Answer:
Step-by-step explanation:
Let use the basic function of sin first.
Since the midline is 1 and the max point is 5, the amplitude is 4.
The midline is 1 since the midline is at 0,1.
Since we know the distance of the max and midline x values
We can multiply that by 4 to find our period.
Use the equation 2pi/b to find the b we would use in our equation.
The answer is
so our equation is
Answer:
Step-by-step explanation:
The equation Thomas wrote is:
...equation 1
Let us subtract 3x from both sides to get:
We now multiply through by 2 to get:
....equation 2
We can see that equation one and two are equivalent and hence have the same solution.
Therefore Sandra's equation is
You started out with 260, and increased to 430.
The amount you increased was (430 - 260) = 170
170 is (170/260) = <em>65.4%</em> of what you started with.
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Another way:
The new amount is (430/260) of the old amount.
430 / 260 = 1.654 = 165.4%
The original amount was 260.
You started with 100% of it.
You ended up with 165.4% of it.
That's an increase of 65.4% .
We cannot reject the null hypothesis as the p value is less than 0.01.
<h3>How to illustrate the hypothesis?</h3>
From the information given, Luiza wants to go on a popular talent TV show and in order to be accepted, her audition must get at least 60% positive votes from the people in the crowd.
The observed outcome also has a probability less than 1% under the tested hypothesis. Based on the information, the test statistic will be - 1.58.
After this, this will be checked under the standard normal distribution table where the p value will be 0.0571.
Based on this information, we cannot reject the null hypothesis as the p value is less than 0.01.
In conclusion, the correct option is that we cannot reject the hypothesis.
Learn more about hypothesis on:
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Answer:
P'(4, 5) Q'(5, 3) R'(1, 1)
Step-by-step explanation:
When rotating a point 90 degrees counterclockwise about the origin our point T(x,y) becomes T'(-y,x).
