Answer:
Step-by-step explanation:
Total number of marbles = 5 + 2 + 3 = 10
Probability of choosing 1 green marble = 2/10
Probability of choosing 1 yellow marble = 3/10
Notice (and this is important) that the denominator didn't change. Why?
Because you replaced the first marble into the bag. That word replacement is critical in a problem of this nature. There is the term non replacement which means that the second draw would have a denominator of 9.
So what is the probability of P(green then yellow)?
P(green then yellow) = 3/10 * 2/10 = 6/100
Answer: P(green then yellow) = 3/50 because 6 / 100 reduces.
Answer:
$132.63
Step-by-step explanation:
$49.13 - ($32.50 × 2)
$49.13 - $65 = $-15.87
$-15.87 + ($74.25 × 2)
$-15.87 + $148.50
=$132.63
Since the surface is the top part of a sphere centred on the origin, the directions of steepest descent are any vector originating from the origin (0,0).
At (5,5), the direction would be dictated by the line joining (5,5) and the origin (0,0), i.e. along <5,5> or equivalently along <1,1>.
You can also go through vector calculus to arrive at the same result.
Answer:
1/15
Step-by-step explanation:
4 × 1/6 × 1/10
reduce the numbers :
1/3 × 1/5
now multiplique the fractions
=1/15