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Vanyuwa [196]
3 years ago
11

Solve the linear system by using Substitution. Enter your answer as an ordered pair.

Mathematics
2 answers:
MAXImum [283]3 years ago
7 0

Answer: {y,x} = {4,2} ) ) ) )4

Step-by-step explanation: y

[2] y = -2x + 8

// Plug this in for variable y in equation [1]

[1] (-2x+8) - x = 2

[1] - 3x = -6

// Solve equation [1] for the variable x

[1] 3x = 6

[1] x = 2

// By now we know this much :

y = -2x+8

x = 2

// Use the x value to solve for y

y = -2(2)+8 = 4

Solution :

{y,x} = {4,2}

HACTEHA [7]3 years ago
6 0
2x+1x+2=8
3x+2=8
-2 -2
3x=6
divide 3 on both sides
x= 2
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Answer:

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4 0
2 years ago
A group of 54 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic
aliya0001 [1]

Answer:

P-value =  0.4846

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 4.73

Sample mean, \bar{x} = 4.35

Sample size, n = 51

Alpha, α = 0.05

Sample standard deviation, s = 3.88

First, we design the null and the alternate hypothesis

H_{0}: \mu = 4.73\\H_A: \mu \neq 4.73

We use Two-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{4.35 - 4.73}{\frac{3.88}{\sqrt{51}} } = -0.699

Now, z_{critical} \text{ at 0.05 level of significance } = \pm 1.96

We can calculate the p-value with the help of standard normal table.

P-value =  0.4846

Since the p-value is higher than the significance level, we fail to reject the null hypothesis and accept it.

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7 0
3 years ago
The sum of three consecutive natural numbers is 540, find the numbers.
vladimir1956 [14]

Answer:

179, 180, 181

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a +a +1 +a +2 =540

3a +3 =540

3a =540 - 3

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a=537 :3

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b=179 +1 =180 (the second number

c=179 +2 =181 (the third number

5 0
3 years ago
What is the factored form of 2x2 − 7x − 15? (2x + 3)(x − 5) (2x + 5)(x − 3) (2x − 7)(x + 8) (2x + 8)(x − 7)
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2x^2 - 7x - 15 =
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3 years ago
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