7-C=4<br><br><br> Hint: equation and rational coefficient

4. From a faculty of six professors, six associate professors, ten assistant professors, and twelve instructors, a committee of

Degger [83]

Answer:

P=0.228

Step-by-step explanation:

We know that from a faculty of six professors, six associate professors, ten assistant professors, and twelve instructors, a committee of size six is to be selected.

Therefore, we have 34 people.

We calculate the number of possible combinations:

$C^{34}_6=\frac{34!}{6!(34-6)!}=1344904\\$

Of the 6 professors we choose 2, and of the other 28 people we choose 4.

We calculate the number of favorable combinations:

$C_2^6\cdot C_4^{28}=\frac{6!}{2!(6-2)!}\cdot \frac{28!}{4!(28-4)!}=15\cdot 20475=307125\\$

Therefore, the probability is:

$P=\frac{307125}{1344904}=0.228$

8 0

4 years ago

A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these so

otez555 [7]

Answer: (0.132132, 0.274368)

Step-by-step explanation:

Given : A simple random sample of 123 people living in Gastown and finds that 25 have an annual income that is below the poverty line.

i.e. n= 123

$\hat{p}=\dfrac{25}{123}\approx0.203252$

Critical value for 95% confidence interval : $z_{\alpha/2}=1.96$

Confidence interval for population :

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

i.e. $0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}$

$0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}\\\\\0.203252\pm0.071118\\\\=(0.20325-0.071118,\ 0.203252+0.071118)\\\\=(0.132132,\ 0.274368)$

Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)

5 0

4 years ago

Given f(x) = -3x + 1 and g(x) = 4*, find the following combinations:

Nikitich [7]

Step-by-step explanation:

Please refer to the attachment

5 0

3 years ago

Customers arrive at a bank at a rate of 12/hour. It takes the clerk on average 4 minutes to help each customer. a. What is the a

-Dominant- [34]

Answer:

Step-by-step explanation:12 customers per hour..

4minutes per customer..

Time customers must wait= 12customers ×4minutes =48 minutes.. The clerk use 48minutes to attend to 12customers in one hour leaving him with 12spare minutes.

(B)since the clerk has 12 minute to spare it means each customer have a minute to wait before getting attention..

(C)number of customers waiting =12/2=6customers...

4 0

3 years ago

The Star television costs $750 more than the Jupiter television. The two models cost $2,600 all together. Sandra writes an equat

tiny-mole [99]

2600 - 750 = 1850 , 1850 / 2 = 925 , 925 + 750 = 1675 . star = $1675 and jupiter = $925 . so 2600 - c = star price ($1675)

5 0

4 years ago

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7-C=4 Hint: equation and rational coefficient