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Alinara [238K]
2 years ago
12

Ben enters four events in an athletics competition. The probability of him winning each of the event is shown below

Mathematics
1 answer:
Kryger [21]2 years ago
8 0

Answer:

Hi I need to get another chance to go back to school subject1

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A sine function has an amplitude of 3, a period of pi, and a phase shift of pi/2. What is the y-intercept of the function?
jarptica [38.1K]

Based on the calculations, we can logically deduce that the y-intercept of this sine function is equal to: A. 3.

<u>Given the following data:</u>

  • Amplitude = 3
  • Period = π
  • Phase shift = π/2

<h3>How to determine the y-intercept of this function?</h3>

Mathematically, a sine function is modeled by this equation:

y = Asin(ωt + ø)

<u>Where:</u>

  • A represents the amplitude.
  • ω represents angular velocity.
  • t represents the period.
  • ø represents the phase shift.

Also, the period of a sine wave is given by:

t = 2π/ω

2 = 2π/ω

ω = 2

Substituting the given parameters into the equation, we have;

y = 3sin(2t + π/2)

At t = 0, we have:

y = 3sin(2(0) + π/2)

y = 3sin(π/2)

y = 3sin(90)

y = 3 × 1

y = 3.

In conclusion, we can logically deduce that the y-intercept of this sine function is equal to 3.

Read more on phase shift here: brainly.com/question/27692212

#SPJ1

5 0
2 years ago
Many has 48 feet of wood he wants to use all of it to create a border around a garden. The equation 2l+2w=48 can be used to find
lord [1]
2L + 2W = 48 

L= 15 feet

substitute the given value to the formula provided.

2(15) + 2W = 48

multiply 2 by 15

30 + 2W = 48

use the subtraction property of equality to cancel the value 30 on the left side. 

30 - 30 + 2W = 48 - 30

cancel 30 on the left side leaving 2W while subtract 30 from 48.

2W = 18

divide both sides to get the value of the width.

2W/2 = 18/2

W = 9ft     this is the final answer.

5 0
3 years ago
In a survey of 500 people, 31% said they were afraid of flying. What decimal represents the number of people who said they were
Elden [556K]

Answer:

.31

Step-by-step explanation:

155 / 5        31/100

500/ 5

31÷100

Long Division for 31 divided by 100

round to a Max of 3 Decimal gives us

=0.31

6 0
3 years ago
How many one and one-halves are in six?
sergeinik [125]
1 and 1/2 is the same as 1.5 and 1.5 * 4 is 6 so I would say 4
6 0
4 years ago
What is the equation of the vertical line that contains the point (-3,8)?
forsale [732]

Answer: The answer is; x=-3

Step-by-step explanation: (The work is in the image below)

Additional note: hey! I hope that this helps you! Have a good day!

8 0
3 years ago
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