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NISA [10]
4 years ago
13

You volunteer to help drive children at a charity event to the zoo, but you can fit only 7 of the 18 children present in your va

n. how many different groups of 7 children can you drive?
Mathematics
1 answer:
yulyashka [42]4 years ago
3 0

The answer is 19,448 different groups, using the formula from permutation and combinations C (n, r) = (n!) / (r! (n-r)!) which calculates the number of times where r objects can be chosen from n object.

So,

C (17,7) = (17!) / (7! *(17-7)!)

C (17,7) = (17!) / (7! *10!)

C (17,7) = (17*16*15*14*13*12*11*10!) / (7! *10!) then eliminate 10!

C (17,7) = (17*16*15*14*13*12*11) / (7*6*5*4*3*2*1) = (98017920)(5040)

C (17,7) = 19,448 different groups

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Given O A ‾ ⊥ O C ‾ OA ⊥ OC start overline, O, A, end overline, \perp, start overline, O, C, end overline m ∠ B O C = 6 x − 6 ∘
Sphinxa [80]

Answer:

x = 8

m∠BOC = 37°

m∠AOB = 53°

Step-by-step explanation:

If OA is perpendicular to OC, this means that <AOC = 90°

Given

m∠BOC=6x−6

m ∠AOB = 5 x + 8

The expression is true

m∠BOC+m∠AOB= m∠AOC

6x-6+5x+8 = 90

Find x:

11x + 2 = 90

11x = 90-2

11x = 88

x = 88/11

x =8

Get m∠BOC:

m∠BOC= 6x-6

m∠BOC= 6(8)-11

m∠BOC = 48-11

m∠BOC= 37°

Get m∠AOB;

m∠AOB = 90-m∠BOC

m∠AOB =90-37

m∠AOB = 53°

7 0
3 years ago
Read 2 more answers
Write the equation in standard form for the circle with center (-3, -5) and radius 2
LenaWriter [7]

Answer:

see screenshot

general formula is

r² = (x - x-center)² + (y - y-center)²

6 0
3 years ago
Find the radius for the circle please show how you got ur anwser so show ur work plz and thanks
ycow [4]

Answer:

<h2>R= 6</h2>

Step-by-step explanation:

So first you would have to divide 113.04 by 3.14 and you would get 36. Next you would have to square 36 to get 6 which is your radius.

5 0
3 years ago
Find the common difference of the arithmetic sequence 1,-1, -3, ...
frutty [35]
Answer:
-2

Explanation:
The common difference of a sequence is the difference between consecutive terms. To find it, we subtract two consecutive terms.

1, -1, -3

1 and -1 are consecutive terms.
-1-1=-2

Therefore, the common difference is -2.

We can also try the same thing with -3 and -1, since they are also consecutive terms.

-3-(-1)
=-3+1
=-2

I hope this helps! Please comment if you have any questions.
4 0
3 years ago
Find the simple interest paid to the nearest cent for each loan amount, interest rate, and time.
myrzilka [38]

Answer:

I = $ 1,937.50

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3.875%/100 = 0.03875 per year,

then, solving our equation

I = 10000 × 0.03875 × 5 = 1937.5

I = $ 1,937.50

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 3.875% per year

for 5 years is $ 1,937.50.

Step-by-step explanation:

please mark brainliest:)

4 0
3 years ago
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