Step-by-step explanation:
The basic form of equation:
(x-h)²=4a(y-k),
(h,k)=coordinates of vertex
(h, k+a) = coordinate of focus
For given parabola:
axis of symmetry: x=2
(h, k) =(2,-3)
(h, k+a)=(2,5)
k+a=5
-3+a=5
a=8(distance from vertex to focus on the axis of symmetry)
equation: (x-2)²=4×8(y+3)
(x-2)²= 32(y+3)
Answer:
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Step-by-step explanation:
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The equation is just 5 3/4 times 3 1/3. You make the denominators the same by multiplying them by each other. It will be 5 3/12 times 3 1/12. Now you times these two together. You can do this part yourself because it will be confusing on here. I hope i helped atleast a little.
Answer: If you are little you can use you fingers but if you are older you can try to write it down.
Step-by-step explanation:
Answer:
The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
10% of all resistors having a resistance exceeding 10.634 ohms
This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.
5% having a resistance smaller than 9.7565 ohms.
This means that when X = 9.7565, Z has a pvalue of 0.05. So when X = 9.7565, Z = -1.96.
We also have that:
So
The mean is
The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.