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beks73 [17]
4 years ago
7

Choose correct graph with following function

Mathematics
1 answer:
anyanavicka [17]4 years ago
6 0

Answer:

Step-by-step explanation:

From the function, y = cos (3x)

Inputting values of x (horizontal axis), x = pi

y = cos (3 × pi)

= -1 ( remember you are dealing with values in radians not degree)

So now graph 1 and 3 have the same values. So inputting, x = pi/2 into the function, y = cos (3x)

= cos ((3 × pi)/2)

= 0

View the correct graph below.

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What is 29/5 is equal to
Evgesh-ka [11]

Answer:

5 4/5 or 5.8

Step-by-step explanation:

convert 29/5 to 5 4/5

or

divide 29/5 is 5.8

5 0
2 years ago
What is the probability that all the roots of x2 + bx + c = 0 are real? [0,1]?
notsponge [240]

x^2+bx+c will have real roots when the discriminant of the quadratic, \Delta=b^2-4c, is non-negative, i.e.

b^2-4c\ge0\implies b^2\ge4c

Your question about probability is currently impossible to answer without knowing exactly what the experiment is. Are you picking b,c at random from some interval? Is the choice of either distributed a certain way?

I'll assume the inclusion of "[0,1]" in your question is a suggestion that both b,c are chosen indepently of one another from [0, 1]. Let B,C denote the random variables that take on the values of b,c, respectively. I'll assume B,C are identical and follow the standard uniform distribution, i.e. they each have the same PDF and CDF as below:

f_X(x)=\begin{cases}1&\text{for }0

F_X(x)=\begin{cases}0&\text{for }x

where X is either of B,C.

Then the question is to find P(B^2\ge4C). We have

P(B^2\ge4C)=P\left(C\le\dfrac{B^2}4\right)

and we can condition the random variable C on the event of B=b by supposing

P\left(C\le\dfrac{B^2}4\right)=P\left(\left(C\le\dfrac{B^2}4\right)\land(B=b)\right)=P\left(C\le\dfrac{B^2}4\mid B=b\right)\cdot P(B=b)

then integrate over all possible values of b.

=\displaystyle\int_{-\infty}^\infty P\left(C\le\dfrac{b^2}4\right)f_B(b)\,\mathrm db

=\displaystyle\int_{-\infty}^\infty F_C\left(\dfrac{b^2}4\right)f_B(b)\,\mathrm db

=\displaystyle\int_0^1\dfrac{b^2}4\,\mathrm db=\frac1{12}

4 0
3 years ago
A baseball team played 140 regular season games. The ratio of the number of games they won the the number of games they lost was
Maksim231197 [3]

Answer:

they won 105 and lost 35

Step-by-step explanation:


5 0
3 years ago
Solve for X. <br><br> x+3 <br> 4<br> 8
m_a_m_a [10]

Answer:

First find the hypotenuse of the small triangle then use that value as the base of the upper triangle. Evaluate the equation formed with the “x"

8 0
3 years ago
HELP WITH THIS EZ QUESTION
9966 [12]

Answer:

89

Step-by-step explanation:

3+75t-16t^{2} =h\\\\

we evaluate when t=2

3+75(2)-16(2)^2=h\\\\3+150-64=h\\\\h=89

so it's 89 feet

7 0
3 years ago
Read 2 more answers
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