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3 years ago

I WILL AWARD BRAINLIEST!! PLEASE HELP!!

Mathematics

1 answer:

dimulka [17.4K]3 years ago

6 0

Answer:

the absolute value inequality in the form |x-b|c that has the solution set x≤−9 or x≥−5. lol jk

Step-by-step explanation:

|x−b|=c

Since we need three conditions that need to be met, we will opt for presenting three different expressions as a solution.

Case 1

One solution: x=−9

One expression that satisfies this condition is

(c = 0, b = -9 )

|x + 9|=0

|-9 + 9|=0

Case 2

All numbers such that x≤5

The solutions that satisfy this case can be found in the attached picture below, (they were obtained with a mathematical solver.)

Case 3

All numbers such that x≤-14

i pretty sure this is it.

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2 years ago

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Answer:

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Step-by-step explanation:

We have to calculate a 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams.

The sample 1 (Fiberglass), of size n1=26 has a mean of 33.4 and a standard deviation of 2.2.

The sample 2 (Carbon), of size n2=26 has a mean of 42.8 and a standard deviation of 4.3.

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The estimated standard error of the difference between means is computed using the formula:

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{2.2^2}{26}+\dfrac{4.3^2}{26}}\\\\\\s_{M_d}=\sqrt{0.186+0.711}=\sqrt{0.897}=0.9473$

The critical t-value for a 99% confidence interval is t=2.678.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_{M_d}=2.678 \cdot 0.9473=2.537$

Then, the lower and upper bounds of the confidence interval are:

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3 years ago

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