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mamaluj [8]
3 years ago
11

What is the period of the parent cosine function, y = cos(x)?

Mathematics
2 answers:
Oksanka [162]3 years ago
8 0

Answer:

The next one is a horizontal stretch

nikklg [1K]3 years ago
4 0
We have to find the period of the parent cosine function and the period of the function showed on the graph.
Period = 2π / B, where B is the coefficient of x - term.
1. For the function: y = cos x,  B = 1
Period = 2 π / 1 = 2 π = 360°.
2. For the graphed function ( from the picture ):
Period = 6 π = 1,080°
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I need some help with this problem plz help ?
Olin [163]
The answer to the question is 8
6 0
3 years ago
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In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample
Rasek [7]

Answer:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

Step-by-step explanation:

1) Previous concepts

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".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

p = \frac{17}{25}=0.68

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

X \sim Binom(n=6, p=0.68)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727

6 0
3 years ago
If f(x)= (3x+7)^2, then f(1) = ?
Crank
To find f(1), substitute 1 for x.

f(1) = (3(1)+7)²
f(1) = (3+7)²
f(1) = 10²
f(1) = 100
3 0
3 years ago
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2. Calculate the angular speed of the 26-inch bicycle rotating at 200 revolutions per minute. Express your answer in radians per
Alexus [3.1K]
The angular velocity for this problem is given by:
 Angular speed = 200 rev / min
 The first thing you should keep in mind is the following conversion:
 1 rev = 2π radians
 Applying the conversion we have:
 Angular speed = 200 * (2π)
 Rewriting:
 Angular speed = 200 * (2 * 3.14)
 Angular speed = 1256 radians / minutes
 Answer:
 
the angular speed is:
 
Angular speed = 1256 radians / minutes
4 0
3 years ago
Help!!!!!!!!!!!! !!!!!!!!!!!!
yulyashka [42]
The correct answer is y=2/3x+4 which is the last option :)
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