Answer:
Independent events, 1/16
Step-by-step explanation:
What we must take into account is that they are 2 different bags, because in one bag are the black pieces and in another bag are the white feed, regardless of which piece is removed, one event has nothing to do with the other event being different bags.
Which means that they are independent events.
And the probability for each case would be 1/16, because the probability is one piece out of 16 that is in each bag.
Answer:
5 minutes
Step-by-step explanation:
it dives at positive 18 feet in a minute
however in order to dive at -54 feet, it must dive -5 times
18-18-18-18-18= -54
and 1min =18feet
so it needs 5minutes for the 5times
OR
Let x=the time needed to dive at -54 feet's
so 1min=18
x= -54
-54=18x
dividing both sides by 18
-54/18=18x/18
x=-54/18
x=-5
however time cannot be negative
therefore x =5
this implies that the penguin dives at -54 feet in 5 minutes.
Using the profit concept, we have that:
- The expression is: P(x) = -0.5x² + 40x - 300.
- A profit of $300 is found with x = 20 and x = 60.
<h3>What is the profit concept?</h3>
Profit is given by <u>revenue subtracted by costs</u>.
In this problem, we have that:
- The revenue is: R(x) = 90x - 0.5x².
- The costs are: C(x) = 50x + 300.
Hence the expression for the profit is given as follows:
P(x) = R(x) - C(x)
P(x) = 90x - 0.5x² - 50x - 300
P(x) = -0.5x² + 40x - 300.
A profit of $300 is found when P(x) = 300, hence:
300 = -0.5x² + 40x - 300
0.5x² - 40x + 600 = 0.
x² - 80x + 1200 = 0.
(x - 60)(x - 20) = 0.
Hence the values are:
More can be learned about the profit concept at brainly.com/question/4001746
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1. The best way that we can represent the condo that Claire bought is by option B.
<h3>How to determine the function</h3>
To determine the function, we would have to do so by making use of the given equation that we have here.
This is given as
Ct =
Where a is the principal
r is the rate of interest and
t is the time
2. we have 70 = 30(1.03)^t
70/30 = (1.03)^t
We have to take the log of the function above in order to find the value of t
t = 28.665
This is approximated to 29
Hence the answer here is option A after 29 weeks.
Read more on interest rate here: brainly.com/question/2294792
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