Answer:
341
Step-by-step explanation:
The number of people who know the art of quilting in each successive generation is
1, 4, 16, …
These numbers represent a geometric sequence where each term has the form
aₙ = a₁rⁿ⁻¹
In your sequence, a₁ = 1 and r = 4.
Then, the formula for your sequence is
aₙ = 4ⁿ⁻¹
Sum over five generations
The formula for the sum of the first n terms of a geometric series is
Sum = a₁[(1 - rⁿ)/(1 - r)]
Sum = 1[(1 - 4⁵)/(1 - 4)
= (1 - 1024)/(-3)
= -1023/-3
= 341
If the process continues for five generations, 341 people will know the art of quilting.
Answer:
(0,4)
Y =2.5X +4
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
You must have x alone
Answer:
Step-by-step explanation:
Hi student, let me help you out!
<u>.. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ... ... ..... ........ ...... ... ......... .... ....</u>
<u></u>
First, let's recall the point-slope form equation: ↪ .
<u>where: </u> y₁ = y-coordinate of the point (the second coordinate), m=slope, x₁=x-coordinate (the first coordinate).
Let's stick in the values accordingly. We obtain the following: , which is our point-slope form equation.
Hope this helped you out, ask in comments if any queries arise.
Best Wishes!
Answer:
Required Probability = 0.605
Step-by-step explanation:
Let Probability of people actually having predisposition, P(PD) = 0.03
Probability of people not having predisposition, P(PD') = 1 - 0.03 = 0.97
Let PR = event that result are positive
Probability that the test is positive when a person actually has the predisposition, P(PR/PD) = 0.99
Probability that the test is positive when a person actually does not have the predisposition, P(PR/PD') = 1 - 0.98 = 0.02
So, probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition = P(PD/PR)
Using Bayes' Theorem to calculate above probability;
P(PD/PR) =
= = = 0.605 .