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3 years ago

What is the domain of y = cos θ

Mathematics

2 answers:

ElenaW [278]3 years ago

5 0

All real numbers / all x
if you're asking for range as well then its -1<x<1

rosijanka [135]3 years ago

3 0

Answer:

The domain is all real numbers or $x\in(-\infty,\infty)$

Step-by-step explanation:

The definition of domain is :

Domain is the set of x values for which the function is defined.

The given function is y = cos θ and we know that θ can take any value. In other words, for any value of θ, the function y = cos θ is defined.

Therefore, we can conclude that the domain of y = cos θ is the set of all real values.

In interval notation we can write it as

$x\in(-\infty,\infty)$

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3 years ago

A parabola intersects the xxx-axis at x=3x=3x, equals, 3 and x=9x=9x, equals, 9.

vekshin1

Answer:

$x^2-12x+27 =0$

Step-by-step explanation:

Given a Parabola that intersects the x-axis at x=3 and x=9.

I presume you want to determine the equation of the parabola.

You can use this form:

Given roots of a parabola, the equation of the parabola is derived using the formula:

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8 0

3 years ago

The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d

jek_recluse [69]

Answer:

50%

Step-by-step explanation:

68-95-99.7 rule

68% of all values lie within the 1 standard deviation from mean $(\mu-\sigma,\mu+\sigma)$

95% of all values lie within the 1 standard deviation from mean $(\mu-1\sigma,\mu+1\sigma)$

99.7% of all values lie within the 1 standard deviation from mean $(\mu-3\sigma,\mu+3\sigma)$

The distribution of the number of daily requests is bell-shaped and has a mean of 55 and a standard deviation of 4.

$\mu = 55\\\sigma = 4$

68% of all values lie within the 1 standard deviation from mean $(\mu-\sigma,\mu+\sigma)$ = $(55-4,55+4)$ = $(51,59)$

95% of all values lie within the 2 standard deviation from mean $(\mu-1\sigma,\mu+1\sigma)$ = $(55-2(4),55+2(4))$ = $(47,63)$

99.7% of all values lie within the 3 standard deviation from mean $(\mu-3\sigma,\mu+3\sigma)$ = $(55-3(4),55+3(4))$ = $(43,67)$

Refer the attached figure

P(43<x<55)=2.5%+13.5%+34%=50%

Hence The approximate percentage of light bulb replacement requests numbering between 43 and 55 is 50%

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3 years ago