The number of ways we can have five people line up at a checkout counter in a supermarket is 120 ways.
Since order is important, we use permutations to answer the question
<h3>What are permutations?</h3>
These are the number of ways, x of arranging n objects. It is given by ⁿPₓ = n(n - 1)(n - 2)(n - 3)...(n - x + 1) = n!/(n - r)!
Since we have five people to be arranged in line, there are 5 people to be arranged in 5 places.
So, there are 5 places for the first person, 4 places for the second person, 3 places for the third person, 2 places for the fourth person and 1 place for the last person.
So, we number of permutations or number of ways of arranging them in line is ⁵P₅ = 5 × 4 × 3 × 2 × 1
= 120 ways
So, the number of ways we can have five people line up at a checkout counter in a supermarket is 120 ways.
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Answer:
a. 74°
Step-by-step explanation:
Angle BCD and angle ACB are supplementary because they form a straight line. This means they add up to 180. We can write an equation to model the situation:
m<BCD + m<ACB = 180
106 + m<ACB = 180
m<ACB = 74
Since we are given two sides of the triangle are congruent, the triangle is isosceles. The base angles of an isosceles triangle are congruent, so we can say:
m<ACB = m<A
This means m<A is equal to 74°
A typical example of a rational exponent and radicals is a^x/y = y√(a)^x
<h3>What is a rational exponent?</h3>
We have a rational exponent when a number is raised to a power such as x/y. In this case, we must know that; a^x/y is the same as y√(a)^x.
Now let me give you a specific example. Assuming that a write something like 5^3/2. This would be the same as saying √(5)^3.
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Answer:first give brainilst and i answer
Step-by-step explanation: