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Fantom [35]
2 years ago
5

Let's say that the turkey sat on the counter for an additional hour (beyond the 390 minutes) and its temperature cooled to 80 de

grees. Write that value in function notation

Mathematics
1 answer:
skad [1K]2 years ago
3 0

The value of the temperature in function notation is gotten as; f(x) = 91 - 11x

<h3>How to write a function Notation?</h3>

Let us first find the relationship between temperature and how long the turkey sits out.

The temperature after the normal 390 minutes  is equal to approximately 6.5 hours.

Let us create a ratio and solve for x, which represents the temperature change during that extra hour after the "normal time sitting out".

Thus;

(7.5/6.5) = (80/80+ x)

Solving for x gives x = -10.7.

This means that for every extra hour it sits out, the turkey cools approximately 11°. When we add that to 80°, we have 91° which is the expected temperature after 390 minutes (6.5 hours) of sitting out.

Thus, the motion as a function of time is;

f(x) = 91 - 11x

Read more about Function Notation at; brainly.com/question/27834526

#SPJ1

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In a random sample of 200 engineers, 137 have a master's degree. what is the sample proportion, p-hat, of engineers who have mas
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The sample proportion, p-hat, of engineers who have master's degrees is   68.5% out of 200 engineers.

p-hat proportion:

In this proportion,  "p" denotes the probability of a certain event occurring or a certain parameter being true for a certain population, but when a population is large, it may be impractical or impossible to measure it directly. So, we have used the proportion for that cases.

The general form for calculating p-hat proportion is,

\hat{p}=\frac{x}{y}

where

x  is the number of successes in the sample, and

y is the size of the sample.

Given,

In a random sample of 200 engineers, 137 have a master's degree.

Here we need to find the the sample proportion, p-hat, of engineers who have master's degrees

According to the question,

x = 137 (number of successes in the sample)

and y = 200 (size of the sample)

Now apply the value on the formula then we get,

\hat{p}=\frac{137}{200}

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Therefore, the sample proportion, p-hat, of engineers who have master's degrees is 68.5% out of 200 engineers.

To know more about p-hat proportion here

brainly.com/question/1597320

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