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Monica [59]
2 years ago
15

Solve 4(x - 3) - 2(x - 1) >0.

Mathematics
1 answer:
Ad libitum [116K]2 years ago
6 0

Answer:

x >5

Step-by-step explanation:

4(x - 3) - 2(x - 1) >0

Distribute

4x -12 -2x +2 > 0

Combine like terms

2x -10 >0

Add 10 to each side

2x-10+10 > 10

2x>10

Divide each side by 2

2x/2 > 10/2

x >5

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A study of pollutants showed that certain industrial emissions should not exceed 2.3 parts per million. You believe a particular
Musya8 [376]

Answer:

t=\frac{3.3-2.3}{\frac{0.4}{\sqrt{9}}}=7.5    

The degrees of freedom are given by:

df=n-1=9-1=8  

And the p value would be:

p_v =P(t_{(8)}>7.5)=0.0000346  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 2.3 ppm the safe limit

Step-by-step explanation:

Information provided

\bar X=3.3 represent the sample mean in ppm

s=0.4 represent the sample standard deviation

n=9 sample size  

\mu_o =2.3 represent the value to verify

\alpha=0.05 represent the significance level

t would represent the statistic  

p_v represent the p value

System of hypothesis

We want to verify if the true mean is higher than 2,3 ppm, the system of hypothesis would be:  

Null hypothesis:\mu \leq 2.3  

Alternative hypothesis:\mu > 2.3  

The statistic for this case is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{3.3-2.3}{\frac{0.4}{\sqrt{9}}}=7.5    

The degrees of freedom are given by:

df=n-1=9-1=8  

And the p value would be:

p_v =P(t_{(8)}>7.5)=0.0000346  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 2.3 ppm the safe limit

6 0
3 years ago
3 posters cost $9.60. At this rate how many posters can you buy with $48
Ksju [112]
About 15 because 9 times 5 = 45 reminder 3 than you add 3 times 5 = 15
3 0
2 years ago
If y=3 when x=12, find y when x=24.
Brilliant_brown [7]

Answer:

y = 6

Step-by-step explanation:

24/12 = 2  

2*3 = 6

3 0
3 years ago
Read 2 more answers
How many terms are in this expression: 4x + 2 - 7w + 16y
Natali [406]

Answer:

4 terms

Step-by-step explanation:

A term is a single mathematical expression so,

4x is 1 term, +2 is another term, -7w is another term and +16y is another term.

5 0
2 years ago
Henry paid for his lunch and wrote this equation to represent the change he got back from the cashier.
d1i1m1o1n [39]
C. is most likely the correct answer
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3 years ago
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