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3 years ago

Could someone explain this?

Mathematics

1 answer:

77julia77 [94]3 years ago

8 0

9514 1404 393

Answer:

Step-by-step explanation:

The curve's highest value is -1.

The curve's lowest value is -5.

For a symmetrical wave like this*, the amplitude is half the difference between the highest and lowest values:

1/2(-1 -(-5)) = 2

The amplitude is 2.

_____

* There is no general agreement as to how to compute the amplitude when the wave is asymmetrical. Some authors use the same formula. Some consider the amplitude to be the maximum deviation from average. Some define only a "peak-to-peak" amplitude in those cases. The meaning of "amplitude" in those cases depends on the context in which the question is asked.

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What is the greatest common factor of 3 and 27?

Drupady [299]

Answer:

Step-by-step explanation:

because 3 is the only number that goes into both 3 and 27

8 0

3 years ago

Read 2 more answers

Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.

AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning = 9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

$\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}$

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

And, returned over the same road at the rate of 40 mph.

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )

⇒ $\frac{x}{40}-\frac{x}{45}=\frac{1}{2}$

⇒ $\frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}$

⇒ $\frac{x}{360} = \farc{1}{2}$

⇒ $2x=720$

⇒ $x=360\text{ miles}$

Hence, the total distance from home to New York = x miles = 360 miles

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

$=\frac{360}{45}=8\text{ hours}$

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

$=\frac{360}{40}=9\text{ hours}$

3 0

3 years ago

Which ordered pair is included in the solution set to the following system?

Nataliya [291]

The ordered pair is included in the solution set to the following system is (0,2)

<h3>Set of inequalities</h3>

Given the set of inequalities

y > x2 + 1

y < x2 – x + 1

Equate both expressions to have:

x^2 + 1 = x^2 - x +1

1 = -x + 1

x = 0

Substitute x = 0 into any of the function

y = x^2 + 1

y = 1

This shows that the ordered pair is included in the solution set to the following system is (0,2)

Learn more on inequality here: brainly.com/question/24372553

#SPJ1

7 0

2 years ago

Determine whether the given procedure results in a binomial distribution (or a distribution that can be treated as binomial).

MArishka [77]

Answer:

B. No, because the trials of the experiment are not independent and the probability of success differs from trial to trial.

Step-by-step explanation:

The first criterion of a binomial distribution is a fixed number of trials. Selecting 5 senators means the number of trials is 5, which is a fixed number.

The next criterion is that the trials must be independent. Selecting the senators without replacement means the trials are dependent, not independent; this means that this is not a binomial distribution.

5 0

3 years ago

What is 5 5/7 * 5 5/7

hichkok12 [17]

Answer:

1600/49

Step-by-step explanation:

5 5/7 = 40/7

40/7 * 40/7 = 1600/49

7 0

3 years ago