The function f(x)=4sin(2πx) is a sinusoidal function
The graph of the function f(x)=4sin(2πx) is graph (c)
<h3>How to determine the graph of the function f(x)=4sin(2πx)?</h3>
The parent function of a sine function is
f(x) = sin(x)
The function f(x)=4sin(2πx) implies that the parent function f(x) = sin(x) has been horizontally and vertically stretched
So, the graph of the function f(x)=4sin(2πx) would have a higher amplitude and shorter period than its parent function
Hence, the graph of the function f(x)=4sin(2πx) is graph (c)
Read more about function transformation at:
brainly.com/question/4289712
Answer:
V = 270 cm³
Step-by-step explanation:
Remember your volume formula: V=<em>lwh</em>
So, plug in all your variables and multiply:
(6)(5)(9) = 270
And we have our final answer!
Answer:
And replacing we got:
Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
For this case our random variable is given by:

For this case we want this probability:
And replacing we got:
Let x be the original number of chocolates:-
x - (2/3)x - (1/5)(x - (2/3)x) = 12
x - (2/3)x - (1/5)x + (2/15 )x = 12
15x - 10x - 3x + 2x = 180
4x = 180
x = 45
original amount of chocolates = 45
Answer:
No, It is not true
Step-by-step explanation:
First of all, we should have a number in the tenths place, and we don't.
Also, in the hundredths place, we should have 9, not 4.
And finally, the answers should be 0.195, not 0.042.