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Gala2k [10]
3 years ago
15

How do you solve equations by substitution​

Mathematics
1 answer:
Jet001 [13]3 years ago
4 0

Answer: The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

Step-by-step explanation:

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Find two consecutive even integers such that the sum of the larger and three times the smaller is 234
viva [34]

Represent even numbers as "2n" since each is a multiple of 2.

Represent odd numbers as "2n+1" since each is one more than an even.

-----------------

Your problem:

smaller # : 2n

larger #: 2n+2

-------------------

EQUATION:

2n+2 + 3(2n) = 234

8n = 232

n = 29

---------

smaller = 2*29 = 58

larger = 2n+2 = 60

7 0
4 years ago
A waiter had fifty-seven customers. If twenty-three left, how many customers would the waiter still have?
Sav [38]

Answer:

34

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What’s 1:6 equal too in two ways
IceJOKER [234]

Hey!

------------------------------------------------

Solution:

We can get two different ways of 1:6 by add +1:+6.

1 + 1 = 6 + 6

2:12

2 + 1 = 12 + 6

3:18

------------------------------------------------

Answer:

2:12 and 3:18

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Hope This Helped! Good Luck!

7 0
3 years ago
What is 0.019 written as a percent?<br><br> A. 0.00019% <br> B. 0.019%<br> C. 0.19% <br> D. 1.9%
Lesechka [4]
The correct option is d
7 0
3 years ago
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Which of the following Chi-Square tests can be used to determine if a data set follows a Normal distribution?
shepuryov [24]

Answer:

Answer = d. Chi-Square Goodness of Fit

Step-by-step explanation:

A decision maker may need to understand whether an actual sample distribution matches with a known theoretical probability distribution such as Normal distribution and so on. The Goodness-of-fit Test is a type of Chi-Square test that can be used to determine if a data set follows a Normal distribution and how well it fits the distribution. The Chi-Square test for Goodness-of-fit enables us to determine the extent to which theoretical probability distributions coincide with empirical sample distribution. To apply the test, a particular theoretical distribution is first hypothesized for a given population and then the test is carried out to determine whether or not the sample data could have come from the population of interest with hypothesized theoretical distribution. The observed frequencies or values come from the sample and the expected frequencies or values come from the theoretical hypothesized probability distribution. The Goodness-of-fit now focuses on the differences between the observed values and the expected values. Large differences between the two distributions throw doubt on the assumption that the hypothesized theoretical distribution is correct and small differences between the two distributions may be assumed to be resulting from sampling error.

6 0
3 years ago
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