Answer:
Original function:
f(x) = log2(x)
Transformed function:
f(x) = -log2(x - 1) + 2
The transformation process is to take f(x)=log2(x) and shift it to the right 1 unit and shift 2 units up. Then flip it down.
A log cannot have a negative value for an argument. Set the argument greater than zero.
x - 1 > 0
x > 1
The domain is all values greater than 1.
To find the range, use the domain.
Evaluate f(1.00001), f(2) , f(200), and f(2000)
Then use those values to determine the range.
Answer:
51.60% probability that a randomly selected adult has an IQ between 86 and 114.
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.
In this problem, we have that:

Find the probability that a randomly selected adult has an IQ between 86 and 114.
Pvalue of Z when X = 114 subtracted by the pvalue of Z when X = 86. So
X = 114



has a pvalue of 0.7580
X = 86



has a pvalue of 0.2420
0.7580 - 0.2420 = 0.5160
51.60% probability that a randomly selected adult has an IQ between 86 and 114.
Answer:
y = - 1
Step-by-step explanation:
Given
2y - 3(4y - 3) = 9y + 28 ← distribute and simplify left side
2y - 12y + 9 = 9y + 28
- 10y + 9 = 9y + 28 ( subtract 9y from both sides )
- 19y + 9 = 28 ( subtract 9 from both sides )
- 19y = 19 ( divide both sides by - 19 )
y = - 1
The slope would be 11/5. you would do y2-y1/x2-x1 to give you your slope