Factor the expression below.
2 answers:
You might be interested in
Answer:
The probability that the first two electric toothbrushes sold are defective is 0.016.
Step-by-step explanation:
The probability of an event, say <em>E </em>occurring is:
Here,
n (E) = favorable outcomes
N = total number of outcomes
Let <em>X</em> = number of defective electric toothbrushes sold.
The number of electric toothbrushes that were delivered to a store is, <em>n</em> = 20.
Number of defective electric toothbrushes is, <em>x</em> = 3.
The number of ways to select two toothbrushes to sell from the 20 toothbrushes is:
The number of ways to select two defective toothbrushes to sell from the 3 defective toothbrushes is:
Compute the probability that the first two electric toothbrushes sold are defective as follows:
P (Selling 2 defective toothbrushes) = Favorable outcomes ÷ Total no. of outcomes
Thus, the probability that the first two electric toothbrushes sold are defective is 0.016.
Answer:
The instantaneous rate of change of with respect to
at the value
is 18.
Step-by-step explanation:
a) Geometrically speaking, the average rate of change of with respect to
over the interval by definition of secant line:
(1)
Where:
,
- Lower and upper bounds of the interval.
,
- Function exaluated at lower and upper bounds of the interval.
If we know that ,
and
, then the average rate of change of
with respect to
over the interval is:
The average rate of change of with respect to
over the interval
is 27.
b) The instantaneous rate of change can be determined by the following definition:
(2)
Where:
- Change rate.
,
- Function evaluated at
and
.
If we know that and
, then the instantaneous rate of change of
with respect to
is:
The instantaneous rate of change of with respect to
at the value
is 18.