$|\Omega|=52\\ |A|=\underbrace{13}_{\text{clubs}}+\underbrace{4}_{\text{jacks}}-\underbrace{1}_{\text{jack of clubs}}=16\\\\ P(A)=\dfrac{16}{52}=\dfrac{4}{13}\approx31\%$

7 0

3 years ago

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What is the domain of the relation y = arccscx?

Stella [2.4K]

Answer:

$y=arc\csc x$

Step-by-step explanation:

The given function is $y=arc\csc x$ .

The domain refers to all values of x for which this function is defined.

Recall that: the domain of $y=arc \sin (x)$ is $-1\le x\le1$

And we know $y=arc\csc x$ is the reciprocal of $y=arc \sin (x)$ .

Therefore the complement of the domain of $y=arc \sin (x)$ which is $(-\infty,-1]\cup [1,+\infty)$ is the domain of $y=arc\csc x$

5 0

3 years ago

A tractor was purchased for $30,000 six years ago. what is the value of the tractor today if the depreciation rate was 2.5%?

MrRissso [65]

Initial cost = $30,000
Depreciation rate = 2.5%

Depreciation expense per year = 30,000*2.5/100 = $750
In six years,
Depreciation = 6*750 = $4,500

Value of the tractor = Initial cost - Depreciation = $30,000 - $4,500 = $25,500

6 0

3 years ago