Answer:
The average rate of change of the function over the interval is 5.
Step-by-step explanation:
Average rate of change of a function:
The average rate of change of a function f(x) over an interval [a,b] is given by:
Interval -3 less-than-or-equal-to x less-than-or-equal-to 3
This means that 
So
Average rate of change
The average rate of change of the function over the interval is 5.
Answer:
A. -12 meters
B. 28 meters
C. 40 meters
Step-by-step explanation:
The surface of the ocean would be 0.
Taking this into account, 12 meters below would be 0 - 12, which is -12. Therefore A's elevation would be -12.
For the sea bird, 28 meters above the surface, which is again 0, would be 0 + 28. B's elevation is 28.
Since the fish is 12 meters below the surface and the sea bird is 28 meters above the surface, simply add the two numbers up to get a total of 40 meters. C would be 40 meters.
If the roots to such a polynomial are 2 and
, then we can write it as
courtesy of the fundamental theorem of algebra. Now expanding yields
which would be the correct answer, but clearly this option is not listed. Which is silly, because none of the offered solutions are *the* polynomial of lowest degree and leading coefficient 1.
So this makes me think you're expected to increase the multiplicity of one of the given roots, or you're expected to pull another root out of thin air. Judging by the choices, I think it's the latter, and that you're somehow supposed to know to use
as a root. In this case, that would make our polynomial
so that the answer is (probably) the third choice.
Whoever originally wrote this question should reevaluate their word choice...
Answer:
probability that both passes a defective item is 0.8742
<h3>
Step-by-step explanation:</h3>
probability that the first inspector misses is Pr( 1st misses)= 0.06
therefore the probability he does not miss is
Pr(1st passes)= 1 - Pr( 1st misses) = 1 - 0.06 = 0.94
probability that the second misses is Pr( 2nd misses) = 0.07
therefore probability that 2nd does not miss is
Pr( 2nd passes) = 1- Pr( 2nd misses) = 0.93
probability that both passes a defective item is Pr(1st passes)*Pr( 2nd passes)
= 0.93*0.94 = 0.8742
