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Simora [160]
3 years ago
7

Arush is reading a pop-up book. When the book is open to an angle of 105°, the wizard's wand is waving

Mathematics
1 answer:
raketka [301]3 years ago
6 0
4,5 because i took the test and just because
You might be interested in
Need help with stats!
KIM [24]

Answer:

A. a) 24

A. b) 4

B. a) 40320

B. b) 576

Step-by-step explanation:

General formula for Permutations:

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

A. Concert seats:  2 couple --- total of 4 persons.

a) without restrictions

Since there are no restrictions, but that the order is important (John, Mary, Paul, Michelle isn't the  same as Michelle, Mary, Paul, John), it's a permutation calculation.

Then we calculate the permutations of 4, out of 4, so...

P(4,4) = \frac{4!}{(4 - 4)!} = 4! = 24

24 different ways for them to sit.

b) couples together

Now, we can see the problem as having 2 levels of permutations, first the couples, then inside the couples.

There are 2 ways for the first level or order... couples AB or BA, so 2 possibilities.

Inside each couple, man then woman (MW) or woman then man (WM), so 2 possibilities there too on 2nd level.

Overall 2 * 2 = 4 ways to sit by couple.

B) Single file

a) without restrictions

Again, order is important, so another permutation, not a combination.  And since we have no restriction, it can be any sequence.

We then have to calculate the number of permutations of 8 out of 8...

P(8,8) = \frac{8!}{(8 - 8)!} = 8! = 40320

There are 40,320 ways these 8 kids can pass the door.

b) girls first.

So, the four girls have to enter first.... and these four girls can be in any order.. how many permutations? P(4,4)... so 24 as calculated above.

For the four boys, how many permutations?  Yes, again P(4,4)... so 24 again.

Overall, we need to multiply the two... 24 x 24 = 576 ways if the girls enter first, followed by the boys.

8 0
3 years ago
PLEASE HELP ASAP!!!!!! WILL GIVE BRAINLEST!!!!!
OLga [1]
I think the answer is A
hope i helped
6 0
3 years ago
My salary is £28,860 per year. What is my hourly rate of pay if I work 37 hours a week
Nostrana [21]

Answer:

pay rate £7.80

Step-by-step explanation:

28860 divide by 37 = 780

780 divided by 100 = 7.80

4 0
2 years ago
What is the solution to the following equation? (4 points) 5(2x − 6) + 20 = 10 Group of answer choices
vichka [17]

Answer:

x=2

Step-by-step explanation:

6 0
3 years ago
2. What is the product of 4 2/3 and 11 1/4?
Lerok [7]
4 \frac{3}{4} ~*~ 11\frac{1}{4} =  \frac{14}{3} ~*~ \frac{45}{4} =  \frac{630}{12}=52 \frac{6}{12}  =[52 \frac{1}{2} ]
3 0
3 years ago
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