Answer:
3/18 = 1/6 =.16666666.....
.16(would be repeating)
your choice D and A are the same, and choice C and B are the same!
hope this helps!
Yes it is an imaginary number.
Answer: The required confidence interval is (56.1,66.9).
Step-by-step explanation:
Since we have given that
53.1, 60.2, 60.6, 62.1, 64.4, 68.6
![\bar{x}=\dfrac{53.1+60.2+60.6+62.1+64.4+68.6}{6}=\dfrac{369}{6}=61.5](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%3D%5Cdfrac%7B53.1%2B60.2%2B60.6%2B62.1%2B64.4%2B68.6%7D%7B6%7D%3D%5Cdfrac%7B369%7D%7B6%7D%3D61.5)
n = 6
Margin of error = 5.4
At 95% level of confidence, z = 1.96
So, the confidence interval would be
![\bar{x}\pm \text{Margin of error}\\\\=61.5\pm 5.4\\\\=(61.5-5.4,61.5+5.4)\\\\=(56.1,66.9)](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%5Cpm%20%5Ctext%7BMargin%20of%20error%7D%5C%5C%5C%5C%3D61.5%5Cpm%205.4%5C%5C%5C%5C%3D%2861.5-5.4%2C61.5%2B5.4%29%5C%5C%5C%5C%3D%2856.1%2C66.9%29)
Hence, the required confidence interval is (56.1,66.9).
I think you put each set of data in to l1 and l2 on your calculator nd find the linear regression ( r value) and you can get to the r value by going to stat diagnostic on
The discriminant is the portion of the quadratic formula under the root sign: b²-4ac
A quadratic equation in standard form is ax²+bx+c=0. In your equation:
a=1, b=2, and c=6. Substituting them into the equation:
2²-4(1)(6)
=4-24
=(-20)
When the discriminant is negative there are two, imaginary solutions.
If the discriminant equals a positive, perfect square number (like 4, 9, 16, etc), there will be two, rational roots.
If the discriminant equals a positive, nonperfect square number (like 3, 15, 23, etc), there will be two, irrational roots.
If the discriminant equals 0, there will be one double root
A quadratic equation graphs a parabola. The graph of a quadratic with a positive discriminant will pass through the x-axis twice. If the discriminant is 0, it will touch the x-axis and 'bounce' back the way it came. If the discriminant is negative, it will not touch the x-axis.