I just need help with this :)
2 answers:
Answer: x = 13°
<u>Step-by-step explanation:</u>
You can use the big triangle or the small triangle.<em> I chose to use the small triangle.</em>
There are three angles in the small triangle:
- 85 (vertical angle with 85) - green color on attachment
- 82 (supplementary with 98) - purple color
- x (unknown)
We can use the Triangle Sum Theorem to solve for x:
85 + 82 + x = 180
167 + x = 180
x = 13
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Answer:
The 99% confidence interval of the population standard deviation is 1.7047 < σ < 7.485
Step-by-step explanation:
Confidence interval of standard deviation is given as follows;
s =
Where:
= Sample mean
s = Sample standard deviation
n = Sample size = 7
χ = Chi squared value at the given confidence level
= ∑x/n = (62 + 58 + 58 + 56 + 60 +53 + 58)/7 = 57.857
The sample standard deviation s = = 2.854
The test statistic, derived through computation, = ±3.707
Which gives;
1.7047 < σ < 7.485
The 99% confidence interval of the population standard deviation = 1.7047 < σ < 7.485.
Given :
Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.
He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.
To Find :
Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.
Solution :
Let, after x years Abraham visited y countries.
It is mathematically given as :
Now, it is given that his goal is minimum of 50 countries.
So,
Therefore, minimum years required to meet his goals are 8.
Hence, this is the required solution.