Ryan has the numbers 1–30 listed on individual index cards. If Ryan randomly selects 1 card, what is the probability that it will be a multiple of 3 or a multiple of 11?
Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Multiples of 11 = 11, 22
Add the number of scores above and divide by 30.
A ladder is resting against a wall. The ladder and the ground make an angle of 39° and the ladder is 14 ft long. How far away from the wall is the ladder?
16 beds * 21 square meters of space = 336
5 living * 42 square meters of space = 210
add those two up and get the total availible space of 546
Draw the graph showing the feasible region.Label the coordinates of the vertices of the feasible region.
you lean a 10foot ladder up against a wall and up that wall 8feet how far from the base of the wall is the ladder?
To determine the probability, we need to count the number of favorable outcomes (cards that are multiples of 3 or multiples of 11) and divide it by the total number of possible outcomes (total number of cards).
Step 1: Count the favorable outcomes
To find the multiples of 3 between 1 and 30, we can divide 30 by 3, which gives us 10. So, there are 10 multiples of 3 in this range: 3, 6, 9, 12, 15, 18, 21, 24, 27, and 30.
To find the multiples of 11 between 1 and 30, we can divide 30 by 11, which gives us 2.7. Since we can't have a fractional number of multiples, we can round down to 2. So, there are 2 multiples of 11: 11 and 22.
However, we need to make sure we don't count any numbers twice. The number 3 is both a multiple of 3 and 11, but we only want to count it once. Therefore, we subtract 1 from the total number of multiples of 11.
Total number of favorable outcomes = 10 (multiples of 3) + 2 (multiples of 11) - 1 (common multiple of 3 and 11) = 11
Step 2: Count the total number of possible outcomes
The total number of cards that Ryan has is 30.
Step 3: Calculate the probability
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 11 / 30 ≈ 0.367
Therefore, the probability that Ryan randomly selects a card that is a multiple of 3 or a multiple of 11 is approximately 0.367 or 36.7%.
Note: In the calculation above, we assumed that the cards are equally likely to be chosen.