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irga5000 [103]
3 years ago
14

Solve the linear equation. 8x 32=1/5(25x−15)−4x. for x.

Mathematics
1 answer:
Dahasolnce [82]3 years ago
6 0

There is no sign before 32 is given in the equation. I am showing the work with +32.

8x+32=1/5(25x−15)−4x.

8x+32=5x-3-4x By distribution property.

8x+32=x-3 Combine the like terms.

8x=x-3-32 Subtract 32 from each sides.

8x=x-35 Combine the like terms.

8x-x=-35 Subtract x from each sides.

7x=-35

\frac{7x}{7} =-\frac{35}{7} Divide each sides by 7.

So, x=-5

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Read 2 more answers
The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mea
zheka24 [161]

Answer:

$301 - $397

Step-by-step explanation:

Using the Empirical rule

1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

From the above question,

Mean = 349 , standard deviation = 24.

Confidence interval = 95%

Using 2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

μ – 2σ

= 349 - 2(24)

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μ + 2σ

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= 349 + 48

= 397

Therefore, according to the standard deviation rule, approximately 95% of the students spent between $301 and $397 on textbooks in a semester.

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