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inysia [295]
3 years ago
6

Solve: 9^2x + 1 = 9^3x – 2

Mathematics
2 answers:
nirvana33 [79]3 years ago
7 0

Answer:

1/216

Step-by-step explanation:

Move variables to one side and constants to the other

9^3x-9^2x=3

factor out 9^2x

(9^2x)(8)=3

9^2x=3/8

3^4x=3/8

3^3x=1/8

x=1/8 x 27

x=1/216

kipiarov [429]3 years ago
6 0

Answer:

x = 1/216

Step-by-step explanation:

Simplify the equation, like the powers.

81x + 1 = 729x - 2

Subtract 729x on both sides to balance the equation.

-648x + 1 = - 2

Then subtract 1 from both sides.

-648x = -3

Finally divide by -648, which then leaves x equal to 1/216

x = 1/216

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A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 6.5 i
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The probablity that the sample's mean length is greate than 6.3 inches is0.8446.

Given mean of 6.5 inches,standard deviation of 0.5 inches and sample size of 46.

We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.

Probability is the likeliness of happening an event. It lies between 0 and 1.

Probability is the number of items divided by the total number of items.

We have to use z statistic in this question because the sample size is greater than 30.

μ=6.5

σ=0.5

n=46

z=X-μ/σ

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σ is standard deviation.

First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.

z=6.3-6.5/0.5

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p value from z table is 0.3446

Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.

Hence the probability that the mean length is greater than 6.3 inches is 0.8446.

Learn more about probability at brainly.com/question/24756209

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