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maks197457 [2]
2 years ago
13

Relative to the graph of y=3sinx what is the shift of the graph of y=3sin(x+pi/3)

Mathematics
1 answer:
DochEvi [55]2 years ago
4 0
The shifts of the sinus function can be described with the formula:
<span>a<span>sin<span>(<span><span>bx</span><span>−c</span></span>)</span></span></span>+<span>d, where
a is the amplitude
b is  the period
c is the phase shift 
d is the vertical shift
So, the graph y=3sinx is phase shifted. The phase shift can be calculated as c/b= pi/3/1=pi/3
So, the function is phase shifted for pi/3.</span>
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Seth is trying to find the unit price for a package of blank compact discs on sale at 10 for $5.49. Find his mistake and correct
uysha [10]
If you do not mind me asking, what did Seth write? Us helpers cannot answer it if we do not have the full question. I apologize if this seems rude.
6 0
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Alice purchased 4 1⁄2 kilograms of olive oil for $27. What is the price per kilogram?
vitfil [10]

Hi!

We will solve this using ratios, like this:

4 1/2 = 4,5 kg of olive oil for 27 $

1 kg of olive oil for x $

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x = (27*1)/4,5

x = 27/4,5

x = 6 $ per kilogram

Hope this helps!

8 0
2 years ago
Calculate the loss on selling 50 shares of stock originally bought as 13 3/4 and sold at 12
kaheart [24]
First we multiply 50 and 13 and 3/4 
13 and 3/4 could also = 13.75 
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50 x 13.75 = 687.50
so $687.50 was spent on the stock 
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now we need to find out the loss by subtracting 
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so that means this company lost $87.50 :(
hope this helps :)
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5 0
2 years ago
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What percent of 20 is 30
Temka [501]
   30 x ( 20 / 100 )
= 30 x ( 1 / 5 )
= 30 / 5
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3 0
2 years ago
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Meeting at least one person with the flu in thirteen random encounters on campus when the infection rate is 2% (2 in 100 people
s344n2d4d5 [400]

Answer:

23.1% probability of meeting at least one person with the flu

Step-by-step explanation:

For each encounter, there are only two possible outcomes. Either the person has the flu, or the person does not. The probability of a person having the flu is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Infection rate of 2%

This means that p = 0.02

Thirteen random encounters

This means that n = 13

Probability of meeting at least one person with the flu

Either you meet none, or you meet at least one. The sum of the probabilities of these outcomes is 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). Then

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{13,0}.(0.02)^{0}.(0.98)^{13} = 0.7690

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.769 = 0.231

23.1% probability of meeting at least one person with the flu

6 0
1 year ago
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