All categories

3 years ago

PLEASE REALLY NEED HELP!!

Mathematics

1 answer:

OverLord2011 [107]3 years ago

8 0

Unit rate can be found by calculating rate of change. $58.50/6 is $9.75 per hour.

You might be interested in

How many permutations of the 26 letters of the English alphabet do not contain any of the strings fish, rat, or bird

NARA [144]

The number of permutations of the 26 letters of the English alphabet that do not contain any of the strings fish, rat, or bird is 402619359782336797900800000

Let

$\mathcal{E}=\{\text{All lowercase letters of the English Alphabet}\}\\\\B=\overline{\{b,i,r,d\}} \cup \{bird\}\\\\F=\overline{\{f,i,s,h\}} \cup \{fish\}\\\\R=\overline{\{r,a,t\}} \cup \{rat\}\\\\FR=\overline{\{f,i,s,h,r,a,t\}} \cup \{fish,rat\}$

Then

$Perm(\mathcal{E})=\{\text{All orderings of all the elements of } \mathcal{E}\}\\\\Perm(B)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing bird}\}\\\\Perm(F)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing fish}\}\\\\Perm(R)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing rat}\}\\\\Perm(FR)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing both fish and rat}\}\\$

Note that since

$F \cap R=\varnothing$ , $Perm(F)\cap Perm(R)\ne \varnothing$

But since

$B \cap R \ne \varnothing$ , $Perm(B)\cap Perm(R)= \varnothing$

and

$B \cap F \ne \varnothing$ , $Perm(B)\cap Perm(F)= \varnothing$

Since

$|\mathcal{E} |=26 \text{, then, } |Perm(\mathcal{E})|=26! \\\\|B|=26-4+1=23 \text{, then, } |Perm(B)|=23!\\\\|F|=26-4+1=23 \text{, then, } |Perm(F)|=23!\\\\|R|=26-3+1=24 \text{, then, } |Perm(R)|=24!\\\\|FR|=26-7+2=21 \text{, then, } |Perm(FR)|=21!\\$

where $|Perm(X)|=\text{number of possible permutations of the elements of X taking all at once}$

and

$|Perm(F) \cup Perm(R)| = |Perm(F)| + |Perm(R)| - |Perm(FR)|\\= 23!+24!- 21! \text{ possibilities}$

What we are looking for is the number of permutations of the 26 letters of the alphabet that do not contain the strings fish, rat or bird, or

$|Perm(\mathcal{E})|-|Perm(B)|-|Perm(F)\cup Perm(R)|\\= 26!-23!-(23!+24!- 21!)\\= 402619359782336797900800000 \text{ possibilities}$

This link contains another solved problem on permutations:

brainly.com/question/7951365

6 0

3 years ago

Find the measure of each angle indicated.

ASHA 777 [7]

Step-by-step explanation:

92°

as the has given pair of angle is Alternate Exterior angle so they have same values.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

6 0

3 years ago

A pair of jeans cost $89. A jean jacket costs twice as much. What is the total cost of a jean jacket and 4 pairs of jeans

PolarNik [594]

Jean jacket cost 178$ and 4 of jeans cost 356$ total is 534

7 0

3 years ago

Choose the correct bar graph that best represents the basketball team's score data.

DENIUS [597]

Answer:

3 6 9 10 11 13

Step-by-step explanation:

the first point was a 3 pointer the other was a 3 pointer and the other one was and the rest we 1 pointer

7 0

3 years ago

The ages of john and carl add up to 28 years total. John is 20 years older than carl. How many years old is carl?

natima [27]

The correct answer would be that Carl is 4 years old. If John is 20 years older than Carl, that would make him 24. 24 + 4 = 28 years. Therefore, Carl must be 4 years old.

6 0

3 years ago