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1 year ago

An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.

Mathematics

1 answer:

weeeeeb [17]1 year ago

6 0

Answer:

$20,475\ ways$

Step-by-step explanation:

we know that

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

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

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

$n=28\\r=4$

substitute

$C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}$

simplify

$C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}$

$C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}$

$C(28,4)=20,475\ ways$

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On zeba's birthday,her uncle gift her two new dolls. in how many ways can zeba arrange all her dolls on 6 shelves, placing one d

Natasha2012 [34]

Answer:

6 is the correct answer

Step-by-step explanation:

Hope it is helpful...

3 0

1 year ago

A test tube contains 25 bacteria, 5 of which are can stay alive for atleast 30 days, 10 of which will die in their second day. 1

boyakko [2]

Answer:

c. $\frac{1}{5}$

Step-by-step explanation:

Given,

Number of bacterias who alive for at least 30 days = 5,

Bacterias who alive for 2 days = 10,

Died bacterias = 10,

Total bacterias = 5 + 10 + 10 = 25,

Ways of choosing a bacteria = $^{25}C_1$ = $\frac{25!}{1! 24!}$ = 25,

While, ways of choosing of a bacteria who will live after 1 week = $^5C_1$ = $\frac{5!}{1!4!}$ = 5,

Hence, the probability it will still be alive after one week = $\frac{5}{25}$ = $\frac{1}{5}$

OPTION C is correct.

3 0

1 year ago

I am a multiple of 60 I am between 400 and 600 I am 40 away from a multiple of 100 who am I

EleoNora [17]

Answer:

540 is the answer i think

8 0

1 year ago

Write the converse of the following statement and determine its truth value:

icang [17]

Answer:

The converse is:

if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.

The truth value is:

True

Step-by-step explanation:

The statement can be split into:

p -> If a class has 3 left-handed people and 24 right-handed people,

q -> the ratio of lefties to righties is 1:8

The converse of a conditional statement is:

if q then p

So, we have the converse to be;

if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.

The truth value.

For p, we have.

Ratio = 3 : 24

This can be simplified to.

Ratio = 1 : 8

For q, we have:

Ratio = 1 : 8

Since both are true, then the truth value is true

4 0

2 years ago

the Panthers team won exactly 2 of its 9 games. by winning all its remaining N games, the panthers ended with victories half of

emmasim [6.3K]

2+number won over 9+number played=1/2
number won=number played (number played means how many more past 9)

so
if n=number won=number played then $\frac{2+n}{9+n}= \frac{1}{2}$
times both sides by (2)(9+n)
2(2+n)=9+n
distribute
4+2n=9+n
minus n from both sides
4+n=9
minus 4 from both sides
n=5

answer is 5
test
2+5=7
9+5=14
7/14=1/2
true

n=5

5 0

1 year ago