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kramer
3 years ago
11

Solve for n: 21k – 3n + 9p > 3p + 12.

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
3 0
Solve for n.

21k−3n+9p>3p+12

Add -21k to both sides.

21k−3n+9p+−21k>3p+12+−21k

−3n+9p>−21k+3p+12

Add -9p to both sides.

−3n+9p+−9p>−21k+3p+12+−9p

−3n>−21k−6p+12

Divide both sides by -3.

−3n/−3    >  −21k−6p+12/−3

n < 7k+2p−4

\huge{\boxed{\boxed{\boxed{\boxed{\hbox{So your answer is B.}}}}}}

Thepotemich [5.8K]3 years ago
3 0

solve for n.21k−3n+9p>3p+12Add -21k to both sides.21k−3n+9p+−21k>3p+12+−21k−3n+9p>−21k+3p+12Add -9p to both sides.−3n+9p+−9p>−21k+3p+12+−9p−3n>−21k−6p+12Divide both sides by -3.−3n/−3    >  −21k−6p+12/−3n < 7k+2p−4

ANSWER IS B

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Explain why y +1 = 1.2(x + 2) and y- 5 = 1.2(x – 3) represent the same line, despite having
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(3 marks) A certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year. The battery live
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0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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A certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year

This means that \mu = 3, \sigma = 0.5

What is the probability that a given battery will last between 2.3 and 3.6 years?

This is the p-value of Z when X = 3.6 subtracted by the p-value of Z when X = 2.3. So

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Z = \frac{X - \mu}{\sigma}

Z = \frac{3.6 - 3}{0.5}

Z = 1.2

Z = 1.2 has a p-value of 0.8849

X = 2.3

Z = \frac{X - \mu}{\sigma}

Z = \frac{2.3 - 3}{0.5}

Z = -1.4

Z = -1.4 has a p-value of 0.0808

0.8849 - 0.0808 = 0.8041

0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years

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2 years ago
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