12x>9(2x-3)-15 withwork step by step will give brainliest
1 answer:
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Answer:
add 33 to both sides
Step-by-step explanation:
Given
- x - 33 = 33 ( add 33 to both sides )
- x = 66 ( multiply both sides by - 2 to clear the fraction )
x = - 132
Answer:
-3
Three feet below the initial elevation
Step-by-step explanation:
The initial elevation is 224 feet.
We take descent to be negative and ascent to be positive.
The numerical addition expression is
We simplify this to obtain:
The negative sign means Sally is 3 feet below his initial elevation
We first need to determine whether we are dealing with means or proportions in this problem. Since we are given the sample and population mean, we know that we are dealing with means.
Since we have one sample mean, this means we are creating a confidence interval for one sample (1 Samp T Int).
Normally we would check for conditions, but since this is not formulated as a "real-world scenario" type problem, it is hard to check for randomness and independence. Therefore, I will be excluding conditions from this answer.
<h3>Confidence Interval Formula</h3>The formula for constructing a <u>confidence interval for means</u> is as follows:
We are given these variables:
Plug these values into the formula for the confidence interval:
In order to find t*, we can use this formula:
Calculating the z-score associated with "A" will give us t*.
So, let's plug in the confidence interval 95% (.95) into the formula:
Use your calculator or a t-table to find the z-score associated with this area under the curve.. you should get:
Now, let's finish the confidence interval we created:
We can calculate the confidence interval, using this formula, to be:
We are 95% confident that the true population mean μ lies between <u>47.4697 and 52.5303</u>.