Part A
Use the binomial probability distribution formula.
p = 0.54 = probability of getting a purple marble
n = 5 = sample size
x = 2 = number of purple we want to get
The 
portion is from the nCr combination formula. The exclamation marks indicate a factorial.
Alternatively, you could use Pascal's Triangle for that portion.
<h3>Answer: 0.283831776</h3>
This decimal value is exact. Round it however you need to.
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Part B
To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.
n*p = 5*0.54 = 2.7
<h3>Answer: 2.7</h3>
Answer:
Step-by-step explanation:
In this cross sections problem, we can integrate from -r to +r (so that the integral covers the entire base of the solid).
The formatting for the integral did not let me put -r on the lower bound, so i replaced it with a, just know that a represents -r here.
Evaluating the integral gives use that it is equal to;
Caution: this answer may not meet your needs, but this is the answer I have come up with with the given information.
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9514 1404 393
Answer:
- domain: x < -2
- range: y > 1
Step-by-step explanation:
Domain and range of the inverse function are swapped: the domain of the function is the range of its inverse, and vice versa.
__
The graph shows an example of a function and its inverse with the given domain and range. The function is red; its inverse is blue.
Answer:
WITH WHAT
Step-by-step explanation:
Answer:
18a^2
Step-by-step explanation:
Multiply the numbers together. Multiply the variables together.
(-3a)(-6a) = (-3) * (-6) * a * a = 18a^2
-3 times -6 = 18 since negative times negative is positive, and 3 * 6 = 18.
Also a * a = a^2.
Answer: 18a^2
