Answer:
Great work!
Step-by-step explanation:
These kind of questions are calculated through Riemann Sum. You can evaluate any definite integral using the Riemann Sum. It should be in the following form:
f(x)dx on the interval [a, b], or
Now f(x) is simply y. Therefore in this example y = x^3 - 6x. We just need the sufficient amount of data to apply the Riemann Sum, including the interval [a, b] that bounds the area, and the the number of rectangles 'n' that we need to use.
Consider an easier approach to this question: (First attachment)
Graph: (Second Attachment)
Answer:
a) 1/27
b) 2/91
Step-by-step explanation:
A bag contains 10 red marbles and 5 blue marbles (15 marbles in total). You randomly select 3 marbles from the bag.
a) You replace each marble before selecting the next one.
The probability of selecting one blue marble is
then the probability that all 3 marbles are blue is
b) You do not replace each marble before selecting the next one. Each time the number of blue marbles decreases by 1 and the total number of marbles decreases by 1 too. So the probability that all 3 marbles are blue is
Answer:
Yes
Step-by-step explanation:
3 x 48 = 144
4 x 36 = 144
They are equal.
Answer:
<u>True</u>!
Step-by-step explanation:
Congruent is having the same shape and etc. as the mirrored figure.
If the total area of a dartboard 30 000 mm² and the area of the target is 700 mm²
The probability of obtaining a target can be written as:
P = 700 mm² / 30 000 mm²
P = 0.0233
P = 2.3%
Therefore the correct answer is option B.
This, assuming the shooter has no experience and rolls the dart randomly within the dartboard area.
