Answer:
x=-224/229,
y=296/229,
z=118/229
Step-by-step explanation:
-5x-7y-4z=-6
6x+2y+3z=-2
-x+2y-7z=0...........( multiple with (-5) and sum with 1st equation, mult with 6 and sum with 2nd equation)
______________
-x+2y-7z=0
-17y+31z=-6.....(mult with 14)
14y-39z=-2.....(mult with -17) then sum
___________
-x+2y-7z=0
-229z=-118, so here we have z=118/229.
14y-39*(118/229)=-2, from here we have y=296/229
-x+2*(296/229)-7*(118/229)=0, we get that x=-234/229
In the same way you can do this in the matrix form>>
Using the Empirical Rule and the Central Limit Theorem, we have that:
- About 68% of the sample mean fall with in the intervals $1.64 and $1.82.
- About 99.7% of the sample mean fall with in the intervals $1.46 and $2.
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
<h3>What does the Central Limit Theorem state?</h3>
By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
In this problem, the standard deviation of the distribution of sample means is:
![s = \frac{0.657}{\sqrt{50}} = 0.09](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B0.657%7D%7B%5Csqrt%7B50%7D%7D%20%3D%200.09)
68% of the means are within 1 standard deviation of the mean, hence the bounds are:
99.7% of the means are within 3 standard deviations of the mean, hence the bounds are:
More can be learned about the Empirical Rule at brainly.com/question/24537145
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Answer:
The fourth option - t = 3, y = 5
Step-by-step explanation:
-8 + t becomes -5, thus t is 3 since -8 + 3 = -5.
-12 becomes -2y - 2, so we can set these equal to each other as -2y - 2 = -12 and solve from there. Add 2 to both sides, -2y = -10, then divide by -2 on both sides, y = 5.
Answer:
i think is b
Step-by-step explanation:
Answer:
The answer is 4 minutes
Step-by-step explanation:
I divided 825 by 3 and got 165. If you multiply 165 by all the factors, you get approximately 4 minutes. It's the closest. Try that one.