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xenn [34]
3 years ago
5

According to Vinay's model, what is the probability that he will have a male history teacher two years in a row?

Mathematics
1 answer:
BaLLatris [955]3 years ago
8 0

Answer:

(3/8) ^2

Step-by-step explanation:

P ( male history teacher) = Number males/ total

                                         = 3/8

Assuming nothing changes in year two

P ( male history teacher year two) = Number males/ total

                                         = 3/8

P( male, male) = 3/8 * 3/8 = (3/8) ^2

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pantera1 [17]

The answer is B. The angle next to 100 degrees would be 80 as the angles are supplementary. Then you would add 80 + 70 = 150. All the angles in a triangle add to 180, thus making the "x" angle 30 due to 180 - 150.

Hope this helped :))

7 0
3 years ago
Which equation has a slope of -5/2 and a y-intercept of -2
Fantom [35]

Answer:

Step-by-step explanation:

slope-intercept equation for line of slope -5/2 and y-intercept -2:

y = (-5/2)x-2

put into standard form:

(5/2)x + y = -2

5x + 2y = -4

4 0
3 years ago
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HELP AM BEING TIMED !!!!
Alja [10]

Answer:

Option B.

Step-by-step explanation:

It is given that triangle GFH has vertices G(2, –3), F(4, –1), and H(1, 1).

The triangle is rotated 270° clockwise using the origin as the center of rotation. So, rule of rotation is defined as

(x,y)\to (-y,x)

Now,

G(2,-3)\to G'(3,2)

F(4,-1)\to F'(1,4)

H(1,1)\to H'(-1,1)

So, the vertices of image are G'(3,2), F'(1,4) and H'(-1,1).

Therefore, the correct option is B.

3 0
3 years ago
4tan^2 x-8tanx+3=0 on interval [0,2pi]
Vadim26 [7]
\bf 4tan^2(x)+8tan(x)+3=0\qquad [0,2\pi ]
\\\\\\
\textit{since it's just a quadratic, we'll just factor it}
\\\\\\\
[2tan(x)+1][2tan(x)+3]=0\implies 
\begin{cases}
2tan(x)+1=0\\
\qquad tan(x)=-\frac{1}{2}\\
\qquad \measuredangle x=tan^{-1}\left( -\frac{1}{2} \right)\\
\qquad \measuredangle  x\approx 333.4^o, 153.4^o\\
2tan(x)+3=0\\
\qquad tan(x)=-\frac{3}{2}\\
\qquad \measuredangle x=tan^{-1}\left(-\frac{3}{2}  \right)\\
\qquad \measuredangle x\approx303.7^o, 123.7^o
\end{cases}
7 0
3 years ago
What is the answer to Pi?
Alex73 [517]

Answer:

pi = 3.141592653589793238462643

Step-by-step explanation:

that's how we came up with pi simply being 3.14 and why pi day is 3/14 every year

4 0
3 years ago
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