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Pavlova-9 [17]
3 years ago
9

What is the solution to 10(3x−5)=−20

Mathematics
1 answer:
MatroZZZ [7]3 years ago
4 0

Answer:

x = 1

Step-by-step explanation:

  1. Apply the distributive property. It should now look like this:                  30x - 50 = -20
  2. Add 50 to each side, so it now looks like this: 30x = 30
  3. Divide each side by 30 to cancel out the 30 next to x. It should now look like this: x = 1

I hope this helps!

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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

6 0
3 years ago
There are 37 more cats than dogs in an animal shelter. If there are 78 cats at he shelter, how many dogs are there?
Sloan [31]
There are 41 dogs in the shelter
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3 years ago
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Jack use the place value chart below to show 1,826.5. Jack divided 1,826.5 by a number to get a quotient of 18.265 which he wrot
Annette [7]

Answer:

<h3>100</h3>

Step-by-step explanation:

Let the number we are looking for be x. If Jack divided 1,826.5 by the number to get a quotient of 18.265, to get the number we will solve the equation;

1,826.5/x = 18.265

Cross multiply

1826.5 = 18.265x

Divide both sides by 18.265

18.265x = 1826.5

18.265x/18.625 = 1826.5/18.625

x =  100

Hence Jack divide 1,826.5 by 100 to get a quotient of 18.265

3 0
3 years ago
state whether the slope of a line passing through (2, -3) and (1, 8) is positive, negative, zero or undefined.
Natalija [7]
Slope = change in y / change in x
 
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          =   11 / -1
    
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Slope is negative.
4 0
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Estimate the product or quotient<br><br>4/7×1/6​
vlabodo [156]

Answer:4/5

hope it helps

Step-by-step explanation:

6 0
3 years ago
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