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Answer:
Train A = 299 tons Train B = 50 tons
Step-by-step explanation:
Train A = x
Train B = y
x+y = 349
x= y +249
Plug in one equation into another
y+249+y= 349
Simplify
2y+249=349
Subtract 249 from both sides
2y=100
Divide both sides by 2
y=50
Plug it into the x equation to solve for x
x+50=349
-50 from both sides
x=299
Step-by-step explanation:
Since the sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 1/3
d = 1/2 - 1/3 = 1/6 or 2/3 - 1/2 = 1/6
Substitute the values into the above formula
That's
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So the nth term of the sequence is
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For a50 since we are finding the 50th term
n = 50
So we have
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We have the final answer as
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Hope this helps you
Answer:
The right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees... The two sides of the triangle that are by the right angle are called the legs... and the side opposite of the right angle is called the hypotenuse.
Step-by-step explanation:
Answer:
68% of the incomes lie between $36,400 and $38,000.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $37,200
Standard Deviation, σ = $800
We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.
Empirical rule:
- Almost all the data lies within three standard deviation of mean for a normally distributed data.
- About 68% of data lies within one standard deviation of mean.
- About 95% of data lies within two standard deviation of mean.
- About 99.7% of data lies within three standard deviation of mean.
Thus, 68% of data lies within one standard deviation.

Thus, 68% of the incomes lie between $36,400 and $38,000.