The quotient of five and seven
2 answers:
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Answer:
1. x = +/- 2 - 7
2. x = +/-
3. n = +/-
Step-by-step explanation:
1. Divide both sides by 2: (x + 7)^2 = 8
Square root both sides: x + 7 = +/- 2
Subtract 7 from both sides: x = +/- 2 - 7
2. Square root both sides: x - 3 =
Since there is a negative inside the radical, we need to have an imaginary number: . So,
Add 3 to both sides: x = +/-
3. Divide by -5 from both sides: (n - 2)^2 = -2
Square root both sides: n - 2 =
Again, we have to use i:
Add 2 to both sides: n = +/-
Hope this helps!
Answer:
Test statistic = 3.1587
Step-by-step explanation:
We are given that the Toy-lot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A).
Also, a sample of eleven motors was tested, and it was found that the mean current was x = 1.20 A, with a sample standard deviation of s = 0.42 A.
So, Null Hypothesis, :
= 0.8 { claim of 0.8 A is not low}
Alternate Hypothesis, :
> 0.8 { claim of 0.8 A is too low}
Now, the test statistics used here will be;
T.S. = ~
where, X bar = sample mean = 1.20 A
s = sample standard deviation = 0.42 A
n = sample size = 11 motors
So, Test statistics = ~
= 3.1587
At 1% level of significance, t table gives a critical value of 2.764 at 10 degree of freedom. Since our test statistics is higher than the critical value so we have sufficient evidence to reject null hypothesis .
Therefore, we conclude that Toy-lot claim of 0.8 A is too low.