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murzikaleks [220]
3 years ago
8

Alex rolls a six-sided number cube 570 times. Approximately how many times can he expect to roll a 5?

Mathematics
2 answers:
Annette [7]3 years ago
8 0

1)First determine the probability of rolling a 5

2)Since you can only roll a 5 once in a 6-sided cube the probability is ⅙ or about 0.1667

3)Multiply the probability and the total number of rolls

.1667 * 570= 95

Answer : 95 times

madreJ [45]3 years ago
5 0

Answer:

95 times

Step-by-step explanation:

Probability of rolling a 5 =1/6

So no. of times 5 is expected when the number cube is rolled out 570 times = 570*1/6 = 95 times

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What are the solutions to the system of equations? {y=x2−4x+8y=2x+3
OverLord2011 [107]

Answer:

1) C  2) (-2,0) 3) 4)  5) c )S={(0,3)} 6) (0,2) 7)  8) Missing graph 9) Vertical line (check below) 10) B 11)

Step-by-step explanation:

1) Solving by the Addition/Elimination Method. Firstly, let's reduce one variable by making some algebraic adjustments and then adding it up:

2) Solving by Substitution Method. Where y=x+2 is plugged in the 2nd equation.

3) Solving it, again, by the Substitution Method due to the I equation form:

4) By the Addition Method

5) To use the graph method to solve the system of Linear equations is possible by graphing each equation on the Cartesian Plane.

Check the graph below, this system has only one solution.

c)S={(0,3)}

6) Solving y=-1/3x+2 y=x+2

(Check the graph below)

A) A) (0, 2)

7) Solving by Substitution Method:

8) Missing graph

9)

Check the graph below its answer

10) Solving by the Addition Method

11) Sorry, missing graph for the question.

12) Sorry, missing graph for the question.

13) D Check the graph below

14) Sorry, missing graph for the question.

5 0
3 years ago
Gabe Amodeo, a nuclear physicist, needs 60 liters of a 60% acid solution. He currently has a 40% solution and a 70% solution. Ho
timofeeve [1]

Answer:

20 liters of the 40% solution

60-20=40 liters of the 70% solution

Step-by-step explanation:

40%x+70%(60-x)=60%(60)

0.4x+0.7(60-x)=0.6(60)

0.4x+42-0.7x=36

-0.3x+42=36

-0.3x=-42+36

-0.3x=-6

0.3x=6

3x=60

x=60/3

x=20 liters of the 40% solution

60-20=40 liters of the 70% solution

check: 0.4*20=8

0.7*40=28

8+28=36 and 0.6*60=36 also

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3 years ago
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