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Yuri [45]
3 years ago
13

A spinner divided into four equal parts, A, B, C, and D, is spun, then is followed by a roll of a standard six-sided die.

Mathematics
1 answer:
gavmur [86]3 years ago
6 0

Answer: 24

<u>Step-by-step explanation:</u>

Total Possible Outcomes given A, B, C, D  and 1, 2, 3, 4, 5, 6

= 4 x 6

= 24

*******************************************************************************

Answer: 3

<u>Step-by-step explanation:</u>

Total outcomes for an A and and odd number

= A and (1 or 3 or 5)

= 1 x 3

= 3

*******************************************************************************

Answer: \bold{\dfrac{1}{4,}\qquad \dfrac{1}{2,}\qquad \dfrac{1}{8}}

<u>Step-by-step explanation:</u>

Probability of an A out of A, B, C, D is: \dfrac{1}{4}

Probability of an odd (1, 3, 5) out of 1, 2, 3, 4, 5, 6 is: \dfrac{3}{6}=\dfrac{1}{2}

Probability of an A and an odd is: \dfrac{1}{4}\times\dfrac{1}{2}=\dfrac{1}{8}

*******************************************************************************

Answer: \bold{\dfrac{1}{2}}

<u>Step-by-step explanation:</u>

Probability of an odd (1, 3, 5) out of 1, 2, 3, 4, 5, 6 is: \dfrac{3}{6}=\dfrac{1}{2}

*******************************************************************************

Answer: \bold{\dfrac{3}{4}}

<u>Step-by-step explanation:</u>

Probability of an A or an odd is: \dfrac{1}{4}+\dfrac{1}{2}=\dfrac{1}{4}+\dfrac{2}{4}=\dfrac{3}{4}

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katen-ka-za [31]

Answer:

33

Step-by-step explanation

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stepladder [879]

Answer:

Step-by-step explanation:

Begin with the standard form of a circle as a conic:

Ax^2+Bxy+Cy^2+Dx+Ey+F=0

For a circle, A and C will be the exact same, and B will equal 0.  If B is non-zero, the equation represents a rotation of a conic, which is reserved for college-level courses.  Shortening this, then:

x^2+y^2+Dx+Ey+F=0 is good enough for us for this.  Start with the first point on the circle, (2, 31) and fill in the equation above with x and y:

2^2+31^2+2D+31E+F=0 which simplifies down to:

(1):2D+31E+F=-965

Do the same with the next point on the circle, (-15, 14):

-15^2+14^2-15D+14E+F=0 which simplifies down to:

(2):-15D+14E+F=0

Do the same with the last point, (33, 0):

33^2+0^2+33D+0E+F=0 which simplifies down to:

(3):33D+F=-1089

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-15D + 14E + F = -421

Multiply the top equatio by -1 to get rid of the F terms:

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-15D + 14E + F = -421

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Multiply the bottom equation by -1 to get rid of the F terms:

-15D + 14E + F = -421

-33D          - F = 1089

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(5): -48D + 14E = 668

Now add (4) and (5) together and eliminate the E terms:

-17D - 17E = 544

-48D + 14E = 668

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D = -18

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