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Tamiku
1 month ago
9

After a (not very successful) trick or treating round, Candice has 15 Tootsie rolls and 9 Twizzlers in her pillow case. Her moth

er asks her to share some of the loot with her three younger brothers.
(A) How many different ways can she do this?

(B) How many different ways can she do this after her Mother asks her to give at least one of each type of candies to each of her brothers?
Mathematics
1 answer:
tester [12.3K]1 month ago
6 0

Solution:

There are 4 ways.

Detailed explanation:

Candice has a total of 15 + 9 = 24 candies. Since she has three younger brothers, and 24 can be divided by 3 (24/3 = 8). Both 15 and 9 can also be divided by 3 (15/3 = 5 and 9/3 = 3).

- She can distribute 5 tootsie rolls to each brother.

- She can provide 3 twizzlers to each brother.

- She can give each brother 5 tootsie rolls and 3 twizzlers (if she decides to share all her candies).

- She can give them one of each type of candy, leaving her with 12 tootsie rolls and 6 twizzlers (this would be the best option if she wants to keep some for herself).

I see four methods to accomplish this, and two methods remain after her mother instructs her to share at least one of each candy type with all three brothers.

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A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must
lawyer [12517]

Answer:

P(functioning product) =.99*.99*.96*.96 =.0.903

Step-by-step explanation:

In order for the product to function, all four probabilities must succeed, hence:

P(Part-1)*P(Part-2)*P(Part-3)*P(Part-4)

where:

P(Part-1) = 0.96

P(Part-2) = 0.96

P(Part-3) = 0.99

P(Part-4) = 0.99

Since each part is independent, we apply the formula P(A∩B) = P(A)*P(B)

P (Functioning Product) = P(Part-1)*P(Part-2)*P(Part-3)*P(Part-4)

P (Functioning Product) = 0.96*0.96*0.96*0.99*0.99

P(Functioning Product) = 0.903

3 0
2 months ago
If EF bisects CD, CG = 5x-1, GD = 7x-13, EF=6x-4, and GF = 13, find EG (MUST SHOW WORK)
AnnZ [12381]

Answer:

EG = 19

Explanation:

We have a line segment CD that is bisected at point G by EF.

The length CG is expressed as 5x - 1,

while GD measures 7x - 13.

Since G bisects CD, these lengths are equal, so:

5x - 1 = 7x - 13

Solving for x,

2x = 12

x = 6

Further, EF equals 6x - 4, and GF is 13.

Because EF = EG + GF,

we write 6x - 4 = EG + 13

Rearranged, EG = 6x - 17

Substituting x = 6,

EG = 6*6 - 17

EG = 19

This is the final value.

I hope this helps you understand the solution.

3 0
3 months ago
Type two statements that use nextint() to print 2 random integers between (and including) 100 and 149. end with a newline. ex: 1
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Note: The solution is highlighted.

 

import java.util.Scanner;

import java.util.Random;

public class RandomGenerateNumbers {

public static void main (String [] args) {

Random randomGenerator = new Random();

int seed = 0;

seed = 4;

randomGenerator.setSeed(seed);

System.out.println(randomGenerator.nextInt(50) + 100);

System.out.println(randomGenerator.nextInt(50) + 100);

return;

}

}

4 0
3 months ago
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Last Sunday, the average temperature was 8\%8%8, percent higher than the average temperature two Sundays ago. The average temper
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Answer: Either T + 0.08T or 1.08T

Work Shown:

T represents the average temperature in Celsius from two Sundays ago.

8% converts to 0.08 by calculating 8/100.

The 8% of T can be expressed as 0.08T.

L indicates the average temperature from last Sunday.

L is defined as being 8% above T.

L equates to T plus 8% of T.

L becomes T + 0.08T.

L can also be written as 1.00T + 0.08T.

Thus, L can be succinctly summarized as (1.00 + 0.08)T.

This simplifies to L = 1.08T.

In this context, 1.08 signifies that L represents 108% of T.

3 0
2 months ago
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