Find the distance between the points (2, 10) and (-6, -7)
1 answer:
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Answer:
B. Up 1 and 2 to the left
Step-by-step explanation:
The second graph (blue) is up 1 and 2 left of the first graph (red).
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You can compare the given equations to the form ...
y = a(x -h)^2 +k
For the first graph, we have (h, k) = (6, -1).
For the second graph, we have (h, k) = (4, 0).
Then the amount added to the first to make the second is ..
(4, 0) -(6, -1) = (-2, 1) . . . . . . a translation 2 left and 1 up
Answer:
C. unlikely
Step-by-step explanation:
Problems of normally distributed samples can be 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.
A probability is said to be extremely likely if it is 95% or higher, and extremely unlikely if it is 5% or lower. A probabilty higher than 50% and lower than 95% is said to be likely, and higher than 5% and lower than 50% is said to be unlikely.
In this problem, we have that:
How likely is it that a single survey would return a mean of 30%?
We have to find the pvalue of Z when X = 0.30.
has a pvalue of 0.1587.
So the correct answer is:
C. unlikely