The first option is the correct choice of answers.
Answer:
33/10 and 55/15
Step-by-step explanation:
Possible denominators that are multiples of 5 less than 17 are 5, 10, 15.
Corresponding numerator ranges are [15, 20], [30, 40], and [45, 60]. In only two of these ranges are there any multiples of 11.
33 in [30, 40]
55 in [45, 60]
So, there are only two possible fractions meeting your requirement:
33/10 and 55/15
We have the following information:
first urn: 6 green balls and 3 red ones
total: 6 + 3 = 9
second urn: 3 green, 3 white and 3 red
total: 3 + 3 + 3 = 9
third urn: 6 green, 1 white and 2 red
total: 6 + 1 + 2 = 9
a) A green ball is more likely to be obtained, since there are more green balls than red balls, which makes the probability higher.
b) probability of drawing a green, red and white ball.
first urn:
green = 6/9 = 66.66%
red = 3/9 = 33.33%
white = 0/9 = 0%
second urn:
green = 3/9 = 33.33%
red = 3/9 = 33.33%
white = 3/9 = 33.33%
third urn:
green = 6/9 = 66.66%
red = 2/9 = 22.22%
white = 1/9 = 11.11%
c) it would be chosen where the probability of drawing green would be the highest, which means that it would be possible both in the first and in the third ballot box, the probability is equal 66.66%
d) without a green ball, the third ballot box would look like this:
5 green balls, 2 red balls and 1 white ball, with a total of 8.
The probability of drawing would be:
green = 5/8 = 62.5%
red = 2/8 = 25%
white = 1/8 = 12.5%
Answer: 30° and 330°
<u>Step-by-step explanation:</u>
sec θ = 
sec θ = 
=
cos θ = 
cos θ = 
cos θ = 
cos θ = 
Look at the Unit Circle to see that cos = at 30° and 330° ( which is equivalent to π/6 and 11π/6)
The answer is 19 units number 3
