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3 years ago

A doughnut shop sells 30 kinds of doughnuts. in how many ways can you (a) get a bag of 12 doughnuts?

Mathematics

1 answer:

Norma-Jean [14]3 years ago

6 0

Answer:

there are 86493225 possible ways you can get a bag of 12 doughnuts

Step-by-step explanation:

since we do not care about the order of the donuts in the bag ,we will need to calculate the number of possible combinations for 30 different elements in a group of 12 , then:

Number of combinations=C= n! /[(n-r)!*r!]

where n= number of elements , r= group size

replacing values

C= n! /[(n-r)!*r!] = 30!/[(30-12)!*12!] = 86493225 possible combinations

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The area of rectangle ABCD is represented by the expression 2x2 – 13x + 21. The area of rectangle WXYZ is represented by the exp

umka21 [38]

Answer:

Step-by-step explanation:

2x²-13x+21+6x²+29x-5

=8x²+16x+16

5 0

3 years ago

Find and interpret the mean absolute deviation of the data. Round your answers to the nearest tenth. If necessary 101.5 98.7 95.

lesya692 [45]

Answer:

$\bar X = 100.4$

And we can calculate the deviations from each value like this:

$|101.5-100.4 |=1.1$

$|98.7-100.4 |=1.7$

$|95.4-100.4 |=5.0$

$|92.3-100.4 |=8.1$

$|109.8-100.4 |=9.4$

$|104.7-100.4|=4.3$

And the mean absolute deviation would be:

$MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93$

Step-by-step explanation:

For this case we have the following dataset given:

101.5 98.7 95.4 92.3 109.8 104.7

We can calculate the mean with the following formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = 100.4$

And we can calculate the deviations from each value like this:

$|101.5-100.4 |=1.1$

$|98.7-100.4 |=1.7$

$|95.4-100.4 |=5.0$

$|92.3-100.4 |=8.1$

$|109.8-100.4 |=9.4$

$|104.7-100.4|=4.3$

And the mean absolute deviation would be:

$MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93$

8 0

3 years ago

Doheney bake sale 1 1/2 dozen cookies were sold in 1/3 hour what is the unit rate for the dozens of cookies sold per hour

netineya [11]

1/3 hour = 20 minutes

1 1/2 dozen = 12 + 6 = 18 cookies

18 cookies x 3 (3 sets of 20 minutes = 1 hour) = 54 cookies per hour

5 0

3 years ago

Read 2 more answers

For f(x) = 1/3x +5 f(3) =

Mrrafil [7]

Answer:

f(3) = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 1/3x + 5

f(3) is x = 3

Step 2: Evaluate

Substitute: f(3) = 1/3(3) + 5
Multiply: f(3) = 1 + 5
Add: f(3) = 6

3 0

3 years ago

Plsss help me thanks :D

RSB [31]

Answer:

Step-by-step explanation:

First you would find y because two or more of the numbers have it. Then you would be able to solve for x

7 0

2 years ago