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3 years ago

Describe in words how the temperature changes with time, where h is hours since midnight. T=50-2h

Mathematics

1 answer:

Westkost [7]3 years ago

6 0

Answer:

Step-by-step explanation:

So we know h is hours, what is T? Obviously temperature. Let's try plugging in a few values. at h=0, or hours since midnight, which is a fancy way of saying midnight, T = 50, so that meeans it starts at 50 degrees. What about at 1 hour after midnight? or h=1 (or 1 AM) well, T = 50-2(1) = 48. so 48 degrees. You can keep doing this, and what happens?

Well T keeps going down by 2 every time h goes up by 1. Well if T is temperature and h is hours since 12 AM we just replace the words. Temperature keeps going down by 2 (degrees) every time hours since midnight goes up by 1. You can probably write that a bit more well worded, but I wanted to show how you can get the answer from seeing what happens to the variables. Though let me know if you don't get it.

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What is x/-3+20=30? Can someone pls help me

VARVARA [1.3K]

Answer:

x=510

Step-by-step explanation:

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3 years ago

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

irina1246 [14]

Answer:

Sally's temperature is 97.27 °F.

Step-by-step explanation:

All the information given in the question tells us that the human body temperatures are normally distributed with a population's mean = 98.20°F and a standard deviation = 0.62°F.

The question gives us Sally's temperature in a z-score. We have to remember that the standard normal distribution is a particular case of a normal distribution where the mean = 0 and the standard deviation = 1.

Using the standard normal distribution, we can determine every probability associated with a normal distribution "transforming" the raw scores, coming from normally distributed data, into z-scores.

A z-score gives us the distance from the population's mean and is in standard deviation units. So, a z = 1.5 tells us that the value is 1.5 standard deviations above the mean. Conversely, a z = -1.5 tells us that the raw score is also 1.5 standard deviation from the mean, but in the opposite direction, that is, below the mean.

The formula for a z-score is as follows:

$\\ z = \frac{x - \mu}{\sigma}$ (1)

Where

$\\ x\;is\;the\;raw\;score$ .

$\\ \mu\;is\;the\;population\;mean$ .

$\\ \sigma\;is\;the\;population\;standard\;deviation$ .

Then to find x (or the raw score, that is, Sally's temperature), we need to solve the formula (1) for it to finally solve the question.

Then

$\\ \mu = 98.20^\circF$ °F

$\\ \sigma = 0.62^\circF$ °F

$\\ z = -1.5$

Thus (with no units)

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

$\\ (-1.5*0.62) = x - 98.20$

$\\ (-1.5*0.62) + 98.20 = x$

$\\ x = (-1.5*0.62) + 98.20$

$\\ -0.93 + 98.20$

$\\ x = 97.27$ °F

Thus, Sally's temperature is $\\ x = 97.27$ °F (rounding the answer to the nearest hundredth).

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3 years ago

Describe in words how the temperature changes with time, where h is hours since midnight. T=50-2h​

Describe in words how the temperature changes with time, where h is hours since midnight. T=50-2h