Answer:
(x + 2)(x² - 2x +4)
Step-by-step explanation:
The sum of cubes factors as ...
(a³ +b³) = (a +b)(a² -ab +b²)
Here, you have a=x, b=2, so the factorization is ...
x³ +8 = (x +2)(x² -2x +4) . . . . . . matches the first selection
Answer:
(a) According to the central limit theorem, the distributions of the sample means of sufficiently large samples randomly selected from a population with mean, μ and standard deviation, σ with replacement will be normally distributed
Therefore, given that the size of the population from which the samples were selected (34 petri dishes) is comparable the sizes of the samples, (16 and 18), therefore, the samples are approximately normal
Also given that the petri dishes were prepared with growth medium designed to increase the growth of microorganisms, with an expected amount of growth, the samples therefore came from approximately normal distributions
Step-by-step explanation:
Answer:
A. Tickets sold
The table says nothing about the scariest movie, the favorite movie, or the cost of the tickets.
Answer:
Negative correlation.
Step-by-step explanation:
Negative correlation means that as x increases, y decreases
Positive correlation means that as x increases, y also increases.
No correlation means that neither of the two above cases happens.
In the graph, we can see that on the right (when x is negative) the general y values are larger.
As x increases, the y-values decrease.
(Particularly, we could adjust these data with a linear equation with a negative slope)
Then this is a negative correlation.
<span>3/28 exactly, or approximately 10.7%
Since we're drawing without replacement, let's first calculate the probability that the 1st marble is white. There are 3 white marbles out of a total of 8 marbles. So the probability of the 1st marble being white is 3/8.
Now assuming that the first marble picked is white, the probability of the second marble is 2 out of the 7 remaining marbles. So it's probability is 2/7.
This means that the probability of both marbles being white is 3/8 * 2/7 = 6/56 = 3/28, or approximately 10.7%</span>
