Answer:
pumpkin because it got the most sold
Answer:
x = 115
Step-by-step explanation:
The chord- chord angle x is half the sum of the arcs intercepted by the angle and its vertical angle, that is
x =
(145 + 85) = 0.5 × 230 = 115
Answer:
The probability that at most 3 attempts are required to produce a craft item with satisfactory quality is 0.9375
Step-by-step explanation:
Let E be a random variable denoting the event that an artist makes a craft item with satisfactory level.
Then the random variable E follows a Geometric distribution.
A Geometric distribution is defined as the number of failures (<em>k</em>) before the first success.
The probability function of Geometric distribution is:
, <em>p</em> = Probability of success and <em>k</em> = 0, 1, 2, 3...
The probability of success is, <em>p</em> = 0.5 and the number of failures is, <em>k</em> = 3.
Compute the probability of at most 3 attempts before the first success is:
![P(X\leq 3) =P(X=3)+P(X = 2)+P(X=1) +P(X = 0)\\=[(1-0.5)^{0}*0.5]+[(1-0.5)^{1}*0.5]+[(1-0.5)^{2}*0.5]+[(1-0.5)^{3}*0.5]\\=0.9375](https://tex.z-dn.net/?f=P%28X%5Cleq%203%29%20%3DP%28X%3D3%29%2BP%28X%20%3D%202%29%2BP%28X%3D1%29%20%2BP%28X%20%3D%200%29%5C%5C%3D%5B%281-0.5%29%5E%7B0%7D%2A0.5%5D%2B%5B%281-0.5%29%5E%7B1%7D%2A0.5%5D%2B%5B%281-0.5%29%5E%7B2%7D%2A0.5%5D%2B%5B%281-0.5%29%5E%7B3%7D%2A0.5%5D%5C%5C%3D0.9375)
Therefore, the probability that at most 3 attempts are required to produce a craft item with satisfactory quality is 0.9375.
Answer:
2 and 3.
Step-by-step explanation:
2. and 3.
the total number of paintings depend upon the number of weeks that have passed as she adds 3 paintings every week to her collection.
1. can't be an option as output values depend upon the input values and hence not independent
4. can't be an option because each week that passes she adds 3 more paintings and since one input has 3 outputs, its not a function.
5. the number of weeks is the input value and number of paintings is the output value as you can later SEE how many paintings she has, not how many weeks it took her.