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mojhsa [17]
3 years ago
14

Jesse is playing a game with a number cube with faces numbered 1 through 6. What is the probability of rolling a number that is

even and a multiple of 3?
Mathematics
1 answer:
grandymaker [24]3 years ago
7 0

Answer:

The probability of rolling a number that is even and a multiple of 3 is \frac{1}{6}

Step-by-step explanation:

The total possible  outcomes of cube = { 1, 2, 3 , 4 , 5 , 6}

Now, let E: Event of getting an even number and a multiple of 3

So, out of all the outcomes, {6) is the ONLY possible favorable outcome.

\textrm{P(E)}  =\frac{\textrm{Number of favorable outcomes }}{\textrm{Total number of outcomes}}

or, P(E) = \frac{1}{6}

Hence, the probability of rolling a number that is even and a multiple of 3 is \frac{1}{6}

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The area of the triangle formed by points of intersection of parabola y=a(x−3)(x+2) with the coordinate axes is 10. Find a if it
ICE Princess25 [194]

Answer: a = 4

Step-by-step explanation: Area of a triangle is calculated as: A_{t}=\frac{b.h}{2}.

The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.

The points on the x-axis are the roots of the quadratic equation:

a(x-3)(x+2)=0

(x-3)(x+2)=0

x - 3 = 0

x = 3

or

x + 2 = 0

x = -2

So, base is the distance between (-2,0) and (3,0).

Since they are in the same coordinate, distance will be:

b = 3 - (-2)

b = 5

Area of the triangle is 10. So constant a is

10=\frac{5.a}{2}

5a = 10.2

a = 4

The constant a of the function y = a(x-3)(x+2) is 4.

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2 years ago
20 POINTS FOR RIGHT ANSWER!!!
dangina [55]

Answer:

a=10 and b= -12

Step-by-step explanation:

6 0
3 years ago
Convert the fraction 2/11 to a decimal using long division
kupik [55]

Answer:

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Step-by-step explanation:


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3 years ago
Find the equation of a line that runs through
MAVERICK [17]

Answer:

The equation of a line that runs through  (-6,2) and is parallel to a line with a slope of (-1/4)     is  x + 4y  - 2 = 0

Step-by-step explanation:

Slope of the parallel  equation is m 1 = (-1/4)

<em>If the two liner are parallel the, slope of both lines are equal.</em>

⇒The slope of the equation of line = m2  = m1  = -(1/4)

The point (x0, y0)  = (-6,2)

Now, by THE POINT SLOPE FORMULA:  The equation of a line is given as

( y - y0)  =  m (x -x0)

Now, here the equation of line is given as:

y - 2 = (\frac{-1}{4}) (x - (-6))   \implies  4(y-2) = -1(x + 6)

or, 4y - 8 + x + 6 = 0

or, x + 4y  - 2 = 0

Hence, the required line equation is  x + 4y  - 2 = 0

7 0
3 years ago
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