Answer:
a) t = 2.8982
b) 1.826
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 18 - 1 = 17
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of ![1 - \frac{1 - 0.99}{2} = 0.995([tex]t_{.995}](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7B1%20-%200.99%7D%7B2%7D%20%3D%200.995%28%5Btex%5Dt_%7B.995%7D)
). So we have T = 2.8982. This is the answer for a.
The margin of error is:
M = T*s = 2.8982*0.63 = 1.826
In which s is the standard deviation of the sample.
I believe that 4/2 would be equivalent to 4.
Answer:
B.
Step-by-step explanation:
The answer is B because if you look at the graphs it should be easy to tell
Answer:
The correct answer is third option
√5/(x²y)
Step-by-step explanation:
It is given an expression,√(55x⁷y⁶/11x¹¹y⁸)
Points to remember
Identities
xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ)
x⁻ⁿ = x¹/ⁿ
<u>To find the equivalent expression</u>
We have, √(55x⁷y⁶/11x¹¹y⁸)
By using above identity we can write,
√(55x⁷y⁶/11x¹¹y⁸) = √[(55/11) (x⁷/x¹¹) (y⁶/y⁸)]
= √[5x⁷⁻¹¹ y⁶⁻⁸]
= √[5x⁻⁴ y⁻²]
= √[5/x⁴y²]
= √5/(x²y)
Therefore the correct answer is third option
√5/(x²y)
