Answer:
the 4th answer I(x) = P(x-4)
Step-by-step explanation:
the first 2 options are out, because just adding values to the functional result values changes the y value, and the curve is pushed up or down. but not to the side.
just imagine
I(x) = P(x-4) means that the function value of previously at x-4 happens now at x. 4 units "later" (or more to the right).
"x+4" would make the functional value at previously x+4 happen now at x. so, everything would shift to the left (happen "earlier").
therefore, the 4th answer option is correct.
Answer:
68%
Step-by-step explanation:
The Standard Deviation Rule = 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.
From the question,
Step 1
We have to find the number of Standard deviation from the mean. This is represented as x in the formula
μ = Mean = 61
σ = Standard Deviation = 8
For x = 53
μ - xσ
53 = 61 - 8x
8x = 61 - 53
8x = 8
x = 8/8
x = 1
For x = 69
μ + xσ
69 = 61 + 8x
8x = 69 - 61
8x = 8
x = 8/8
x = 1
This falls within 1 standard deviation of the mean where: 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
Therefore, according to the Standard Deviation Rule, the approximate percentage of daily phone calls numbering between 53 and 69 is 68%
<span>commutative property of addition
answer is
</span><span>A. 12 + 6 + 15 = 12 + 15 + 6</span>
The value of 'y' is exactly 6 less than the negative fifth multiple of 'x'.