The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x − 4)3 − 7. The point (0, 0) on the graph
2 answers:
Answer:
The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)
Step-by-step explanation:
Notice that when we start with the function , and then transform it into the function:
what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).
Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).
then the point (0, 0) after the translation becomes: (4, -7)
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Answer:
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean 490 mg and variance of 400.
This means that
What is the probability that a randomly selected pill contains at least 500 mg of minerals?
This is 1 subtracted by the p-value of Z when X = 500. So
has a p-value of 0.6915.
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
Answer:
Option B. 1990 - 1992
Step-by-step explanation:
If we have to calculate inflation rate in year 2000 from 1990, we use the formula
which means if consumer price index is increasing year by year the inflation rate will increase.
Now we analyse our options given with the help of graph given.
A. from 1994 - 2000
Consumer price index increased from year 1994 to 1998 but decreased between 1998 to 2000.
So this option doesn't show the continuous inflation.
B. Year 1990 - 1992
We find a continuous increase in C.P.I. therefore there will be a continuous increase in inflation.
So this option is correct.
C. Year 1992 - 1996
In this gap we see deflation from year 1992 to 1994 then inflation between 1994 - 1996.
So there is ups and downs in this period showing discontinuity in inflation.
D. 1992 - 1994
There is continuous decrease in C.P.I. so continuous deflation is reported between this period.
It's not the correct option.
Answer is Option B.