Answer: 40 times.
Step-by-step explanation:
If the probability in a sigle spin of getting the colour pink is p = 0.2
This means that in 0.2*100% = 20% of the spins we should see the colour pink.
Then, out of 200 spins, the 20% of 200 is
(20%/100%)*200 = 0.2*200 = 40
This means that out of 200 spins, in around 40 of them we will se the colour pink.
Answer:
32
.......................................
Answer:
Therefore the probability that a pen from the first box and a crayon from the second box are selected is 
Step-by-step explanation:
Probability:
The ratio of the number of favorable outcomes to the number all possible outcomes of the event.

Given that,
Three plain pencils and 5 pens are contained by the first box.
Total number of pens and pencils is =(3+5)=8
The probability that a pen is selected from the first box is
=P(A)


A second box contains three colored pencils and three crayons.
Total number of pencils and crayons is =(3+3)=6
The probability that a crayon is selected from the second box is
=P(B)


Since both events are mutually independent.
The required probability is multiple of the events
Therefore the required probability is


1/3+1/4=7/12 because changing the denominators to make them common gives you 4/12+3/12=7/12
Answer: 19 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.
Replacing with the values given:
tan40 = 16/x
Solving for x
x =16/tan40
x= 19 ft
Feel free to ask for more if needed or if you did not understand something.