Given:
The geometric sequence is:
1 -4
2 20
3 -100
To find:
The explicit formula and list any restrictions to the domain.
Solution:
The explicit formula of a geometric sequence is:
...(i)
Where, a is the first term, r is the common ratio and 
.
In the given sequence the first term is -4 and the second term is 20, so the common ratio is:
Putting 
in (i), we get
where
Therefore, the correct option is B.
Answer:
3.45 x 10^5 hope this helps
Using the normal distribution, the probability that a worker selected at random makes between $500 and $550 is: 2.15%.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean mu and standard deviation sigma is given by:
Z = (X - mu)/sigma
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given as follows:
mu = 400, sigma = 50
The probability is the <u>p-value of Z when X = 550 subtracted by the p-value of Z when X = 500</u>, hence:
X = 550:
Z = (X - mu)/sigma
Z = (550 - 400)/50
Z = 3
Z = 3 has a p-value of 0.9987.
X = 500:
Z = (X - mu)/sigma
Z = (500 - 400)/50
Z = 2
Z = 2 has a p-value of 0.9772.
0.9987 - 0.9772 = 0.0215 = 2.15% probability.
More can be learned about the normal distribution at brainly.com/question/15181104
#SPJ1
<h3><u>
Answer:</u></h3>
- The chance of getting a 5 or 6 in the next turn is about 40%.
<h3><u>Step-by-step explanation:</u></h3>
- => (5 + 3) ÷ (3 + 3 + 0 + 6 + 3 + 5)
- => 8 ÷ 20
- => 8/20
- => 4/10
- => 0.40
- => 0.40 x 100
- => 40%
<h3><u>Conclusion:</u></h3>
Therefore, the chance of getting a 5 or 6 in the next turn is about 40%.
Hoped this helped
The height of tower A is 1016 feet and tower B is 212 feet.
<u><em>Explanation</em></u>
Suppose , the height of tower B is 
feet.
As the height of tower A is 802 feet more than tower B , so the height of tower B will be : 
Given that, the two towers have a combined height of 1226 feet.
So, the equation will be...
Thus, the height of tower B is 212 feet and height of tower A is (212+802) feet = 1016 feet.
