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Ganezh [65]
3 years ago
13

A spinner numbered 1 to 6 is spun twice . what is the probability of getting a 3 on the first spin and an odd number on the seco

nd spin ?
Mathematics
1 answer:
ANTONII [103]3 years ago
8 0

the correct answer is 1 out of 12


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Write an equation for the circle with endpoints of a diameter (9, 4) and (-3, -2)
inysia [295]
If the diameter is at (9,4) and (-3,-2), then the center of the circle is the midpoint of that segment.

and since we know that the radius of a circle is half of the diameter, whatever long that diameter segment is, the radius is half that.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 9 &,& 4~) 
%  (c,d)
&&(~ -3 &,& -2~)
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{ x_2 +  x_1}{2}\quad ,\quad \cfrac{ y_2 +  y_1}{2} \right)
\\\\\\
\left( \cfrac{-3+9}{2}~~,~~\cfrac{-2+4}{2} \right)\implies \stackrel{center}{(3~,~1)}

\bf -------------------------------\\\\
~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 9 &,& 4~) 
%  (c,d)
&&(~ -3 &,& -2~)
\end{array}
\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{(-3-9)^2+(-2-4)^2}\implies d=\sqrt{(-12)^2+(-6)^2}
\\\\\\
d=\sqrt{180}\qquad \qquad \qquad radius=\cfrac{\sqrt{180}}{2}

\bf -------------------------------\\\\
\textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{3}{ h},\stackrel{1}{ k})\qquad \qquad 
radius=\stackrel{\frac{\sqrt{180}}{2}}{ r}
\\\\\\
(x-3)^2+(y-1)^2=\left( \frac{\sqrt{180}}{2} \right)^2\implies (x-3)^2+(y-1)^2=\cfrac{(\sqrt{180})^2}{2^2}
\\\\\\
(x-3)^2+(y-1)^2=\cfrac{180}{4}\implies (x-3)^2+(y-1)^2=45
7 0
3 years ago
Please help need to know the answer to this supposedly is 9 + (9x36) 333 but I don’t get it
Ahat [919]

Answer:

459

Step-by-step explanation:

First line:

clock showing 9 o'clock + clock showing 9 o'clock + clock showing 3 o'clock = 9 + 9 + 3 = 21

Second line:

The calculators look exactly the same.

3 * calculators = 30

1 calculator = 10

Third line:

1 bulb + 1 bulb - 1 bulb = 15

Since 1 bulb - 1 bulb = 0, we have 1 bulb + 0 = 15, or

1 bulb = 15

Last line:

Clock showing 9 o'clock = 9

Calculator = 10

3 bulbs = 3 * 15 = 45

Total = 9 + 10 * 45 = 9 + 450 = 459

7 0
3 years ago
The probability of drawing a heart from a standard deck of 52 playing cards is 1/4 . The probability of drawing a face card from
Anton [14]
You would multiply 13/52 by 13/51 which you should receive an answer of 13/204
8 0
3 years ago
Read 2 more answers
Represent the following sentence as an algebraic expression, where "a number" is the
BaLLatris [955]

Answer:

2 * (x - 3)

Step-by-step explanation:

3 0
2 years ago
How do you identify the bases of any prism?
PtichkaEL [24]

Answer:

Look at the names of the prisms above. Each type of prism is named after its base. In the figure on the left, the base is a rectangle, so it is called a rectangular prism. In the middle, the base is a triangle, so the shape is a triangular prism.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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