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Dmitriy789 [7]
3 years ago
7

In a state pick 4 lottery​ game, a bettor selects four numbers between 0 and 9 and any selected number can be used more than onc

e. Winning the top prize requires that the selected numbers match those and are drawn in the same order. Do the calculations for this lottery involve the combinations rule or either of the two permutations​ rules? Why or why​ not? If​ not, what rule does​ apply?
Mathematics
1 answer:
Anna [14]3 years ago
5 0

Answer:

See explanation below

Step-by-step explanation:

The calculations for this lottery <em>do not involve </em>the combinations rule because <em>the order of the numbers does matter</em>. For example, 1234 and 4321 are different although they have the same digits.

The calculations for this lottery <em>do involve</em> the permutations with replacement rule because any selected number can be used more than once.

By <em>the fundamental rule of counting</em>, there are 10*10*10*10 = 10,000 possible outcomes of the event with a probability 1/10,000 = 0.0001 each outcome.

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You need a 25% alcohol solution. On hand, you have a 225 mL of a 35% alcohol mixture. How much pure water will you need to add t
Radda [10]

You will need 252 mL of pure water to obtain 0.25 mL of the desired 25% solution.

If we add X amount of water to the solution, the total amount of solution is 375+X.

And that must be 25%.

<h3>What is the amount of solute in the current solution?</h3>

The amount of solute in the current amount of solution is

0.6(375)=225.

That amount won't change by adding water.

So we set up the equation so that the amount of solute divided by the new total amount of solution equals 25%.

225/(375+X)=0.25

cross multiply and solve

225/0.25=(375+X)

900-375=X

X=525

The pure water will you need to add to obtain the desired solution is 525.

Then we check 225/(375+525)=0.25.

To learn more about the mixture problem visit:

brainly.com/question/24647756

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7 0
2 years ago
25 seats in his classroom and 25 students. He wants to know how many seatting arrangements there are. How would you solve
Kipish [7]
He needs to have 5 rows of 5 seats if there will be 25 people because 5 x 5 = 25
4 0
3 years ago
First person to correctly answer will get brainliest
PtichkaEL [24]

Answer:

A = 20%         B = 36%

Step-by-step explanation:

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2/10 = who bought model A = 20%

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3 0
3 years ago
A sphere has a radius of 11 feet. A second sphere has a radius of 8 feet. what is the difference of the volume of the spheres
Rufina [12.5K]

Answer:

1092π ft³  

Step-by-step explanation:

The formula for the volume of a sphere is

V = ⁴/₃πr³

1. Volume of larger sphere

V₁ = ⁴/₃π (11)³ = ⁴/₃π × 1331 = 1774⅔π ft³

2. Volume of smaller sphere

V₂ = ⁴/₃π (8)³ = ⁴/₃π × 512 = 682⅔π ft³

3. Difference of volumes

V₁ - V₂ = 1774⅔π ft³ - 682⅔π ft³ = 1092π ft³ ≈ 3431 ft³

The difference of volumes of the spheres is 1092π ft³.

5 0
3 years ago
Candace goes out jogging for exercise one day. If she jogs half a mile to the high school track and then jogs 4 laps around the
horsena [70]

Answer:

1.5 miles

Step-by-step explanation:

To get the number of miles she has jogged, what we need do is to add the distance she jogged to the high school track and the distance of the tracks

We know from the question that the laps are 0.25 miles each and there are 4. The total number of miles jogged around is thus 4 * 0.25 = 1 mile

If we now add this to the former half mile, we have the following:

1 + 0.5 = 1.5 miles

7 0
3 years ago
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