Answer:
cansado
Explanation:
If you don't sleep enough at night, you will be very cansado (tired) in the morning.
The function r(t)= 0.5 + t cos(πt³/80) is an illustration of a cosine function
The depth of water in the rain gauge increases by 1.466cm from t = 0 to t = 3
<h3>How to determine the increase in water depth?</h3>
The function is given as:
r(t)= 0.5 + t cos(πt³/80)
When t = 0, the depth of water is:
r(0)= 0.5 + 0 * cos(π *0³/80)
Evaluate
r(0) = 0.5
When t = 3, the depth of water is:
r(3)= 0.5 + 3 * cos(π *3³/80)
Evaluate
r(3)= 1.966
Calculate the difference (d) in the depths
d = r(3) - r(0)
So, we have:
d = 1.966 - 0.5
Evaluate
d = 1.466
Hence, the depth of water in the rain gauge increases by 1.466cm from t = 0 to t = 3
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1. Scientists <u>conjectured</u> that reducing the consumption of substances that emit harmful gases would reduce pollution.
2. Jonathan was irritated by the <u>incessant</u> noise made by the loud musical procession on the street.
3. The poor farmer was in for a pleasant surprise when he <u>fortuitously</u> stumbled upon a pot of gold buried in his yard.
In this exercise, you're required to fill in the gap (blank) in the given sentences with the most appropriate word as follows:
1. Scientists <u>conjectured</u> that reducing the consumption of substances that emit harmful gases would reduce pollution.
- A conjecture is a noun and it can be defined as an opinion or conclusion that is formed without sufficient evidence, fact or proof. Thus, a conjecture is formed on on the basis of an inconclusive or incomplete information.
2. Jonathan was irritated by the <u>incessant</u> noise made by the loud musical procession on the street.
- Incessant is an adjective and it can be defined as an unpleasant thing that happens continuously without interruption. Thus, it is a word that is used to describe something that is ceaseless, unending or happens without stopping.
3. The poor farmer was in for a pleasant surprise when he <u>fortuitously</u> stumbled upon a pot of gold buried in his yard.
- Fortuitously is an adverb and it is used it describe a situation or an event that happened by chance or accidentally rather than happening intentionally.
Read more on fortuitously here: brainly.com/question/2601859
Based on the information given, it should be noted that the probability that the mean value is less will be 0.9863.
<h3>
Solving the probability.</h3>
From the complete information, the mean of the distribution is $403,000 and the standard deviation is $278,000 and the number of houses is 40.
Therefore, the probability that the mean value of the 40 houses is less than 500000 will be:
= P [Z < (500000 - 403000)/43955.66)
= P(Z < 2.2067)
Looking at the z value, this will be 0.9863.
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The white dwarf star compared to the sun is smaller and hotter