Answer:
166,649.
Step-by-step explanation:
49
∑ (2n + 1)^2 = 4∑n^2 + 4∑n + 49
0
= (4/6)n(n +1)(2n + 1) + 4/2 n(n + 1) + 49
= 2/3 * 49* 50 *99 + 2*49*50 + 49
= 161700 + 4900 + 49
= 166649
Answer:
I think the answer is 1280
Answer:
3n+16
Step-by-step explanation:
three times: (3) a number n +16
(3)n+16 or 3xn+16
3n+16
Let one leg be x. Hypotenuse = 10
x² + x² = 10²
2x² = 10²
<span>2x² = 100
</span>
<span>x² = 100/2
</span>
x² = 50
x = √50
x = √(25 *2)
x = √25 * √2 = 5√2
x = 5√2 ≈ 5*1.414 = 7.07
Length of each leg ≈ 7.07
Answer:
A score of 88.72 corresponds to the 80th percentile.
Step-by-step explanation:
Problems of normal distributions can be 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.
Mean 82 and standard deviation 8
This means that
What score would correspond to the 80th percentile
This is X when Z has a pvalue of 0.8, so X when Z = 0.84.
A score of 88.72 corresponds to the 80th percentile.