Answer:
Correct option is C
Step-by-step explanation:
First, find the equation of the boundary line. This line passes through the points (0,-3) and (-2,1). Then it has equation
In the attached diagram this boundary line is solid, then the sign of the inequality should be with "or equal to" notion (≤ or ≥). Thus, options A and B are false.
The line divides the coordinate plane into two parts and you have to determine which part to choose. The origin does not lie in the shaded region, then its coordinates cannot satisfy the inequality. Check options C and D.
- origin does not satisfy (option C is correct);
- origin satisfies (option D is false).
The standard deviation is 1.43 below the mean
<h3>How to determine the number of standard deviation?</h3>
The given parameters are:
Mean = 98.249
Standard deviation = 0.733
x = 97.2
To calculate the number of standard deviation below the mean, we use
So, we have:
Evaluate the like terms
Divide both sides by -0.733
n =1.43
Hence, the standard deviation is 1.43 below the mean
Read more about standard deviation at:
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Answer:
x = 9
Step-by-step explanation:
The big triangle is similar to smaller one so we can use the side lengths' proportion to find x:
7/4 = (x-3)+8/8
7/4 = (x+5)/8 cross multiply expressions
56 = 4x + 20 subtract 20 from both sides
36 = 4x divide both sides by 4
9 = x
Answer:
b = - 0.432
Step-by-step explanation:
It takes 200 seconds to produce the first widget. And by the 400th widget, it takes only 15 seconds.
Now, the formula that gives the time to make the nth widget is given by
and we have to evaluate the constant b from the above-given conditions.
So, 
⇒ 
Taking log on both sides
b log (400) = log (0.075)
⇒ b = - 0.432 (Answer)
