No. In order to be proportional, y must change directly with x.
Looking at the first two pieces of data, let's find the ratio between x and y.
2/5 and 3/6. These should be equivalent of the table is proportional.
Answer:
720
Step-by-step explanation:
first, to figure out the side lengths you do 12*10 = 120 then 120*6 = 720 (because those sides are all equivalent)
Answer:
39,916,800ways
Step-by-step explanation:
This arrangement is permutation. Since it is a circular arrangement, the formula for calculating arrangement of objects sitting in a circular path is (n-1)! where n is the number of objects. Applying this formula in the question, the 12 students will sit in a circle in (12-1)! ways.
(12-1)! = 11!
= 11×10×9×8×7×6×5×4×3×2×1
= 39,916,800ways
Joanna can assemble her bracelet in 30 ways.
<h3>How to find the number of ways in which the bracelet can be assembled?</h3>
It is given that Joanna has 6 beads and of those 6 beads, 2 are of the same color.
The rest 4 are of different colors.
Six beads can be arranged in a circle in 6!/6 ways.
This means that the six beads can be arranged in 5! ways.
Since this is a bracelet, it can be flipped around. Therefore, it can be arranged in 5!/2 ways.
5!/2 = 5*4*3*2*1/2
= 60
Now, we know that two beads are of the same color. Therefore, we must divide this by two again.
Therefore, we get:
60/2 = 30
The six beads can be arranged in 30 ways to make the bracelet.
Therefore, we have found that Joanna can assemble her bracelet in 30 ways.
Learn more about permutations here: brainly.com/question/1216161
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