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miv72 [106K]
3 years ago
9

A Gallup poll of 1236 adults showed that​ 12% of the respondents believe that it is bad luck to walk under a ladder. Consider th

e probability that among 30 randomly selected people from the 1236 who were​ polled, there are at least 2 who have that belief. Given that the subjects surveyed were selected without​ replacement, the events are not independent. Can the probability be found by using the binomial probability​ formula? Why or why​ not?
A)No. The selections are not​ independent, and the​ 5% guideline is not met.B) No. The selections are not independentC) Yes. Although the selections are not​independent, they can be treated as being independent by applying the​5% guideline.D) Yes. There are a fixed number of selections that are​independent, can be classified into two​categories, and the probability of success remains the same.
Mathematics
1 answer:
SOVA2 [1]3 years ago
8 0

Answer:

c

Step-by-step explanation:

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State the domain and range for the function. f(x)=3 cot (2x)
m_a_m_a [10]

Answer: Domain =  (\infty,-\infty).

Range = [-3,3] .

Step-by-step explanation:

The given function :  f(x) = 3\cot (2x)

Parent function to this function, g(x)= \cos x which is a trigonometric function.

The property of this function is :

  • x can take any value , so Domain of this function is (\infty,-\infty).
  • Also, -1\leq\cos x\leq1, so Range of this function is [-1,1].

Now , for the given function,

Domain would be same as g(x),i.e. Domain of f(x) is (\infty,-\infty).

Also,  -1\leq\cos x\leq1\Rightarrow\ -3\leq3\cos x\leq3

So , Range of f(x) is [-3,3]

Hence,  the domain and range for the functionf(x) = 3\cot (2x) is

Domain =  (\infty,-\infty).

Range = [-3,3] .

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3 years ago
Which of the following steps can be performed so that the square root property may easily be applied to 2x2 = 16? (1 point)
Ivan

Answer:

\Large \boxed{\mathrm{Option \ 2}}

Step-by-step explanation:

2x^2 =16

The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 2 before applying the square root property.

The x variable should be isolated on one side of the equation. The x variable is squared so before performing the square root property where we take the square root of both sides, we divide both sides by 2, then take the square root of both sides.

Dividing both sides by 2.

\displaystyle \frac{2x^2 }{2} =\frac{16}{2}

x^2 =8

Taking the square root of both sides.

\sqrt{x^2 } =\pm \sqrt{8}

x=\pm 2\sqrt{2}

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