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mart [117]
3 years ago
5

Solve inequalities.

Mathematics
1 answer:
grigory [225]3 years ago
4 0

Answer:

10. 7n - 1 < -8

Isolate the variable, n. Do the opposite of PEMDAS. Treat the < as equal sign, what you do to one side, you do to the other. First, add 1 to both sides:

7n - 1 (+1) < - 8 (+1)

7n < - 8 + 1

7n < - 7

Isolate the variable, n. Divide 7 from both sides:

(7n)/7 < (-7)/7

n < -7/7

n < -1

n < -1 is your answer.

11. 3 > -7v + 4v

Combine like terms, then isolate the variable, v. First, add -7v and 4v together.

3 > (-7v + 4v)

3 > (4v - 7v)

3 > (-3v)

Isolate the variable, v. Divide -3 from both sides. Note that since you are dividing a negative number, you must flip the sign:

(3)/-3 > (-3v)/-3

3/-3 > v

-1 < v

v > -1 is your answer.

~

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Answer:

Expected number of hours before the the group exits the building = E[Number of hours] = 3.2 hours

Step-by-step explanation:

Expected value, E(X) is given as

E(X) = Σ xᵢpᵢ

xᵢ = each variable

pᵢ = probability of each variable

Let X represent the number of hours before exiting the building taking each door. Note that D = Door

D | X | P(X)

1 | 3.0 | 0.2

2 | 3.5 | 0.1

3 | 5.0 | 0.2

4 | 2.5 | 0.5

E(X) = (3×0.2) + (3.5×0.1) + (5×0.2) + (2.5×0.5) = 3.2 hours

Hope this Helps!!!

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400,00 has a value of 400
AfilCa [17]
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timofeeve [1]

Answer:

5 x 5 = 25 and 5 + 5 = 10

Step-by-step explanation:

You multiply 5 Five times.

So you get 5,10,15,20,25!

The answer is 25

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So you get 5 plus 5!

5,6,7,8,9,10!

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What is a counterexample for the statement the difference between two integers is always positive
Maru [420]

We have to give counter example for the given statement:

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This statement is not true. As integers is the set of numbers which includes positive and as well as negative numbers including zero.

Consider any two integers say '2' and '-8'. Now, let us consider the difference between these two integers.

So, 2 - 8

= -6 which is not positive.

Therefore, it is not necessary that the difference of two integers is only positive. The difference of two integers can be positive, negative or zero.

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Answer:

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Step-by-step explanation:

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Read 2 more answers
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