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const2013 [10]
3 years ago
6

Solve the inequality -2(6+s)>-15-2s

Mathematics
1 answer:
erastova [34]3 years ago
7 0

-2(6+s) > -15-2s\qquad|\text{use distributive property}\\\\(-2)(6)+(-2)(s) > -15-2s\\\\-12-2s > -15-2s\qquad|\text{add 2s to both sides}\\\\-12 > -15\qquad TRUE\\\\Answer:\ ALL\ REAL\ NUMBERS\to s\in\mathbb{R}

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Step-by-step explanation:

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Irene's account has $75 less than it did before on Monday. This is reasonable because she wrote checks for $200 but only deposit
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Alright, lets get started.

Given information :  Irene writes the check of 200 $ . It means the amount is deducted form here account.

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8 0
4 years ago
A 99% confidence interval (in inches) for the mean height of a population is 65.7 < μ < 67.3. This result is based on a sa
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Answer:

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66.5 +1.976* 0.3065= 67.11

And the 95% confidence interval would be givne by (65.89; 67.11)

Step-by-step explanation:

For this case we have a 99% confidence interval for the true mean hegiht givne by:

65.7 \leq \mu \leq 67.3

And we can begin finding the mean with this formula:

\bar X= \frac{65.7 +67.3}{2}= 66.5

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The sample size for this case is n = 144 then the degrees of freedom are given by:

df = n-1= 144-1=143

And then we can find a critical value for a 99% of confidence and 143 degrees of freedom using a significance level of 0.01 and we got:

t_{\alpha/2}= 2.61

Then the standard error is given by:

SE = \frac{ME}{t_{\alpha/2}}= \frac{0.8}{2.61}= 0.3065

Now we can find the other critical value for 95% of confidence and we got:

t_{\alpha/2}= 1.976

And the new confidence interval would be given by:

66.5 -1.976* 0.3065= 65.89

66.5 +1.976* 0.3065= 67.11

And the 95% confidence interval would be givne by (65.89; 67.11)

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