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mel-nik [20]
2 years ago
9

C equals 5/9 F32 the nearest whole degree what is the temperature in the degrees Fahrenheit when it is 90 degrees Celsius

Mathematics
1 answer:
Paraphin [41]2 years ago
5 0
C=\dfrac{5}{9}(F-32)\\\\C=90\to 90=\dfrac{5}{9}(F-32)\ \ \ |\cdot\dfrac{9}{5}\\\\F-32=162\ \ \ |+32\\\\F=194\\\\\boxed{90^oC=194^oF\to D}
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Step-by-step explanation:

Normal Probability Distribution

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

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

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

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X - 1262 = -0.643*118

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(b) Determine the number of chocolate chips in a bag that make up the middle 95% of bags.

Between the 50 - (95/2) = 2.5th percentile and the 50 + (95/2) = 97.5th percentile.

2.5th percentile:

X when Z has a p-value of 0.025, so X when Z = -1.96.

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

-1.96 = \frac{X - 1262}{118}

X - 1262 = -1.96*118

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X when Z has a p-value of 0.975, so X when Z = 1.96.

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

1.96 = \frac{X - 1262}{118}

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​(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate chip​ cookies?

Difference between the 75th percentile and the 25th percentile.

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X when Z has a p-value of 0.75, so X when Z = 0.675.

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

0.675 = \frac{X - 1262}{118}

X - 1262 = 0.675*118

X = 1342

IQR:

1342 - 1182 = 160

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