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3 years ago

If you roll a six-sided die, what is the probability that you will obtain a number greater than 2

Mathematics

2 answers:

gladu [14]3 years ago

7 0

Answer:

4 out of 6

Step-by-step explanation:

1 and 2 are not greater than 2 so subtract those to numbers from 6 and that number(4) out of 6 is you probability

asambeis [7]3 years ago

4 0

Answer:

the probability is 4/6

Step-by-step explanation:

bc is you have six sides labeled 1-6, and you want to get higher than 2, 1 and 2 are out which leaves 3 4 5 and 6 which amounts to 4 numbers out of 6 so 4/6 or 2/3 or %66.66666666666...

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The vertices of a square CDEF are C(1,1), D(3,1), E(3,-1) and F(1,-1). What formulas prove that the diagonals are congruent perp

Oxana [17]

To prove that the diagonals are congruent, you need to formula to compute the distance between two points:

$d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}$

Using that formula, you may prove that $d(C,E) = d(D,F)$ , which means that the two diagonals have the same length.

To prove that they are perpendicular, you need the formula to compute the slope of a segment. The slope, knowing the enpoints, is given by

$m = \cfrac{\Delta y}{\Delta x} = \cfrac{A_y-B_y}{A_x-B_x}$

You can use this formula to prove that

$m_{CE} = -\cfrac{1}{m_{DF}}$

In fact, if one slope is the opposite of the reciprocal of the other, the two segments are perpendicular.

Finally, to prove that they bisect each other, you first need to find the point where they meet. First of all, you need to find the line the segments lie on: the formula is

$y-y_0 = m(x-x_0)$

where $(x_0,y_0)$ is one of the points belonging to the line, and you already know how to find the slope. Then, you find the point of intersection, say A, by solving the system involving the two lines:

$\begin{cases} y= m_{CE}x+q_{CE}\\ y = m_{DF}x+q_{DF} \end{cases}$

And use again the formula for the distance between two points to prove that

$d(A,C) = d(A,D) = d(A,E) = d(A,F)$

4 0

3 years ago

Use long division to determine the quotient of the polynomials. (x3 – 7x – 6) ÷ (x – 4) Which of the following options best desc

Lelechka [254]

Answer:

The correct option is c.

Step-by-step explanation:

The quotient of the polynomials is

$\frac{(x^3-7x-6)}{x-4}$

We need to find the remainder by using long division method.

The dividend of the given expression is

$Dividend=x^3-7x-6$

$Divisor=x-4$

The long division method is shown below.

$\frac{(x^3-7x-6)}{x-4}=(x^2+4x+9)+\frac{30}{x-4}$

From the below attachment it is clear that the quotient has a remainder of 30. Therefore, the divisor is not factor of the dividend.

Therefore the correct option is c.

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3 years ago

I need to know how to find the initial value, Rate of Charge, and The equation

MrRa [10]

Use a porportion to help better and speed up the process

7 0

3 years ago

Frances gets 6 paychecks in 12 weeks how many paychecks does she get in 52 weeks

Norma-Jean [14]

Frances will receive 26 paychecks

6 0

3 years ago

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cos theta = 4/5, 0˚< theta < 90˚ use the information given to find sin2theta, cos2theta, and tan 2theta

NikAS [45]

First calculate $\sin\theta$ .

$\sin^2\theta+\cos^2\theta=1\\\\\sin^2\theta=1-\cos^2\theta\\\\\sin^2\theta=1-\left(\dfrac{4}{5}\right)^2\\\\\\\sin^2\theta=1-\dfrac{16}{25}\\\\\\\sin^2\theta=\dfrac{9}{25}\quad|\sqrt{(\dots)}\\\\\\\sin\theta=\sqrt{\dfrac{9}{25}}\\\\\\\boxed{\sin\theta=\dfrac{3}{5}}$

We take positive value of sinθ because 0° < θ < 90°
Now we could calculate sin2θ, cos2θ and tan2θ:

$\sin2\theta=2\sin\theta\cos\theta=2\cdot\dfrac{3}{5}\cdot\dfrac{4}{5}=\dfrac{2\cdot3\cdot4}{5\cdot5}=\dfrac{24}{25}\\\\\\\cos2\theta=\cos^2\theta-\sin^2\theta=\left(\dfrac{4}{5}\right)^2-\left(\dfrac{3}{5}\right)^2=\dfrac{16}{25}-\dfrac{9}{25}=\dfrac{7}{25}\\\\\\
\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=\dfrac{\frac{24}{25}}{\frac{7}{25}}=\dfrac{24\cdot25}{7\cdot25}=\dfrac{24}{7}=3\dfrac{3}{7}$

5 0

3 years ago

Read 2 more answers