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Jet001 [13]
3 years ago
7

What is the solution to |x + 2| < 1?

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
8 0

Answer:

-3 <x <-1

Step-by-step explanation:

|x + 2| < 1

There are two solutions, one positive and one negative ( remember to flip the inequality for the negative)

x+2 <1    and  x+2 > -1

Subtract 2 from each side

x+2-2 < 1-2  and  x+2-2 > -1-2

x < -1      and       x >-3

-3 <x <-1

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A soft-drink machine at a steakhouse is regulated so that the amount of drink dispensed is normally distributed with a mean of 2
AnnZ [28]

Answer:

z=\frac{203-200}{\frac{15}{\sqrt{9}}}=0.6    

p_v =P(z>0.6)=0.274  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can't conclude that the true mean is not significantly higher than 200 at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=203 represent the mean height for the sample  

\sigma=15 represent the population standard deviation

n=9 sample size  

\mu_o =200 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 200, the system of hypothesis would be:  

Null hypothesis:\mu \leq 200  

Alternative hypothesis:\mu > 20  

If we analyze the size for the sample is < 30 but we  know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{203-200}{\frac{15}{\sqrt{9}}}=0.6    

P-value

Since is a one sided test the p value would be:  

p_v =P(z>0.6)=0.274  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can't conclude that the true mean is not significantly higher than 200 at 5% of signficance.  

8 0
3 years ago
Can somebody pls help me!! :(( it’s due today
Lemur [1.5K]

Answer: $4110.8 (more likely - 95% sure) or $2,107 (less likely)

Step-by-step explanation: It could be $4110.8 because you have the take the total they made and subtract is from the cost of the toys ($7,230-$2,450=$4,780). Then you have to take the result of that and get 14% of it, then subtract that from the $4,780 amount. Then you get the final answer which is $4110.8.

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However, it could also be $2,107 because the question itsn't that clear in the second sentence. It could be saying that $2,450 is the price of the toys (which is what I assumed above), or that it is the profit that the $2,450 (which I used below). I think that the above answer is more likely because if not then the first number would never be used. Anyways here is the second way it could be.

Step-by-step explanation: It could be $2,107 because you take the profit ($2,450) and get 14% of it, then subtract that from the $2,450 amount. Then you get the final answer which is $2,107.

If I was you, I would do the first one ($4110.8) because I really think it is that one. I just put the other one here just in case.

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Answer:

1 zillionaire rbdgdhdndimoobenh

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Assume the amount you can spend on car payments is 50% of your monthly surplus.
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773.77*0.5=386.88 hope i helped
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A rotation on its axis of 180 degrees
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