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Mazyrski [523]
4 years ago
10

Solve the following absolute value equation.

Mathematics
1 answer:
Ivanshal [37]4 years ago
7 0

So the equation is 2[x + 1] = 6, right? So you’d solve it as follows:

2[x + 1] = 6

Divide both sides by 2

[x + 1] = 3

Subtract one to get x by itself

[x] = 2

If x is 2, then the absolute value of x is the absolute value of 2. The absolute value of 2 is 2 and -2

X = 2 or -2

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Solve 4x-2(x+1)=3x+10
shusha [124]

4x-2(x+1)=3x+10

4x - 2x - 2 = 3x + 10

2x - 2 = 3x + 10

3x - 2x = -2 - 10

x = - 12

Answer is

-12

4 0
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What are the co-vertices of the following graph?
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Answer:

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Step-by-step explanation:

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A basket contains five apples and seven peaches. You randomly select one piece of fruit and eat it. Then you randomly select ano
IgorC [24]

Answer:

Step-by-step explanation:

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No. Of peaches n(P) = 7

P(A) 1st = n(A)/T = 5/12

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Marine biologists have been studying the effects of acidification of the oceans on weights of male baluga whales in the Arctic O
GalinKa [24]

Answer: a) margin of error = 61.25, b) sample size when margin of error is 45 = 30

Step-by-step explanation:

The formulae to get the margin of error of a confidence interval is given as

Margin of error = critical value * (σ/√n)

Where σ = population standard deviation = 125

n = sample size = 16

Critical value =Zα/2 = 1.96 ( this is so because we are performing a 95% confidence level test then level of significance (α) will be 5% and since our test is of two values, it will be 2 tailed).

Margin of error = 1.96 * (125/√16)

Margin of error = 1.96 * 125/4

Margin of error = 1.96 * 31.25

Margin of error = 61.25

Question b)

Margin of error = 45

Critical value =Zα/2 = 1.96

Population standard deviation = σ = 125

Sample size =n =??

By recalling the formulae

Margin of error = critical value * (σ/√n)

45 = 1.96 * (125/√n)

45 = (1.96 * 125)/√n

45 = 245/√n

45 * √n = 245

√n = 245/ 45

√n = 5.444

n = (5.444)²

n= 29.64 which is approximately 30.

9 0
3 years ago
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