1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrew-mc [135]
3 years ago
6

"How many ways can Rudy choose 4 pizza toppings from a menu of 13 toppings if each topping can only be chosen once?"

Mathematics
1 answer:
Anton [14]3 years ago
3 0

Answer:

715 ways.

Step-by-step explanation:

We are asked to find the number of ways Rudy can choose 4 pizza toppings from a menu of 13 toppings if each topping can only be chosen once.

We will use combinations formula to solve our given problem.

The number of combination n chosen r at a time is given by formula:

C(n,r)=\frac{n!}{r!(n-r)!}

C(13,4)=\frac{13!}{4!(13-4)!}

C(13,4)=\frac{13!}{4!*9!}

C(13,4)=\frac{13*12*11*10*9!}{4*3*2*1*9!}

C(13,4)=\frac{13*11*10}{2}

C(13,4)=13*11*5

C(13,4)=715

Therefore, Rudy can choose 4 pizza toppings from a menu of 13 toppings if each topping can only be chosen once is 715 ways.

You might be interested in
For the graph of f (x) = | x |, what does the origin represent?
tino4ka555 [31]

Answer:

ddfedfgfffdddddddddddd

8 0
3 years ago
In a one-way ANOVA, what is the difference between the among-groups variance MSA and the within-groups variance MSW?
LuckyWell [14K]

Answer:

MSR=MSA=\frac{SSR}{k-1}

And MSE=MSW=\frac{SSE}{N-k}

The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"  

If we assume that we have j groups and on each group from j=1,\dots,j we have n_j individuals on each group we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2  

SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2  

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2  

And we have this property  

SST=SS_{between}+SS_{within}=6750+8000=14750  

The degrees of freedom for the numerator on this case is given by df_{num}=k-1 where k  represent the number of groups.  

The degrees of freedom for the denominator on this case is given by df_{den}=df_{between}=N-k.  

And the total degrees of freedom would be df=N-1  

We can find the MSR=MSA=\frac{SSR}{k-1}

And MSE=MSW=\frac{SSE}{N-k}

The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .

And the we can find the F statistic F=\frac{MSR}{MSE}=

8 0
3 years ago
The cashier has been directed to sell an item for half off its regular price of$1.98.what is the sale price
galben [10]
$1.98 divided by 2 is $0.99
So the sale price is $0.99
4 0
3 years ago
Please help! I don’t know how to make the square roots equal to each other but I understand the other steps... kind of.
katovenus [111]

Answer:

Step-by-step explanation:

4 0
3 years ago
Solve y=x² +7 for x.<br> A. x=y-7<br> B. x=+√y +7<br> C. x=y+7<br> D. x = t√y-7
Juli2301 [7.4K]

Answer:

D. x = t√y-7

Step-by-step explanation:

aw922wazzzzqwoio2i2jn

4 0
2 years ago
Other questions:
  • Find the value of x . <br><br> A: 13/5 <br> B: 5<br> C: 19/5<br> D: 3
    5·2 answers
  • What is 4x^3 • 5x^4y^2 expanded
    10·1 answer
  • If I did this wrong pls help me !
    8·1 answer
  • At 9 A.M. You have run 2 miles. At 9:24 A.M. You have run 5 miles. What is your running rate in minutes
    15·1 answer
  • Triangle RJM has an area of 6 and a perimeter of 12. If the triangle is dilated by a scale factor of 3 centered at the origin, w
    9·1 answer
  • In a science class students learn that friction is the resistance to motion when two objects rub together the students decide to
    7·1 answer
  • Fiona drew a regular polygon that first maps directly onto itself after rotating 15 degrees. How many sides does the polygon hav
    12·1 answer
  • Litas softball team won 8 games last month and 10 this month, what was the percent change in game the team won? Was it an increa
    14·1 answer
  • Andrew has 40/100 of dollars. What are two possible combinations of coins that he could have?
    8·2 answers
  • Please help me need ASAP
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!