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In the following exercise, does the problem involve permutations or combinations? Explain your answer. One hundred people purc

Blizzard [7]

Answer: Permutation is involved , since order of prizes matters.

The number of different ways the prizes can be awarded =95060

Step-by-step explanation:

Given : Total number of people purchase lottery tickets =100

The number of prizes = 3

Since each prize can be claimed by only one person.

So order matters here, there for we use permutations .

The number of permutations of n objects taken m at a time is given by :-

$^nP_m=\dfrac{n!}{(n-m)!}$

Then, the number of different ways the prizes can be awarded :-

$^{100}P_{3}=\dfrac{100!}{(100-3)!}=\dfrac{100!}{97!}\\\\=100\times98\times97=950600$

0 0

3 years ago

A large company put out an advertisement in a magazine for a job

vova2212 [387]

Answer:

<em>C(19)=12 responses</em>

Step-by-step explanation:

<u>Exponential Decay Function</u>

The exponential function is frequently used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function can be expressed as follows:

$C(t)=C_o\cdot(1-r)^t$

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The company puts out an advertisement for a job opening. Initially, the company got 90 responses to the advertisement. Each day, the responses declined by 10%.

This is an example where the decay model can be used to calculate the responses to the advertisement at the day t.

The initial value is Co=90, the decaying rate is r=10% = 0.10. The model is written as:

$C(t)=90\cdot(1-0.1)^t$

Calculating:

$C(t)=90\cdot(0.9)^t$

We are required to calculate the number of responses at day t=19, thus:

$C(19)=90\cdot(0.9)^{19}$

C(19)=12 responses

8 0

2 years ago

Part III: Find the unknown side lengths, AB and BC. HINT: Use either the Pythagorean Theorem or special right triangle propertie

yaroslaw [1]

The measurement of sides AB, BC, and AC will be 3 units,3 units, and 3√2 units respectively.

<h3>What is a right-angle triangle?</h3>

If any of its inner angles is 90 degrees, the triangle is said to be right-angled. Another term for this triangle is the right triangle or 90-degree triangle.

From the given triangle, it is observed that one of the angles is 90°, showing the given triangle is a right-angle triangle.

From the Δ ABC we found;

tan 45° = AB/BC

1=AB/BC

AB=BC

sin 45° = AB/AC

(1/√2)=AB/AC

AC = √2 AB

From the graph, it is observed that

AB=BC =3 units

AC= √2 AB

AC = 3√2 units

Hence, the measurement of sides AB, BC, and AC will be 3 units,3 units, and 3√2 units respectively.

To learn more about the right-angle triangle, refer;

brainly.com/question/3770177

#SPJ1

4 0

1 year ago

Vicki has 210 baseball cards and buys an additional 15 cards every week. Jeb has 275 baseball cards and buys an additional 10 ca

yKpoI14uk [10]

It will be after 13 weeks.

8 0

2 years ago

Read 2 more answers

Janet has three times as many dimes as nickels and twice as many quarters as nickels. If she has $5.10 in all, how many nickels,

Mama L [17]

If number of nickel = n
number of dimes = 3n
number of quarters = 2n

Amount of nickel = 5n
Amount of dimes = 30n
Amount of quaters = 50n

Total Amount = <span>5n + 30n + 50n = 510

In short, Your Answer would be Option C

Hope this helps!</span>

6 0

3 years ago