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jeyben [28]
3 years ago
13

Aimee must add together the following numbers:3.50 + 4.00 + (−1.25) + (−7.50) + 5.25 + 2.00As her first step, Aimee writes:(3.50

+ (–7.50)) + (–1.25 + 5.25) + (4.00 + 2.00)Which is the best explanation of what Aimee did in this step?
A.Aimee used the Associative and Commutative Properties to put opposite numbers together.
B.Aimee used the Identity Property to put numbers with the same values after the decimal point together.
C.Aimee used the Associative and Commutative Properties to put numbers that are easy to add next to each other.
D.Aimee used the Inverse Property to pair each positive decimal with a negative decimal so that they will cancel out.
Mathematics
2 answers:
vladimir2022 [97]3 years ago
8 0

The answer is 'C' <em>Aimee used the Associative and Commutative Properties to put numbers that are easy to add next to each other. </em>

<em>  </em>  I hope you have a nice day!

NemiM [27]3 years ago
6 0

Answer:

<h2>C. Aimee used the Associative and Commutative Properties to put numbers that are easy to add next to each other.</h2>

Step-by-step explanation:

The given problem is

3.50+4.00+(-1.25)+(-7.50)+5.25+2.00

Aimee's first step is

(3.50+(-7.50))+(-1.25+5.25)+(4.00+2.00)

As you can observe Aimee associated all numbers in a way that helped her to percieve clearl the operations she needs to do. That's a proper use of the associative property.

Therefore, the right answer is C., because Aimme used the associative and commutative properties to make it easier for her.

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Help asap plzz<br> -3x + 7 = -8
viva [34]

Answer:

x=5

Step-by-step explanation:

-3x+7=-8

Bring 7 to the other side, it becomes negative

-3x=-8-7

Signs are same on rhs so u add

-3x = -8+-7= -15

Bring -3 to the other side n divide

therefore,

x=-15/-3

= +5 (two negatives become positive)

Hope it helps!

8 0
3 years ago
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A nationwide survey of college seniors by the University of Michigan revealed that almost 70% disapprove of daily pot smoking. I
Whitepunk [10]

Answer:

a) P(X≥6) = 0.9614

b) P(7≤ X ≤9)  = 0.628

c) P(X≤5) = 0.0386

Step-by-step explanation:

This can be solved using the binomial distribution formula:

P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ

Where p = probability of success

           q = probability of failure = 1-p

           n = number of trials

           x = number of successful trials

We have p = 70% = 0.7

               n = 12

a) Find the probability that the number who disapprove of smoking pot daily is no less than 6 i.e. P(X≥6). This can be calculated as:

P(X≥6) = 1 - P(X<6)

        = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]

        = 1 - [¹²C₀ (0.7)⁰(0.3)¹² + ¹²C₁ (0.7)¹(0.3)¹¹ + ¹²C₂ (0.7)²(0.3)¹⁰ + ¹²C₃ (0.7)³(0.3)⁹ + ¹²C₄ (0.7)⁴(0.3)⁸ + ¹²C₅ (0.7)⁵(0.3)⁷]

         = 1 - (0.000000531 + 0.0000148 + 0.0001909 + 0.00148 + 0.00779 + 0.02911)

         = 1 - 0.0386

P(X≥6) = 0.9614

b) P(7≤ X ≤9) = P(X=7) + P(X=8) + P(X=9)

                     = ¹²C₇ (0.7)⁷(0.3)¹²⁻⁷ + ¹²C₈ (0.7)⁸(0.3)¹²⁻⁸ + ¹²C₉ (0.7)⁹(0.3)¹²⁻⁹

                     = 0.158 + 0.231 + 0.239

   P(7≤ X ≤9)  = 0.628

c) P(X≤5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)

               = ¹²C₀ (0.7)⁰(0.3)¹² + ¹²C₁ (0.7)¹(0.3)¹¹ + ¹²C₂ (0.7)²(0.3)¹⁰ + ¹²C₃ (0.7)³(0.3)⁹ + ¹²C₄ (0.7)⁴(0.3)⁸ + ¹²C₅ (0.7)⁵(0.3)⁷

   P(X≤5) = 0.0386

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Answer:

13.62205 is your answer

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