Answer:
The distribution of average life time is approximately normallyl distributed with mean 20 hours and standard deviation of 0.4743 hours
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem
The distribution of average life time is approximately normallyl distributed with mean 20 hours and standard deviation of 0.4743 hours
Answer:
-3/22
Step-by-step explanation:
To find the resultant vector you need to add the horizontal and vertical components of each individual vector.
Cosine for horizontal, Sine for vertical.
Where |v| is magnitude or length of vector.
Lets look at first ranger station. First vector has magnitude 4.5 with angle of 90.
Next has magnitude of 8.1 with angle of 125.
Find magnitude:
Do the same with 2nd ranger station:
Therefore the 2nd ranger station is closest to starting point.
From the graph, we see that two similar triangles are created by using the slope of the line.
• Because the two triangles appear to have congruent angles and proportional side lengths, we can conclude with the information we have that the two triangles are indeed similar. They are the same shape but proportional with congruent angles.
• Therefore, a/b = c/d because the scale factor remains the same of both ratios.
•We can also see that in larger triangle, the slope = 3/6 and the slope of the smaller one = 2/4. 3/6 = 2/4 because 3/6 = 1/2 and 2/4 = 1/2. Therefore, the slopes are proportional and equal.
• Because the slopes are proportional and the triangles are proportional, the a/b = c/d.
Answer:
(f+g)(x) = 5^x+5x-6
Step-by-step explanation:
f(x)=5^x+2x
g(x)=3x-6
(f+g)(x) = 5^x+2x+3x-6
Combine like terms
(f+g)(x) = 5^x+5x-6
