Using proportions, it is found that Student 2 is correct, as 37.6/0.1 = 376.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
One tenth is worth 0.1. How many tenths are there in 37.6? The division is given as follows:
37.6/0.1 = 376.
Hence student 2 is correct, as there are 376 tenths in 37.6.
More can be learned about proportions at brainly.com/question/24372153
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The confidence interval for confidence level of
is

where
is the sample mean,
is the critical value for the given confidence level,
is the standard deviation of the population, and
is the sample size. The margin of error is the
term.
a) For a confidence level of
, we have
. So in order to have a margin of error of at most 25 points, we have

so Raina should collect a sample of at least 269 students.
b) A confidence interval with a higher confidence level would more closely approximate and reflect the population, so it stands to reason that Luke should collect a larger sample than Raina to meet his 99% confidence spec.
c) For a confidence level of
, we have
. Then the margin of error would at most satisfy

so that Luke should collect a sample of at least 666 students.
<h3>
Answer:</h3>
- One solution: (x, y) = (2, 0)
- Infinitely many solutions: 2x -5y = 17
<h3>
Step-by-step explanation:</h3>
1. When you put the second equation in standard form, it is ...
... 5x +3y = 10
This is a different equation than the first one, so there will be one solution where the lines interect. (Adding the two equations gives 10x=20 ⇒ x=2. Since adding or subtracting y gives the same result, y must be zero.)
2. When you put the second equation in standard form, it is the same as the first:
... 2x -5y = 17 . . . . . divide the equation by 3
That is, any (x, y) values that satisfy the first equation will also satisfy the second equation (since they are the same). There are an infinite number of (x, y) values that do so.
Answer: 134 miles
Step-by-step explanation:
f(m) = 16.95 + 0.92m
140.23 = 16.95 + 0.92m
0.92m = 140.23 - 16.95
0.92m = 123.28
m = 123.28/0.92
m = 134 miles