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Fantom [35]
3 years ago
8

Mia rolls a pair of standard six-sided dice. Find the chance that the two numbers add to 8.

Mathematics
1 answer:
larisa [96]3 years ago
7 0

Answer:

3/6 chance 1/2 chance

Step-by-step explanation:

Six sides on a dice:

1 and 2 and 3 and 4 and 5 and 6

one chance is 2 and 6 added together, another is 4 and 4, another is 5 and 3 so there are 3 chances in 3/6 which a 1/2

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What is the multiplicative inverse of 5 in z11, z12, and z13? you can do a trial-and-error search using a calculator or a pc?
grin007 [14]

A multiplicative inverse of an integer a is an integer x such that the product ax is congruent to 1 with respect to the modulus m.  

1. Z_{11}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{4};
  • 5\cdot 4=20=\overline{9};
  • 5\cdot 5=25=\overline{3};
  • 5\cdot 6=30=\overline{8};
  • 5\cdot 7=35=\overline{2};
  • 5\cdot 8=40=\overline{7};
  • 5\cdot 9=45=\overline{1};
  • 5\cdot 10=50=\overline{6}.

The multiplicative inverse of 5 in Z_{11} is 9.

2.   Z_{12}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10},\overline{11}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{3};
  • 5\cdot 4=20=\overline{8};
  • 5\cdot 5=25=\overline{1};
  • 5\cdot 6=30=\overline{6};
  • 5\cdot 7=35=\overline{11};
  • 5\cdot 8=40=\overline{4};
  • 5\cdot 9=45=\overline{9};
  • 5\cdot 10=50=\overline{2};
  • 5\cdot 11=55=\overline{7}.

The multiplicative inverse of 5 in Z_{12} is 5.

3.  Z_{13}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10},\overline{11},\overline{12}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{2};
  • 5\cdot 4=20=\overline{7};
  • 5\cdot 5=25=\overline{12};
  • 5\cdot 6=30=\overline{4};
  • 5\cdot 7=35=\overline{9};
  • 5\cdot 8=40=\overline{1};
  • 5\cdot 9=45=\overline{6};
  • 5\cdot 10=50=\overline{11};
  • 5\cdot 11=55=\overline{3};
  • 5\cdot 12=60=\overline{8}.

The multiplicative inverse of 5 in Z_{13} is 8.

8 0
4 years ago
5) Convert 23.5 kilograms to milligrams.
Inessa [10]
It’s 235,000,000 milligrams i think.
5 0
3 years ago
HURRY INVERSE OF A FUCTION​
Anon25 [30]
Here is how we get the answer....
First, replace f(x) with y . ...
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y . ...
Replace y with f−1(x) f − 1 ( x ) . ...
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
6 0
3 years ago
alvin and simon raced a distance of 2.9 x 10^2 kilometers. they need to race 7 times that distance in kilometer. how far must th
dimaraw [331]

The distance in kilometers in scientific notation 2.03 \times 10^3 km

<h3>Scale factors</h3>

Scale factors are values or constants multiplied with a variable

If Alvin and Simon raced a distance of 2.9 \times 10^2 kilometers and they need to race 7 times that distance in a kilometer, the distance traveled will be:

  • Distance travelled = 7(2.9 \times 10^2)
  • Distance travelled = 2.03 \times 10^3 km

Hence the distance in kilometers in scientific notation 2.03 \times 10^3 km

Learn more on distance here: brainly.com/question/23848540

8 0
3 years ago
X = 0.5<br> Solve please
faltersainse [42]

Answer:

2x-1=0

Step-by-step explanation:

x-0.5=0

10x-5=0

2x-1=0

4 0
3 years ago
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