FizzFizz soda comes in two varieties, regular and diet. If a researcher has 4 boxes of each, how many ways can he select 2 boxes of each for a quality control test?

Answers

Answer 1

Answer:

Answer:

Let {A, B, C, D} be the set of boxes of regular sodas and {a, b, c, d} be the set of boxes of diet sodas. Denote $_MC_P$ the numbers of combinations of M boxes taken P boxes. Note that the specific combination, for example, AB from the set of boxes of regular sodas is the same as the combination BA. The number of ways to pick 2 boxes from each category is $_4C_2$ . Hence, the number of ways of picking 4 boxes in which he pick 2 boxes from each category is $_4C_2$ * $_4C_2$ = 6*6 = 36.

Related Questions

Angela scored 15 points less than twice the lowest score on a math test. If her score was95, what was the lowest score on the test?
9.812 rounded to the nearest hundredth
True or false. You can replace any letter in function notation with any number.
20 points!!! please help
I need to simplify...help

A box contains 4 oranges, 9 apples, and 3 pears. Liliana selects a piece of fruit from the box at random.What is the probability that she selects an orange or a pear?

A.1 over 20

B.3 over 64

C.7 over 16

D.9 over 16

Answers

oranges+apples+pears = 4+9+3=16

oranges = 4/16
pears = 3/16
4/16 + 3/16 = 7/16

Answer:

7/16

Step-by-step explanation:

k12

My son, Garrett, is 11 years old and has a piggy bank that he wants to fill. He started with 5 one dollar bills. Every Saturday he earns 3 more dollar bills for chores he’s completed. How many one dollar bills will he have by the end of 10 weeks?1. Write a function model, M(x), that represents the total number of one dollar bills garret will have in one dollar bills, x

2. Identify the independent and dependent quantity.

3. The domain and range are represented as discrete or continuous?

4.What is a reasonable domain and range for this scenario?

Thanks for the help!

Answers

Answer:

1) M(x) = 5 + 3x

2) Dependent variable; 3 dollar bills

Independent variable: chores

3) Range is continuous

Domain is discrete

4) Range: 0 ≤ x ≤ 10

Domain: 5 ≤ M ≤ 35

Step-by-step explanation:

We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.

Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;

M(x) = 5 + 3x

After 10 weeks, total number is;

M(10) = 5 + 3(10)

M(10) = 35

The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.

After 10 weeks, the range and domain will be;

Range: 0 ≤ x ≤ 10

For the; Domain:

For x = 1, M(0) = 5 + 3(0) = 5

M(10) = 35

Thus;

Domain: 5 ≤ M ≤ 35

The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.

Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.

A sailboat has a mast that holds a triangular sail.The sail has a base of twelve meters and a height of nine meters. The cost of the sail is $15 per square meter. What will it cost to make the sail?

Answers

First since it is a triangle and it says meter square that means its an area
so the area is 1/2hb h stands for height and b stands for base
so
a=1/2bh
a=1/2(12)(9)
a=1/2(108)
a=54m^2

It says the cost of sail is $15 per square meter
so
$15*54
=$810

Why times by 54 because if 1 piece is $15 how about 54pcs?
thats why we will multiply it

Answer:

Step-by-step explanation:

Which pair of measurements is equivalent?8,600 mg, 86 g
2,500 g, 250 kg
3.4 kg, 3,400 g
480 g, 4.8 mg

Answers

480 g to 4.8 mg from different country

20 is what % greater than 5

Answers

find how much greater 20 is than 5
20-5=15
the % is of 5, so the percent is percent out of 5

20 is x% of 5 greater than 5
20=(x%)5+5
minus 5 both sides
15=(x%)5
divide both sides by 5
3=x%
percent means parts out of 100
x%=x/100
3=x/100
times 100 both sides
300=x

answer is 300%

Twice the difference of a number and 5

Answers

Answer:

Step-by-step explanation:

To express "twice the difference of a number and 5" algebraically, we can follow these steps:

Step 1: Let's represent the unknown number as 'x'.

Step 2: The difference of a number and 5 is obtained by subtracting 5 from the number, which gives us 'x - 5'.

Step 3: To find "twice the difference," we multiply the difference by 2, resulting in '2(x - 5)'.

Therefore, "twice the difference of a number and 5" can be expressed algebraically as '2(x - 5)'.

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