Answer:



Step-by-step explanation:
Mass of particles that a river can transport, 
where:
v = velocity of river flow
When 
then the mass transported, 
<u>When mass is twice:</u>
![v=\sqrt[6]{2}](https://tex.z-dn.net/?f=v%3D%5Csqrt%5B6%5D%7B2%7D)

<u>When mass is 10 times:</u>
![v=\sqrt[6]{10}](https://tex.z-dn.net/?f=v%3D%5Csqrt%5B6%5D%7B10%7D)

<u>When mass is 100 times:</u>
![v=\sqrt[6]{100}](https://tex.z-dn.net/?f=v%3D%5Csqrt%5B6%5D%7B100%7D)

Problem 5
Apply the Law of Sines
s/sin(S) = r/sin(R)
s/sin(78) = 10/sin(48)
s = sin(78)*10/sin(48)
s = 13.162274
<h3>Answer: 13.162274 approximately</h3>
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Problem 6
Use the Law of Sines here as well.
x/sin(X) = y/sin(Y)
x/sin(53) = 6/sin(22)
x = sin(53)*6/sin(22)
x = 12.791588
<h3>Answer: 12.791588 approximately</h3>
You have to watch 30 movies to earn a free movie pass.
Step-by-step explanation:
Given,
Points earned for each movie = 2 points
Current points = 40 points
Free movie pass = 100 points
Let,
x be the number of movies you have to watch.
2*number of movies + current points = 100

Subtracting 40 from both sides

Dividing both sides by 2

You have to watch 30 movies to earn a free movie pass.
Keywords: linear equation, division
Learn more about division at:
#LearnwithBrainly
Since the sample size is less than 30, therefore we use
the t statistic.
Let us define the given variables:
N = sample size = 25
X = average score = 76
s = standard deviation = 12
99% Confidence interval
Degrees of freedom = n – 1 = 24
The formula for confidence interval is given as:
CI = X ± t * s / sqrt N
using the standard distribution table, the t value for DF
= 24 and 99% CI is:
t = 2.492
Therefore calculating the CI using the known values:
CI = 76 ± 2.492 * 12 / sqrt 25
CI = 76 ± 5.98
CI = 70.02, 81.98
Answer: The average score ranges from 70 to 82.