When you have to repeatedly take the same test, with constant probability of succeeding/failing, you have to use Bernoulli's distribution. It states that, if you take 
tests with "succeeding" probability 
, and you want to "succeed" k of those n times, the probability is
In your case, you have n=18 (the number of tests), and p=0.3 (the probability of succeeding). We want to succeed between 8 and 12 times, which means choosing k=8,9,10,11, or 12. For example, the probability of succeeding 8 times is
you can plug the different values of k to get the probabilities of succeeding 9, 10, 11 and 12 times, and your final answer will be
Answer:
Write an equation that models the relationship between these variables. ... On Patricia's dairy farm, her cows produce an average of 3.8 gallons of milk per ... Define variables for the number of gallons of milk produced and the ... of milk produced. AND let in represent the number of minutes spent milking.
Step-by-step explanation: now you try
Answer:
600 yd none in miles
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
<u>Step 1: Round to the nearest whole number</u>
81.46
<em>81</em>
<em />
Answer: 81
Answer:
Step-by-step explanation:
If we open the surface of the pole and lay it flat, we will get a rectangle with the red stripe as a diagonal.
l = 260 cm.
The width of the rectangle is enough for two revolutions (i.e., twice the circumference).
w = 2C = 2 × 2πr = 4π × 14/2 = 28π cm = 87.96 cm
Length of stripe
The stripe is the diagonal of the rectangle.
d² = 260² + (28π)² = 67 600 + 87.96² = 67 600 + 7738 = 75 338
d = √(75 338) = 274.5 cm
Angle with horizontal
tanθ = 260/(28π) = 260/87.96 =2.956
θ = arctan2.956
θ = 71.3°
The stripe is 
long and the angle with the horizontal is 
.
