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sergij07 [2.7K]
3 years ago
5

Please help I don't understand this

Mathematics
1 answer:
Effectus [21]3 years ago
7 0
The correct answer is:  [C]:  " \frac{7}{18}" .
____________________________________________________
Explanation:
____________________________________________________
Given:
____________________________________________________
  
  2 / (9x) = 4 / 7 ;  solve for "x" ;
____________________________________________________

Cross-multiply:

        →   (9x)*4  = 2 * 7 ; 

        →   36x = 14 ; 

Divide each side of the equation by "36" ; 
 to isolate "x" on one side of the equation; & to solve for "x" ; 

        →   36x / 36 = 14 / 36 ; 

                   x = 14/ 36 ; 

                  → x = 14/36 = (14÷2) / (36÷2) = 7/18 ; 
______________________________________________________

The answer is:  " \frac{7}{18}" ;

                       →  which is:  Answer choice:  [C]:  " \frac{7}{18}" .
______________________________________________________
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A diner has collected data about customer coffee-drinking habits. They have calculated that P(cream) = 0.5, P(sugar) = 0.6, and
frozen [14]

Answer:

P(cream and sugar) = 0.4

Step-by-step explanation:

* Lets study the meaning of or , and on probability

- The use of the word or means that you are calculating the probability

 that either event A or event B happened

-  Both events do not have to happen

- The use the word and, means that both event A and B have to happen

* The addition rules are:

# P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen

 at the same time)

# P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they

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- The union is written as A∪B or “A or B”.

- The intersection is written as A∩B or “A and B”

* Lets solve the question

∵ P(cream) = 0.5

∵ P(sugar) = 0.6

∵ P(cream or sugar) = 0.7

- To find P(cream and sugar) lets use the rule of non-mutually exclusive

∵ P(A or B) = P(A) + P(B) - P(A and B)

∴ P(cream or sugar) = P(cream) + P(sugar) - P(cream and sugar)

- Lets substitute the values of P(cream) , P(sugar) , P(cream or sugar)

 in the rule

∵ 0.7 = 0.5 + 0.6 - P(cream and sugar) ⇒ add the like terms

∴ 0.7 = 1.1 - P(cream and sugar) ⇒ subtract 1.1 from both sides

∴ 0.7 - 1.1 = - P(cream and sugar)

∴ - 0.4 = - P(cream and sugar) ⇒ multiply both sides by -1

∴ 0.4 = P(cream and sugar)

* P(cream and sugar) = 0.4

5 0
3 years ago
Read 2 more answers
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ankoles [38]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
I need help ASAP! I don’t understand this so I was hoping anyone would help
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3 years ago
The cost of C (in dollars) of making n watches is represented by C=15n+85. How many watches are made when the cost is $385?
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well...

15 x 20 = 300

300+85 = 385


you can get 20 watches for $385


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If I did my math correctly I believe your answer will be C. :)
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