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ICE Princess25 [194]
2 years ago
10

Solve for x: 3 < x + 3 < 6

Mathematics
2 answers:
nirvana33 [79]2 years ago
5 0

Answer:

0 < x  < 3

Step-by-step explanation:

3 < x + 3 < 6

Subtract 3 from all sides

3-3 < x + 3-3 < 6-3

0 < x  < 3

agasfer [191]2 years ago
3 0

Steps to solve:

3 < x + 3 < 6

~Subtract 3 to all sides

3 - 3 < x + 3 - 3 < 6 - 3

~Simplify

0 < x < 3

Best of Luck!

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A vendor converts the weights on the packages she sends out from pounds to kilograms (1kg approximately equals 2.2 pounds).
Alexxx [7]

Answer:

a) b) the standard deviation and the mean is affected by the conversion factor as well

c)  the mean is displaced by b units

Step-by-step explanation:

for a new variable

Y=a*X  , where a= constant (conversion factor= 1 kg/2.2 pounds)

then

p(y)= p(a*X) = p(X)

a) mean =μ=E(Y)= ∑ a*X*p(y) = a ∑ X*p(x) = a* E(X)

mean =μ=a*μₓ

b) σ² = ∑ (Y-μ)²* p(y) =  ∑ (a*X-a μₓ)²* p(y) = a²*∑ (X-μₓ)²* p(x) = a²*σₓ²

then

standard deviation = σ= √σ²=√(a²*σₓ²) = a*σₓ

standard deviation = σ= a*σₓ

then the standard deviation and the mean is affected by the conversion factor as well

c) nevertheless for a displacement b

Y₂=X + b (b= constant= 50 gr)

p(Y₂)= p(X + b) = p(X)

then

mean =μ=∑ (X-b)*p(y)=∑ X*p(x)- b ∑ p(x) = E(X) -

mean =μ=μₓ - b

then the mean is displaced by b units

7 0
3 years ago
What is the range of 17, 12, 28, 21, 14, 74, 32, 14, 25, 23
natita [175]

Answer:

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8 0
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Read 2 more answers
Complete the explanation of the procedure that can be used to solve 5[3(x + 4) − 2(1 − x)] − x − 15 = 14x + 55. Then solve the e
Debora [2.8K]

Answer:

x =  2.

Step-by-step explanation:

5[3(x + 4) − 2(1 − x)] − x − 15 = 14x + 55

5[3x + 12 - 2 + 2x] - x - 15 = 14x + 55

5[5x + 10] - x - 15 = 14x + 55

25x + 50  - x - 15 = 14x + 55     Now we subtract 14x from both sides:

25x + 50  - x - 15  - 14x = 14x - 14x + 55

10x + 50 - 15 = 55 Now we subtract  50, add 15 to both sides:

10x + 50 - 50 - 15 + 15 = 55 - 50 + 15    

10x =  20

x = 2.

8 0
2 years ago
Caleb started with 50 bacteria for his science experiment and they doubled in one day. Jenna also started with 50 bacteria for h
MrRa [10]

Answer: B

Step-by-step explanation:

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4 0
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