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dmitriy555 [2]
4 years ago
11

2(x+1)+3=7 how do I solve this? Is this correct? 2(x+1)+3=7 2x + 2 +3=7 2x+2 +3=7 2x+5=7    -5     7 2x=  2 2       2  x=1

Mathematics
2 answers:
Anni [7]4 years ago
7 0

Yes, that's correct.

Here's another way to approach it:

                                          <u>2 (x + 1) + 3 = 7</u>

Subtract  3  from each side:    2 (x + 1) = 4

Divide each side by  2 :                x + 1 = 2

Subtract  1  from each side:          <em>    x  =  1


</em>

                    

kaheart [24]4 years ago
7 0
<span>You betcha! Your work is correct! Here is a little different way to solve it. So you can choose which one is simpler for you!

2(x+1)+3=7

Simplify both sides of the equation.

2(x+1)+3=7

Simplify

2x+5=7

Subtract 5 from both sides.

2x+5−5=7−5

2x=2

Divide both sides by 2.

2x / 2=2 / 2

x=1</span>
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Step-by-step explanation:

From the given information:

a. If the manufacturer stocks 120 components, what is the probability that the 120 orders can be filled without reordering components?

P(X = 0)=(^{120}_{0}) (0.03)^0 (1-0.03)^{n-0}

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b. ) If the manufacturer stocks 122 components, what is the probability that the 120 orders can be filled without reordering components?

P(X \leq 2 ) = [ P(X=0) + P(X =1) + P(X = 2) ]

P(X \leq 2 ) = [(^{122}_{0})(0.03)^0 (0.97)^{122-0}+(^{122}_{1})(0.03)^1  (0.97)^{122-1}+(^{122}_{2})(0.03)^2 (0.97)^{122-2}]P(X \leq 2 ) = [\dfrac{122!}{0!(122-0)! } \times 1 \times  (0.97)^{122}+\dfrac{122!}{1!(122-1)! } \times (0.03)  (0.97)^{121}+\dfrac{122!}{2!(122-2)! } \times 9 \times 10^{-4} \times (0.97)^{120}]

P(X \leq 2 ) = [(1 \times  1 \times  0.02433 )+(122 \times (0.03)  \times 0.025083)+(7381 \times 9 \times 10^{-4} \times 0.02586)]

\mathbf{P(X \leq 2 ) =0.2879}

(c) If the manufacturer stocks 125 components, what is the probability that the 120 orders can be filled without reordering components?

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

P(X \leq 5 ) = [(^{122}_{0})(0.03)^0 (0.97)^{122-0}+(^{122}_{1})(0.03)^1  (0.97)^{122-1}+(^{122}_{2})(0.03)^2 (0.97)^{122-2} + (^{122}_{3})(0.03)^3 (0.97)^{122-3} + (^{122}_{4})(0.03)^4 (0.97)^{122-4}+ (^{122}_{5})(0.03)^5 (0.97)^{122-5}]P(X \leq 5 ) = [\dfrac{122!}{0!(122-0)! } \times 1 \times  (0.97)^{122}+\dfrac{122!}{1!(122-1)! } \times (0.03)  (0.97)^{121}+\dfrac{122!}{2!(122-2)! } \times 9 \times 10^{-4} \times (0.97)^{120} + \dfrac{122!}{3!(122-3)! }*(0.03)^3(0.97)^{122-3)}+ \dfrac{122!}{4!(122-4)! }*(0.03)^4(0.97)^{122-4)} +\dfrac{122!}{5!(122-5)! } *(0.03)^5(0.97)^{122-5)}]

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