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mote1985 [20]
3 years ago
9

A heated piece of metal cools according to the function c(x) = (.5)x − 10, where x is measured in hours. A device is added that

aids in cooling according to the function h(x) = −x − 1. What will be the temperature of the metal after five hours?
−6° Celsius

26° Celsius

32° Celsius

38° Celsius
Mathematics
1 answer:
Kobotan [32]3 years ago
5 0
The question is asking to choose among the following choices that states the temperature of the metal after five hours, and base on my research and further calculation, the possible answer among the following is 26 degree. I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarifications
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In a standard deck of cards, what is the theoretical probability of drawing a diamond?
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1 in 4

4 suits, each with the same number of cards. 1/4 of the cards are diamonds, so theres a 1 in 4 chance of drawing one.

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3 years ago
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In a survey, 27 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped
tatiyna

Answer: (29.4, 32.6)

Step-by-step explanation:

From the question, we know that

Sample size (n) = 27

Sample mean (x) = $31

Sample standard deviation (s) = $3

We are to construct a 99% confidence interval interval for average amount spent on gift.

The formulae for constructing a 99% confidence interval for population mean is given as

u = x + tα/2 × s/√n...... For upper limit

u = x - tα/2 × s/√n...... For lower limit

tα/2 is the critical value for a 2 tailed test. This value of gotten from a t distribution table by checking the degree of freedom ( 27 - 1 = 26) against the level of significance ( 100% - 99% = 1%).

Hence tα/2 = 2.779

Let us substitute our parameters and solve

For lower limit

u = 31 - 2.779 × 3/√27

u = 31 - 2.779 ( 0.5773)

u = 31 - 1.6045

u = 29.4

For upper limit

u = 31 + 2.779 × 3/√27

u = 31 + 2.779 ( 0.5773)

u = 31 + 1.6045

u = 32.6

Hence the 99% confidence interval for population mean is given as 29.4, 32.6

6 0
3 years ago
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Hi<br><img src="https://tex.z-dn.net/?f=789456123%20%5Cdiv%20321654987" id="TexFormula1" title="789456123 \div 321654987" alt="7
denpristay [2]

Answer:

≈2.45436

Step-by-step explanation:

I typed it in my calculator.

6 0
3 years ago
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