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Alex Ar [27]
3 years ago
15

How do you solve the system of linear equations for this problem: (2.1x+4.2y=14.7) & (-5.7x-1.9y=-11.4)

Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0
2.1x + 4.2y = 14.7 is the same as x + 2y = 7 (divide both sides by 2.1)
-5.7x-1.9y=-11.4 is the same as 3x + y = 6 (divide both sides by -1.9)

Rearrange the first equation to get x = 7 - 2y and substitute into the second equation, 3(7 - 2y) + y = 6, 21 - 6y + y = 6, 5y = 15, y = 3

Substitute y = 3 into the first equation x + 2(3) = 7, x = 1

x = 1 and y = 3
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dsp73

Answer:

It will take 48 minutes to water all parts of her lawn.

Step-by-step explanation:

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3 years ago
Then, answer Part B. A number cube that has sides numbered 1 through 6 is rolled 180 times. Part A How many times would you expe
Nitella [24]

Using the binomial distribution, it is found that the expected values are given by:

a) 120.

b) 150.

<h3>What is the binomial probability distribution?</h3>

It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.

Item a:

4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.

The expected value is given by:
E(X) = 180 x 2/3 = 120.

Item b:

5 of the 6 values are less than 6, hence p = 5/6.

The expected value is given by:
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More can be learned about the binomial distribution at brainly.com/question/24863377

4 0
2 years ago
Convert the angle θ=180​∘ to radians.
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Answer:

pi

Step-by-step explanation:

To convert from degrees to radians, we multiply by pi/180

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3 0
3 years ago
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