Answer:
I believe it's the 10 orange marbles.
Step-by-step explanation:
Their is a 45% chance that the orange marbles will be picked.
So, you add all them up (10 + 5 + 5 + 2)=22
10/22= 0.45%
Hope my answer has helped you!
Using the permutation formula, it is found that the people can be chosen for the roles in 6840 ways.
The order in which the people are chosen is important, as there are different roles, hence the <em>permutation formula</em> is used.
<h3>What is the permutation formula?</h3>
The number of possible permutations of <u>x elements from a set of n elements</u> is given by:
In this problem, 3 people will be chosen from a set of 20 people, hence the number of ways is given by:
More can be learned about the permutation formula at brainly.com/question/25925367
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Answer:
2
Step-by-step explanation:
Look here!
Answer:
d = 7.4 cm is the distance between the two cities on the map.
Step-by-step explanation:
Let d = the distance measured on the map in centimeters (cm) between any two locations and let D be the actual distance in kilometers (km) between these same two locations.
Since the scale on the map is 1 cm = 45 km, then the ratio of the distance on the map to the actual distance is equal to 1cm/45 km; therefore the quotient of any measured distance d on the map divided by the corresponding much longer actual distance D would have to maintain (equal) this same ratio; In other words, we can set up the following proportion to solve for d given the actual distance D = 333 km as follows:
1 cm/45 km = d/D
Substituting, we get:
1 cm/45 km = d/333 km
d/333 km = 1 cm/45 km
(d/333 km)(333 km) = (1 cm/45 km)(333 km)
d = (333 km/45 km)(1 cm)
d = 7.4 cm is the distance between the two cities on the map.
Check:
1 cm/45 cm = d/333 km
1 cm/45 cm = 7.4 cm/333 km
1 cm/45 cm = 1 cm/45 km (Therefore, the distance ratio of the map has been maintained
