Answer:
4.2mm
Step-by-step explanation:
This are two similar triangles.
Comparing the two:
8/3 = (7+x)/x
Cross multiplying
8x = 3 (7+x)
8x = 21 + 3x
8x - 3x = 21
5x = 21
Dividing by 5
X = 21/5
X = 4.2mm
The answer is 2 11/12 because you do 3 1/3 + -2 1/4 which gets you 1 1/2. Then you need to add 1 5/6 to the 1 5/6 to get your answer. So when you add up your answer you get 2 11/12. Hope this helps.
It’s 58 because the length is increasing by 14
Answer:
a) The mean of the probability distribution = 0.6
b) The variance of the probability distribution = 0.3
c) The standard deviation of the probability distribution = 0.5
Step-by-step explanation:
a) Data and Calculations:
number of dogs per household in a small town
Dogs Probability Expected Mean Diff Mean Diff.
Value Squared
0 0.650 0 -0.569 0.32376
1 0.216 0.216 -0.353 0.12461
2 0.087 0.174 -0.395 0.15603
3 0.026 0.078 -0.491 0.24108
4 0.014 0.056 -0.513 0.26317
5 0.009 0.045 -0.524 0.27458
The mean = 0.569 (Sum of expected value)
Variance = mean of squared differences = 0.27665 (1.38323/5)
Standard deviation = square root of variance = 0.526 = 0.5
Answer:
And replacing we got:
Step-by-step explanation:
We can define the random variable X as the thickness of a protective coating applied to a conductor designed to work in corrosive conditions. And the distribution for X is given by:
And we want to find this probability:
And in order to find this probability we can use the cumulative distribution function given by:
And if we use this formula for the probability desired we have:
And replacing we got:
