The average rate of change of the function will be 63.
The average rate of change of the function is used to find the slope of the graphed function which can be calculated by the change in y value divided by the change in x value.
The average rate of change of function f(x) in the interval [a,b] can be calculated as avearge rate of change= (f(b)- f(a))/(b-a)
Here given function is g(x) = 7x³-4
which is defined in the interval [-3,3].
So using the defination of the average rate of change, The average rate of change= (g(3)-g(-3))/(3-(-3))
= {(7(3³)-4)-(7*(-3)³-4)}/(3-(-3))
= {(189-4)-(-189-4)}/(3+3)
= (185-(-193))/6
= (185+193)/6
= 378/6
= 63
Therefore the average rate of change of the function will be 63.
Learn more about the average rate of change function
here: brainly.com/question/10208814
#SPJ10
Answer:
x+-12=18 :)
Step-by-step explanation:
I hope this helps!
So, all the possible outcomes are number 1-12.
A ∪ B is a union of A and B, that is all the elements that are either in A, or in B or in both (but then are listed only once).
A means all the even numbers and B means all the number divisible by 3 (so 3,6,9,12). Out of those 6 and 12 are also even, so essentially the answer will be all even numbers plus 3 and 9. So the answer is A. {2, 3, 4, 6, 8, 9, 10, 12}!
When adding or subtracting fractions, there is one big rule: make sure the denominators are the same first!
As long as the denominators (the numbers on the bottom of the fraction) are the same, you can get an answer by adding the numerators (the numbers on top) and keeping the denominator the same.
********Here's an example********
2/3 + 3/3
First, make sure the denominators are the same. Since the number on the bottom of each fraction is the same, namely 3, we can proceed without worry.
Now add the numerators. The numbers on top are 2 and 3. 2 + 3 = 5.
The final answer is 5/3. We added together the numerators to get the top number, and kept the denominator the same for the bottom number.
***************************************
Try adding 3/4 and 4/4 together on your own now before you look ahead.
To get the answer, let's follow the process.
Make sure the denominators match. They do, so we can proceed.
Add the numerators. 3 + 4 = 7.
Keep the denominator the same. The denominator is 4.
Your answer is 7/4!
Do you have any other questions about the process? Was this helpful?
Keep on working! you got this!
Cards are drawn, one at a time, from a standard deck; each card is replaced before the next one is drawn. Let X be the number of draws necessary to get an ace. Find E(X) is given in the following way
Step-by-step explanation:
- From a standard deck of cards, one card is drawn. What is the probability that the card is black and a
jack? P(Black and Jack) P(Black) = 26/52 or ½ , P(Jack) is 4/52 or 1/13 so P(Black and Jack) = ½ * 1/13 = 1/26
- A standard deck of cards is shuffled and one card is drawn. Find the probability that the card is a queen
or an ace.
P(Q or A) = P(Q) = 4/52 or 1/13 + P(A) = 4/52 or 1/13 = 1/13 + 1/13 = 2/13
- WITHOUT REPLACEMENT: If you draw two cards from the deck without replacement, what is the probability that they will both be aces?
P(AA) = (4/52)(3/51) = 1/221.
- WITHOUT REPLACEMENT: What is the probability that the second card will be an ace if the first card is a king?
P(A|K) = 4/51 since there are four aces in the deck but only 51 cards left after the king has been removed.
- WITH REPLACEMENT: Find the probability of drawing three queens in a row, with replacement. We pick a card, write down what it is, then put it back in the deck and draw again. To find the P(QQQ), we find the
probability of drawing the first queen which is 4/52.
- The probability of drawing the second queen is also 4/52 and the third is 4/52.
- We multiply these three individual probabilities together to get P(QQQ) =
- P(Q)P(Q)P(Q) = (4/52)(4/52)(4/52) = .00004 which is very small but not impossible.
- Probability of getting a royal flush = P(10 and Jack and Queen and King and Ace of the same suit)
