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dsp73
3 years ago
10

. According to a study done by researchers at Georgetown University, recent college graduates who majored in architecture have t

he highest unemploy- ment rate, at 13.9%. Arts majors are next, with an 11.1% unemployment rate for recent graduates (source: Georgetown Center on Education and the Workforce). Recent graduates are defined as eligible workers between the ages of 22 and 26. In a random sample of 200 recent architecture graduates, compute the a. expected number of grads who are unemployed. b. variance of the random variable "number of grads who are unemployed
Mathematics
1 answer:
galben [10]3 years ago
8 0

Answer:

The mean is 27.8

The required variance is 23.9358

Step-by-step explanation:

Consider the provided information.

Here the random sample size, n = 200

Unemployment rate is 13.9% = p = 0.139

Part (a) expected number of grads who are unemployed.

Mean = np\\Mean = 200\times 0.139\\Mean = 27.8

Hence, the mean is 27.8

Part (b) variance of the random variable "number of grads who are unemployed.

Variance = np(1-p)\\Variance = 200\times 0.139(1-0.139)\\Variance = 27.8(0.861)\\Variance = 23.9358

Hence, the required variance is 23.9358

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Answer: True

Solution:

Rearrange the equation to the LHS:

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Factoring  x^2+8x+16

x^2 - 4x - 4x - 16

= (x-4)  •  (x-4)

= = (x+4)2

So now we have an equation

(x + 4)^2 • (x - 4)^2 -  (x^2 - 16)^2  = 0

Step 2: Evaluate the following:

(x+4)2   =    x^2+8x+16

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Hence True

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3 years ago
If f(x) = -6x +6 what is f^–1(x)=
ss7ja [257]
<span>f(x) = -6x +6
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Answer
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3 years ago
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