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babunello [35]
3 years ago
5

A player rolls a pair of standard dice. Find the probability P(sum is at least 3)

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
8 0
D because there are 6 sides to a dice and there are 3 options where the number is bigger than 3. Therefore 3/6 = 15/30
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After Noam transformed the graph of the function f (x)= |x|, the graph's vertex became (0,48), Which sequences of transformation
Pachacha [2.7K]

Answer:

f(x) = |x|+48 would make the vertex be (0,48)

Step-by-step explanation:

Since the y-coordinate changed, this means that only vertical shift could have occured. Therefore, 48 must've been added to |x|.

3 0
3 years ago
Let R = [ 0 , 1 ] × [ 0 , 1 ] R=[0,1]×[0,1]. Find the volume of the region above R R and below the plane which passes through th
Bond [772]

The three vectors \langle0,0,1\rangle, \langle1,0,8\rangle, and \langle0,1,9\rangle each terminate on the plane. We can get two vectors that lie on the plane itself (or rather, point in the same direction as vectors that do lie on the plane) by taking the vector difference of any two of these. For instance,

\langle1,0,8\rangle-\langle0,0,1\rangle=\langle1,0,7\rangle

\langle0,1,9\rangle-\langle0,0,1\rangle=\langle0,1,8\rangle

Then the cross product of these two results is normal to the plane:

\langle1,0,7\rangle\times\langle0,1,8\rangle=\langle-7,-8,1\rangle

Let (x,y,z) be a point on the plane. Then the vector connecting (x,y,z) to a known point on the plane, say (0, 0, 1), is orthogonal to the normal vector above, so that

\langle-7,-8,1\rangle\cdot(\langle x,y,z\rangle-\langle0,0,1\rangle)=0

which reduces to the equation of the plane,

-7x-8y+z-1=0\implies z=7x+8y+1

Let z=f(x,y). Then the volume of the region above R and below the plane is

\displaystyle\int_0^1\int_0^1(7x+8y+1)\,\mathrm dx\,\mathrm dy=\boxed{\frac{17}2}

6 0
2 years ago
Write a complete two-column proof for the following information given
rosijanka [135]

   <u>Statement </u>                  <u>Reason</u>        

1. AB = x + 16                 1. Given

  BC = 4x + 11

   AC = 77

2. AB + BC = AC             2. Segment Addition Postulate

3. x + 16 + 4x + 11 = 77     3. Substitution Property

4. 5x + 27 = 77                 4. Simplification <em>(added like terms)</em>

5. 5x = 50                         5. Subtraction Property of Equality

6. x = 10                             6. Division Property of Equality

7. AB = 10 + 16                   7. Substitution Property

8. AB = 26                          8. Simplification <em>(added like terms)</em>

5 0
3 years ago
Plz helpppppppppppppppppppppppppppppppppppppppppppppppppppppp
BigorU [14]
D is the answer . . .
8 0
3 years ago
Read 2 more answers
Lily has a bag of 30 marbles. 40% are red, 30% are green, and 30% are blue. How many marbles are green and red combined?​
RoseWind [281]
30% of the 30 marbles is nine and 9-30 = 21 so your answer is 21
3 0
2 years ago
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