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Vitek1552 [10]
2 years ago
14

(3y + 2)(7y) y= 1 How do I evaluate that. Please show work

Mathematics
2 answers:
STALIN [3.7K]2 years ago
6 0

Answer:

1.  y = 1/7 = 0.143

2.  y = 2/3 = 0.667

Step-by-step explanation:

STEP  1 :

Equation at the end of step 1

 (3y - 2) • (7y - 1)  = 0  

STEP  2 :

Theory - Roots of a product

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2      Solve  :    3y-2 = 0  

Add  2  to both sides of the equation :  

                     3y = 2

Divide both sides of the equation by 3:

                    y = 2/3 = 0.667

Solving a Single Variable Equation:

2.3      Solve  :    7y-1 = 0  

Add  1  to both sides of the equation :  

                     7y = 1

Divide both sides of the equation by 7:

                    y = 1/7 = 0.143

LUCKY_DIMON [66]2 years ago
4 0

Answer: 17

Step-by-step explanation:

y= 1

(3y + 2)(7y)                

(3(1) + 2(7(1))              Replace y with given number

(3 + 2(7))                    Multiply 1 to 3 and 7

(3 + 14)                       Multiply 2 and 7

(17)                              Add 3 and 14

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Every evening, two weather stations issue weather forecast for the next day. The weather forecasts are independent. On average,
EleoNora [17]

Answer:

The probability is 0.6923

Step-by-step explanation:

Let's call R the event that the next day rains, S the event that the next day has sunny weather, R2 the event that the station 2 predicts rain and S1 the event that station 1 predict sunny weather.

The probability that the next day has sunny weather given that station 1 predicts sunny weather for the next day and station 2 predicts rain is calculated as:

P(S/S1∩R2) = P(S∩S1∩R2)/P(S1∩R2)

Where P(S1∩R2) = P(R∩S1∩R2) + P(S∩S1∩R2)

So, the probability P(R∩S1∩R2) that the next day rains, Station 1 predicts sunny weather and Station 2 predicts Rain is calculate as:

P(R∩S1∩R2) = 0.5 * 0.1 * 0.8 = 0.04

Because 0.5 is the probability that the next day rains, 0.1 is the probability that station 1 predicts sunny weather given that it is going to rain and 0.8 is the probability that station 2 predicts rain given that it is going to rain.

At the same way, the probability P(S∩S1∩R2) that the next day has sunny weather, Station 1 predicts sunny weather and Station 2 predicts Rain is calculate as:

P(S∩S1∩R2) = 0.5 * 0.9 * 0.2 = 0.09

Then, the probability P(S1∩R2) that station 1 predicts sunny weather for the next day, whereas station 2 predicts rain is:

P(S1∩R2) = 0.04 + 0.09 = 0.13

Finally, P(S/S1∩R2) is:

P(S/S1∩R2) = 0.09/0.13 = 0.6923

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