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Alexxandr [17]
3 years ago
5

-3x=6x + 2 solve for x

Mathematics
2 answers:
AnnyKZ [126]3 years ago
8 0

Answer:

Step-by-step explanation:

6x+3x= -2

9x= -2

x= -2/9

crimeas [40]3 years ago
6 0

Answer:

-3x=6x+2

⇒-9x=2

⇒x=-2/9

Step-by-step explanation:

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An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 180180 engin
tiny-mole [99]

Answer:

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

p_v =P(Z  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=4.6 represent the sample mean

\sigma=0.9 represent the population standard deviation

n=180 sample size  

\mu_o =4.8 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.

z 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 thetrue mean is below the specifications, the system of hypothesis would be:  

Null hypothesis:\mu \geq 4.8  

Alternative hypothesis:\mu < 4.8  

If we analyze the size for the sample is > 30 and 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{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

P-value

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

p_v =P(Z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

4 0
3 years ago
Find f(1/3) if f(n)=3n
tia_tia [17]
F(n)=3n
f(1/3)=3(1/3)
f(1/3)=1

Hope I didn't mess up for your sake
8 0
2 years ago
Find the average of these numbers to the nearest whole number. 516,497,501,528,476
defon

516+497+501+528+476= 2518

2518/5= 503.6

round up to 504

5 0
3 years ago
Eric invests $190 in a savings account earning 12% interest compounded monthly (12 times per year). What will the account balanc
kupik [55]

Answer:

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Step-by-step explanation:

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Samuel has a collection of toy cars. His favorites are the 27 red ones which make up 60%, percent of his collection.
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I'm just gonna assume that the question is what's the total number of cars he has/ the other part of his collection

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the other 40% of his collection is made up of 18 cars
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