Answer:
The explicit formula is a
= 5 - 6n
Step-by-step explanation:
The explicit formula of the arithmetic sequence of the recursive formula
a
= first term; a
= a
+ d is a
= a + (n - 1)d, where
- d is the common difference between each two consecutive terms
- n is the position of the number
∵ The recursive formula is a
= -1 and a
= a
- 6
→ Compare it with the formula above
∴ a = -1 ⇒ 1st term
∴ d = -6 ⇒ common difference
→ Substitute them in the form of the explicit formula
∵ a
= -1 + (n - 1)(-6)
∴ a
= -1 + (-6)(n) - (-6)(1)
∴ a
= -1 + -6n - (-6)
∴ a
= -1 - 6n + 6
→ Add the like term
∴ a
= 5 - 6n
∴ The explicit formula is a
= 5 - 6n
Answer:
Q3 = 65.98 inches.
Step-by-step explanation:
Normal Probability Distribution:
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.
Normally distributed with a mean of 64.9 inches and a standard deviation of 1.6 inches.
This means that 
Find Q3, the third quartile that separates the bottom 75% from the top 25%.
This is X when Z has a pvalue of 0.75. So X when Z = 0.675.




Q3 = 65.98 inches.
Answer:
$0.98
Step-by-step explanation:
Please see attached picture for full solution.
That's "thirteen thousand sixty-five and one hundredth".