Answer:
linear decreasing
explanation:
the line is straight so its decreasing at a LINEAR rate, and the line is going down so its DECREASING. Hope that helps have a nice day
Answer:
a ) See Annex
b) P₁ = 0,0464 or P₁ = 4,64 %
c) P₄ = 0,92 or P₄ = 92 %
Step-by-step explanation:
b) P₁ [ X being defective ] = P₂ + P₃
Where P₂ is the probability of X rays machine detects a weld defective and the weld is really defective
And P₃ is the probability of X rays machine detects a weld defective and the weld is not defective
Then
P₂ = 0,04 * 0,92 = 0,0368
P₃ = 0,96 * 0,01 = 0,0096
Then P₁ = 0,0368 + 0,0096
P₁ = 0,0464 or P₁ = 4,64 %
c) P₄ = 0,04 *0,92
P₄ = 0,92 or P₄ = 92 %
so it'd be the first, third and fourth one. all you gotta do is draw a vertical line through the middle of the 1st, 3rd and 4th.
Answer:
yes
Step-by-step explanation:
the FIRST derivative of a function tells us the slope of a tangent line to the curve at any point. if is positive, then the curve must be increasing. If is negative, then the curve must be decreasing.
the SECOND derivative gives us the slope of the slope function (in other words how fast the slope of the original function changes, and if it is accelerating up - positive - or if it is avengers down - negative).
so, the first derivative would be fully sufficient to get the answer of if the slope of the function at that point is positive or negative.
but because it is only a "if" condition and not a "if and only if" condition, the statement is still true.
there are enough cases, where the slope is positive, but the second derivative is not > 0 (usually = 0).
but if even the second derivative is positive, then, yes, the slope of the original function must be positive too.
