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SOVA2 [1]
2 years ago
6

What is the range of the function y = 2sin X?

Mathematics
1 answer:
ruslelena [56]2 years ago
7 0

Answer:

Range: [-2, 2] {y | -2 ≤ y ≤ 2}

Step-by-step explanation:

The given function is y = 2sinx

We have to find the range of the given function.

Since at y-axis sine function has the variance between -1 to 1 so range of y = sinx is [-1, 1]

and if the amplitude of sine function is 2 then sine function will vary from -2 to 2 which implies that range of y = 2 sinx will be [-2, 2]

So range of y = 2sinx is [-2, 2]

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3,588

Step by step:

7.5 × 24 × 20 = 3120

16.9 × 24 × 10 = 4056

4056 + 3120 ÷ 2 = 3,588

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3 years ago
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In a study to establish the absolute threshold of hearing, 80 male college freshmen were each seated in a soundproof room and a
Norma-Jean [14]

Answer:

Step-by-step explanation:

Hello!

To study the threshold of hering the researcher took a random sample of 80 male college freshmen.

The students underwent an audiometry test where a tome was played and they had to press a button when they detected it.  The researcher recorded the lowest stimulus level at which the tone was detected obtaining a sample mean of X[bar]= 22.2 dB and a standard deviation of S= 2.1 dB

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X[bar] ± Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

Where the semiamplitude or margin of error of the interval is:

d= Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

Using a 95% level Z_{0.975}= 1.965

d= 1.965 * \frac{2.1}{\sqrt{80} }

d= 0.46

The point estimate of the population mean of the threshold of hearing for male college freshmen is X[bar]= 22.2 db

And the estimation using a 95%CI is [21.74;22.66]

I hope this helps!

8 0
3 years ago
The surface area of a cylinder is 602.88. If the dimensions of the cylinder are
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Step-by-step explanation:

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3 0
3 years ago
If p varies inversely with q, and p = 2 when q = 1, find the<br>equation that relates p and q.​
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Answer:

p = \frac{2}{q}

Step-by-step explanation:

Given that p varies inversely with q then the equation relating them is

p = \frac{k}{q} ← k is the constant of variation

To find k use the condition p = 2 when q = 1, thus

k = pq = 2 × 1 = 2

p = \frac{2}{q} ← equation of variation

3 0
4 years ago
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