Answer:
Consider the parent logarithm function f(x) = log(x)
Now,
Let us make transformations in the function f(x) to get the function g(x)
•On streching the graph of f(x) = log(x) , vertically by a factor of 3, the graph of y = 3log(x) is obtained.
•Now, shrinking the graph of y = 3log(x) horizontally by a fctor of 2 to get the grpah of y = 3log(x/2) i.e the graph of g(x)
Hence, the function g(x) after the parent function f(x) = log(x) undergoes a vertical stretch by a factor of 3, and a horizontal shrink by a factor of 2 is
g(x) = 3 log(x/2) (Option-B).
Answer:
3.66
Step-by-step explanation:
Answer:
3, 15
Step-by-step explanation:
1/10 of a unit also just means dividing by 10. 1/2 is just dividing by 2. Hope this helped!
Answer:
68 %
Step-by-step explanation:
The Empirical rule formula states that:
• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
Mean of 96 and a Standard deviation of 17
Applying , the first empirical rule for 1 standard deviation from the mean, we have:
μ - σ
96 - 17
= 79
μ + σ
96 + 17
= 113
Therefore, the percentage of IQ scores that are between 79 and 113 is 68%
Answer: $450
Step-by-step explanation:
We can form an equation representing the problem. The question is essentially asking 60% of what is equal to $270. If we define that what as a variable 'x', we get the following:
Multiply both sides by 100:
Divide both sides by 60 to solve for the value of 'x':
Answer is 450 bucks
We can check this answer by taking 60% of $450. In principal, this should return the discount of $270.
Yup, it checks out
