Hmm, I need someone to answer this. Just answer it right, if you don't know it then don't answer, It's annoying. It's probably r
1 answer:
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Answer:
Null hypothesis:
Alternative hypothesis:
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so then we can conclude that the mean pressure for the automobile engines is not significantly less than 7.3 at 1% of significance.
Step-by-step explanation:
1) Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
2) State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean pressure is lower than the specificated value 7.3, the system of hypothesis are :
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(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".
3) Calculate the statistic
We can replace in formula (1) the info given like this:
4) P-value
Since is a one-side lower test the p value would given by:
5) Conclusion
If we compare the p value and the significance level given we see that
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the mean pressure for the automobile engines is not significantly less than 7.3 at 1% of significance.
Answer:
Option D
Step-by-step explanation:
Let an exponential function
Where a=Constant
We know that
Therefore,
Point (0,0) can not be obtained by exponential function.
Hence,option A and C are incorrect.
Substitute (0,1)
Substitute (1,2)
Hence, option B is incorrect.
D.(0,1),(1,3),(2,9),(3,27)
Hence, option D is correct.
Start with the answer format we want, and work your way toward forming a single fraction like so
Compare that last expression to (2x+1)/(x+2). Notice how the ax and 2x match up, so a = 2 must be the case.
Then we have 2a+b as the remaining portion in the numerator. Plugging in a = 2 leads to 2a+b = 2*2+b = 4+b. Set this equal to the +1 found in (2x+1)/(x+2) to have the terms match.
So, 4+b = 1 leads to b = -3
Therefore, a = 2 and b = -3
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An alternative route:
I added and subtracted 4 in the third step so that I could form 2x+4, which then factors to 2(x+2). That way I could cancel out a pair of (x+2) terms toward the very end.
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Other alternative methods involve synthetic division or polynomial long division. They are slightly separate but related concepts.
<u>Answer:</u>
x < 21.01 or x > 21.49 because |x - 21.25| > 0.24
<u>Step-by-step explanation:</u>
We know that each pack of almonds is targeted to weigh 21.25 oz.and a pack must weigh within 0.24 oz of the target weight to be accepted.
Assuming x to be the weight of a given pack of almonds, we can write it as:
Now finding the range of rejected masses (x) of the almonds.
or
or
Therefore, the correct answer option is x < 21.01 or x > 21.49 because |x - 21.25| > 0.24.