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mestny [16]
2 years ago
5

Please Help me. Also if you could show your work thatd be great.

Mathematics
1 answer:
Over [174]2 years ago
5 0

Answer:

3) all \: real \: numbers, (  - \infty , \infty ), or -  \infty  \leqslant x \leqslant  \infty (same thing)

4) -  \infty  < y < 0 or ( -  \infty ,0) (same thing)

5) -2 or (0, -2) (same thing)

Step-by-step explanation:

3) Domain represents the amount of x-values in a function. The image shows that the function's arrows point in both directions (right and left), infinitely, so the domain would be all \: real \: numbers, (  - \infty , \infty ), or -  \infty  \leqslant x \leqslant  \infty(same thing).

4) Range represents the amount of y-values in a function. The function goes downward forever (- \infty  < y) by the indication of an arrow and halts just under the y-axis (y < 0). After combining these two inequalities, you see that the range is -  \infty  < y < 0 or ( -  \infty ,0) (same thing).

5) The y-intercept is where the function crosses the y-axis. In this function, the y-intercept is -2 or (0, -2) (same thing).

You might be interested in
A survey is conducted to find out whether people in metropolitan areas obtain their news from television (Event T), an newspaper
MrMuchimi

Answer:

e) P ( R' | T ) = 0.62857

f)  P ( T' | N ) = 0.32258

g)  P ( R' | N ) = 0.70968

h) P ( T' | N&R ) = 5/6

Step-by-step explanation:

Given:

- The probability of Television as news source P ( T ) = 0.7

- The probability of Newspaper as news source P ( N ) = 0.62

- The probability of Radio as news source P ( R ) = 0.46

- The probability of Television & Newspaper as news source P (T&N) = 0.42

- The probability of Television & Radio as news source P (T&R) = 0.26

- The probability of Radio & Newspaper as news source P (R&N) = 0.18

- The probability of all 3 as news source P ( T & R & N ) = 0.03

Find:

Given that TV is a news source, what is the probability that radio is not a news source?

Given that newspaper is a news source, what is the probability that TV is not a news source?

Given that newspaper is a news source, what is the probability that radio is not a news source?

Given that both newspaper and radio are news sources, what is the probability that TV is not a news source?

Solution:

- We will first compute the individual probability of each event occurring alone.

   P (Television is the only news source) = P(T) - P(T&R) - P(T&N) + P(T&N&R)

   P ( Only Television ) = P ( only T ) = 0.7 - 0.42 - 0.26 + 0.03 = 0.05

   P (Newspaper is the only news source) = P(N)-P(N&R)-P(T&N)+P(T&N&R)

   P ( Only Newspaper ) = P ( only N ) = 0.62 - 0.18 - 0.42 + 0.03 = 0.05

   P (Radio is the only news source) = P(R) - P(T&R) - P(N&R) + P(T&N&R)

   P ( Only Radio ) = P ( only R ) = 0.46 - 0.26 - 0.18 + 0.03 = 0.05

- Now for part e)

   We are asked for a conditional probability of the form as follows:

            P ( R' | T ) = P ( R' & T ) / P ( T )

   First compute the probability that next news source is not Radio provided it is already a source of TV.                              

            P ( R' & T ) =  P( only T ) + P ( only T & N ) = 0.05 + 0.42 - 0.03 = 0.44

Hence,

            P ( R' | T ) = 0.44 / 0.7

            P ( R' | T ) = 0.62857

- Now for part f)

   We are asked for a conditional probability of the form as follows:

            P ( T' | N ) = P ( T' & N ) / P ( N )

   First compute the probability that next news source is not TV provided it is already a source of Newspaper.                              

            P ( T' & N ) =  P( only N ) + P ( only R & N ) = 0.05 + 0.18 - 0.03 = 0.2

Hence,

           P ( T' | N ) = 0.2 / 0.62

           P ( T' | N ) = 0.32258

- Now for part g)

   We are asked for a conditional probability of the form as follows:

            P ( R' | N ) = P ( R' & N ) / P ( N )

   First compute the probability that next news source is not Radio provided it is already a source of Newspaper.                              

            P ( R' & N ) =  P( only N ) + P ( only T & N ) = 0.05 + 0.42 - 0.03 = 0.44

Hence,

            P ( R' | N ) = 0.44 / 0.62

            P ( R' | N ) = 0.70968

- Now for part h)

   We are asked for a conditional probability of the form as follows:

            P ( T' | N&R ) = P ( T' & N & R) / P ( N & R )

   First compute the probability that next news source is not TV provided it is already a source of both radio and Newspaper.                              

            P ( T' & N & R) = P ( only N & R ) = 0.18 - 0.03 = 0.15

Hence,

            P ( T' | N&R ) = 0.15 / 0.18

            P ( T' | N&R ) = 5/6

6 0
3 years ago
I have a choice between dominoes pizza or pizza hut what should I devour​
suter [353]

Answer: Obviously chose Pizza Hut, as no other pizza place can out pizza the hut.

6 0
3 years ago
Read 2 more answers
PLEASE HELP
VikaD [51]

Answer:

9

Step-by-step explanation:

total parts= 3+7=10

12=4 parts

1 part=3

3*3=9

3 0
2 years ago
Alex buys 24 apples from the supermarket. When he gets home, he finds that 6 apples are bad. What percentage of the apples are b
Masteriza [31]
The percentage of apples that are bad is 25%. This is because 25% of 24 is 6. I hope this helped! 
5 0
2 years ago
Find the AGI and taxable income:
Juli2301 [7.4K]
This "question" isn't even a question. If the question is asking to calculate AGI and taxable income I can definitely help. This is what I do for a living! I am assuming this is 3 questions.   
1. Find the AGI and taxable income: Gross Income $30,856 Adjustments $750 1 Exemption $8200 Deduction $2,300 
 AGI: $31,200 and $20,601 $30106 --- ANSWER: 30,106 (30,856-750)
 Taxable Income: $19,606 $29,586 and $18,505 $28,863 and $17,636 1 points--- ANSWER 19,606 
 2. QUESTION 5 Find the AGI and taxable income. Gross Income $67,890
Adjustments $0 3 Exemptions $24,600 Deduction $1469 
 AGI: $69,440 and $45,300 $68,990 and $42,831 $67,890 --- ANSWER:
67,890
 Taxable Income: $41,821 $65,551 and $44,821 1 points --- ANSWER: 41,821 (67,890-24,600-1,469) 
 3. QUESTION 6 Find the AGI and taxable income. Gross income $19,723 Adjustments $255 1 Exemption $8200 Deduction $1430 $19,4
 AGI: 19,468 (19,723-255)
 Taxable Income: 9,838 (19,468-8,200-1,430) 
 Goodluck! If you need anything else feel free to reach out to me directly. Not sure if you can I'm fairly new to this.  
 -Mike
6 0
3 years ago
Read 2 more answers
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