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Tresset [83]
3 years ago
12

Suppose you roll a fair, six-sided number cube.

Mathematics
1 answer:
Serga [27]3 years ago
5 0

Answer:

Sample space= S= {1, 2, 3, 4, 5, 6}

One possible event is rolling an even number

probability (even number)=P\{2, 4, 6\} =\frac{3}{6}=\frac{1}{2}

Step-by-step explanation:

Sample Space

The simple space is the combination of all possible outcomes

so,

Sample space= S= {1, 2, 3, 4, 5, 6}

One possible event

One possible event is rolling an even number

Probability of that event

to find the probability of the event i.e. rolling an even number, we first find the sample for the event i.e. event space

event space={2, 4, 6}

Now,

probability (even number)=P\{2, 4, 6\} =\frac{3}{6}=\frac{1}{2}

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Three forces of 300 N in the direction of N30E, 400N in the direction of N60E and
andreyandreev [35.5K]

Split up each force into horizontal and vertical components.

• 300 N at N30°E :

(300 N) (cos(30°) i + sin(30°) j)

• 400 N at N60°E :

(400 N) (cos(60°) i + sin(60°) j)

• 500 N at N80°E :

(500 N) (cos(80°) i + sin(80°) j)

The resultant force is the sum of these forces,

∑ F = (300 cos(30°) + 400 cos(60°) + 500 cos(80°)) i

… … …  + (300 sin(30°) + 400 sin(60°) + 500 sin(80°)) j N

∑ F ≈ (546.632 i + 988.814 j) N

so ∑ F has a magnitude of approximately 1129.85 N and points in the direction of approximately N61.0655°E.

4 0
2 years ago
you have a piece of wood that is 72 inches long u cut the wood into three pieces the second piece is 6 inches longer than the fi
tangare [24]

Let

x---------> the length of the first piece

y---------> the length of the second piece

z---------> the length of the third piece

we know that

x+y+z=72 -------> equation 1

y=x+6 -----> solve for x

x=y-6 -------> equation 2

z=6+y -------> equation 3

substitute equation 2 and equation 3 in equation 1

[y-6]+y+[6+y]=72

3y=72

y=(72/3)=24 in

<u>Find the value of x</u>

x=y-6 -------> equation 2

x=24-6=18 in

<u>Find the value of z</u>

z=6+y -------> equation 3

z=6+24=30 in

therefore

<u>the answer is</u>

the length of the first piece is 18 in

the length of the second piece 24 in

the length of the third piece is 30 in

7 0
3 years ago
Every third visitors to a museum gets a free bumper sticker. Every fifth visitor to that museum gets a free key chain. Which vis
Rashid [163]
The fifteenth customer will be the first because 5x3=15

8 0
3 years ago
What are the solutions to the equation (2x - 5) (3x - 1) = 0
SCORPION-xisa [38]

Answer:

x = 5/2 & x = 1/3

Step-by-step explanation:

Create two equations and solve

1) 2x-5 = 0 & 2) 3x-1 = 0

1) 2x = 5

x = 5/2

2) 3x = 1

x = 1/3

You create two equations as you want the left hand side (LHS) to equal 0 (RHS), thus if one of the brackets becomes 0 it will result in the whole LHS beocming 0 as the brackets are being multiplied (anything multiplied by 0 = 0)

6 0
3 years ago
A builder requires 35 buckets of mortar to build a wall.
Stolb23 [73]

Answer:

He needs 7 buckets of cement, and 28 buckets of sane.

Step-by-step explanation:

cement : sand

1:4 = 5

35/5 = 7

7*1=7 .          Cement

7*4=28 .       Sand

5 0
3 years ago
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