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yanalaym [24]
3 years ago
7

How to solve 5x+8y=14 And 4x=24 by substitution

Mathematics
1 answer:
Virty [35]3 years ago
3 0
5x+8y=14 \\ 4x=24 \\ \\ \hbox{solve the 2nd equation for x:} \\ 4x=24 \\
x=6 \\ \\
\hbox{substitute 6 for x in the 1st equation:} \\
5 \times 6+8y=14 \\
30+8y=14 \\
8y=14-30 \\
8y=-16 \\
y=-2 \\ \\ \hbox{the answer:} \\ x=6 \\ y=-2
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The feet of the average adult woman are 24.6 cm long, and foot lengths are normally distributed. If 16% of adult women have feet
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Answer:

Approximately 16% of adult women have feet longer than 27.2 cm.

Step-by-step explanation:

Normal Probability Distribution

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

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This means that \mu = 24.6

16% of adult women have feet that are shorter than 22 cm

This means that when X = 22, Z has a p-value of 0.16, so when X = 22, Z = -1. We use this to find \sigma

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Approximately what percent of adult women have feet longer than 27.2 cm?

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

Z = \frac{27.2 - 24.6}{2.6}

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Z = 1 has a p-value of 0.84.

1 - 0.84 = 0.16

0.16*100% = 16%.

Approximately 16% of adult women have feet longer than 27.2 cm.

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