The equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.
According to the question,
We have the following information:
We have two lines that are intersecting each other at a point. The angles made on this point are given.
Now, we know that these two angles are vertically opposite angles. And we also know that vertically opposite angles are equal.
So, we will have the following equation:
3x-1 = 140
Now, we can easily find the value of x from this equation:
Adding 1 on both sides of the equation:
3x = 140+1
3x = 141
Dividing by 3 on both sides:
x = 141/3
x = 47°
Hence, the equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.
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Answer:
(c)approximately Normal, mean 112, standard deviation 1.414.
Step-by-step explanation:
To solve this problem, we have to understand the Central Limit Theorem
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
.
In this problem, we have that:

Using the Central Limit Theorem
The distribution of the sample mean IQ is approximately Normal.
With mean 112
With standard deviation 
So the correct answer is:
(c)approximately Normal, mean 112, standard deviation 1.414.
265 x 0.06 = 15.9
265 - 15.9 = 249.1
249.1 is your answer
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Answer:
Step-by-step explanation:
h and p are the number of history and psych textbooks, respectively.
store sold a total of 411 textbooks in a week.
h + p = 411
The number of history textbooks sold was 69 less than the number of psychology textbooks sold.
h = p - 69
Substitution
(p-69) + p = 411
2p = 411+69
p = 240
h = p-69 = 171
171 history books and 250 psych books
Answer:
volume = 1583.36 rounded to the nearest tenth is 158.4
Step-by-step explanation:
V = π * r^2 * v = π · 6^2 · 14 ≈ 1583.3627
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