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user100 [1]
3 years ago
8

If θ is an angle in standard position that passes through (-3, 4), find sin2θ.

Mathematics
1 answer:
julia-pushkina [17]3 years ago
8 0

Answer:

Correct answer: sin 2Θ = - 24/25

Step-by-step explanation:

If under the standard position you think that the first arm (side) belongs to the positive direction of the x axis and the second one passes through a given point then it is:

if we form a right triangle with sides 3 and 4 then the hypotenuse is 5.

sin Θ = 4/5 and cos Θ = - 3/5

we know that the formula for double the value of the angle is:

sin 2Θ = 2 sinΘ cosΘ = 2 · 4/5 · ( - 3/5) = - 24/25

sin 2Θ = - 24/25

God is with you!!!

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jenyasd209 [6]

Answer:

Step-by-step explanation:

g(2)=2.2*(-5)

g(3)=2.2*(-5)^2

........................

g(n)=2.2*(-5)^(n-1)

6 0
3 years ago
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a particular test correctly identifies those with a certain serious disease 94% of the time and correctly diagnoses those withou
Elodia [21]
This item can be solved by the probability theorem called Bayes' theorem which states that the probability of event A occurring given event B is equal to,
                            P(A/B) = P(A)P(B/A) / P(B)
where P(B/A) is the probability that the test will yield positive if the person has the disease. P(A) is the probability will be present in any particular person which is equal to 0.04. 

P(B) is the probability of positive result irrespective of whether the disease is present of not is calculated below.
                   P(B) = (0.94)x (0.04) + (0.06)(0.96) = 0.0952

Now, solving for P(A/B)
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Thus, the answer is approximately 4%. 
3 0
3 years ago
What is the mean of this data set? {14, 7, 2, 8, 3} Enter your answer as a decimal in the box.
Assoli18 [71]

The mean of the data set is 6.8.

<h3>What is the mean?</h3>

Mean is the average value of the given set of observations. In statistics, we also come across different types of mean such as Arithmetic, Geometric and Harmonic mean.

Given

The data set is 14, 7, 2, 8, 3.

The mean of the data set is given by;

\rm Mean = \dfrac{Sum \ of \ all \ data}{Number \ of \ data}\\\\Mean =\dfrac{14+7+2+8+3}{5}\\\\Mean = \dfrac{34}{5}\\\\Mean=6.8

Hence, the mean of the data set is 6.8.

To know more about mean value click the link given below.

brainly.com/question/4209766

3 0
2 years ago
Fill in the blanks below.
alexira [117]

Answer:

-4/0, and 0/9

Step-by-step explanation:

slope formula

6 0
3 years ago
X +4 = 12; x = 16 <br><br> Please help
alexdok [17]

Answer:

x=8 x=16

Step-by-step explanation:

Given function:

  • x+4=12
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Thinks:

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Rewrite as:

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Thereform, x=8 and x=16.

3 0
3 years ago
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