To determine the answer to this item, we first calculate the z-scores of the given data point through the equation,
z-score = (data point - mean) / standard deviation
For 5:
z-score = (5 - 7) / 1.7 = -1.176
This translates to a percentile of 11.97.
For 10:
z-score = (10 - 7) / 1.7 = 1.76
This translates to a percentile of 96.08.
The difference between the percentiles is 84.11. Thus, 84% of the students sleep between 5 to 10 hours.
Let's look at the terms of the sequence for different values of n, starting from 0.
a₀ = 0/1 = 0
a₁ = 1/(1 +1) = 1/2
a₂ = 2/(2 + 1) = 2/3
a₃ = 3/(3 + 1) = 3/4
a₄ = 4/5
a₅ = 5/6
a₆ = 6/7
a₇ = 7/8
a₈ = 8/9
a₉ = 9/(9+1) = 9/10
a₁₀ = 10/(10+1) = 10/11 and so on
Let's look at the terms. As n gets bigger the terms gets closer to 1. We started with 0, then to one half, then two thirds, and as we get larger and larger, the terms are getting closer to 1. Let's choose a really big n and see.
a₉₉₉ = 999/(999 + 1) = 999/1000
Or an even bigger n:
a₉₉₉₉₉₉₉₉₉ = 999999999/(999999999 + 1) = 999999999/1000000000ⁿ
So as n gets really really large - and close to infinity - the terms get closer to 1.
Answer: Correct answer is D
Step-by-step explanation:
I won’t Tell you the answer but I can tell you how to do it, so take 16 3/4 and divide it by 4 and you get your answer.
Answer: the slope of y=−4x+10 is: −4.
Step-by-step explanation:
