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drek231 [11]
3 years ago
6

Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°. Sally's temperature can be described by z = -

1.5. What is her temperature? Round your answer to the nearest hundredth.
Mathematics
2 answers:
STALIN [3.7K]3 years ago
4 0

Answer:

97.27^{o}F

Step-by-step explanation:

We have been given that human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°. Sally's temperature can be described by z = -1.5.

To find Sally's temperature we will use z-score formula.

z=\frac{x-\mu}{\sigma}, where \mu = Mean, \sigma= Standard deviation.

Let us substitute our given values in z-score formula.

-1.5=\frac{x-98.20}{0.62}

Multiply 0.62 to both sides of equation.

0.62\times-1.5=0.62\times \frac{x-98.20}{0.62}

-0.93=x-98.20

Add 98.20 to both sides of equation.

-0.93+98.20=x-98.20+98.20

97.27=x

Therefore, Sally's temperature will be 97.27 degrees Fahrenheit.

vova2212 [387]3 years ago
4 0
Z=\dfrac{X-\mu}\sigma\iff-1.5=\dfrac{X-98.20^\circ}{0.62^\circ}\implies X\approx97.27^\circ
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