marks of team C = 60 - 10 = 50 marks

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2 years ago