Luis has saved $6. he doubles the amount he saves each week.does this represent an exponential function?complete:
1 answer:
Response:
This is indicative of an exponential function, as his savings grow by a consistent factor of 2.
Detailed breakdown:
It is stated that
Luis initially saves $6 and doubles this amount every week.
This means that the savings for the following week would be 6×2 = 12.
Consequently, the savings for the third week would be 12×2 = 24.
The resulting sequence is 6, 12, 24, 48,.....
This can be expressed as 6×2⁰, 6×2¹, 6×2², 6×2³,.....
Thus, the exponential sequence is represented as , where 'n' signifies a natural number.
Furthermore, the numbers 6, 12, 24, 48,..... reflect an increase by a factor of .
Thus, we conclude that
This represents an exponential function, because his savings increase by a consistent factor of 2.
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Answer:
When x = 72, the z score is:
The average is 58
This z-score indicates that x= 72 is 1.273 standard deviations above the mean.
Step-by-step explanation:
Let’s consider the following details for this question: John's typing speed on a test is assumed to follow a normal distribution. Let X denote the number of words he can type in a minute. Hence, X ~ N(58, 11). It’s important to round the result to three decimal points if needed.
Provide your response below for words per minute on a typing test conducted on Sunday. The z score when x = 72 is
In this scenario, we acknowledge that the variable under consideration is represented by a normal distribution:
The formula for the z score is as follows:
By substituting values, we derive:
The mean is 58
This z-score indicates that x= 72 is 1.273 standard deviations higher than the mean.