Answer:
numerator degree of freedom = 3
Denominator degree of freedom = 47
Step-by-step explanation:
The numerator degree of freedom is given by :
p - 1 ; where p = number of predictors ;
p = number of independent variables + 1
Number of independent variables = 3
p = 3 + 1 = 4
Numerator degree of freedom = p - 1 = 4 - 1 = 3
The denominator degree of freedom = n - p ; where n = number of observations
Number of observations, n = 51
Denominator degree of freedom = n - p = 51 - 4 = 47
The value of a is 72.74.
<h3>What is Probability ?</h3>
Probability is the study of likeliness of an event to happen.
It is given that
The mean
of the distribution is 70
Standard deviation
is 2
p( x<a) = 0.9147
a = ?
From Z table
For p ( p < 0.9147) , z = 1.37


a = 70+ 2*1.37
a = 72.74
Therefore the value of a is 72.74.
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Answer:
42
Step-by-step explanation:
The figure is broken into different shapes so you find the area of each shape shown and add them up!
Step one: find the area of the triangle. 1/2*base*height* The base is 3 and the height is 4. it will be 6. This applies to the second triangle on the bottom as well. The total of both triangle is 12.
Step two: find the area of the rectangle.base*height. All you have to do is 10*3 which is 30.
Step three: now add up all the areas you got. 30+12. which is 42.
hope this helps :)
Answer: 
Step-by-step explanation:
Since, According to the question,
The chance of finding a bug in a program = 18%
Thus, the probability of finding the bug in first attempt = 
⇒ The probability of not finding any bug in first attempt = 
Similarly, in second attempt , third attempt, fourth attempt_ _ _ _ _ tenth attempt, the probability of not finding any bug is also equal to 
Thus, the probability that she does not find a bug within the first 10 programs she examines
= 
= 
First find the length of the side by taking the square root of 112.
There are 4 sides so multiply your answer by 4 to get the perimeter.
The answer is 42.332 which rounds to 42.