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Degger [83]
3 years ago
6

a recipe calls for cookies for 3 1/4 cups of. sugar.amy already puts in 3 1/9 cups.how many more cups does she nees t put in

Mathematics
1 answer:
prohojiy [21]3 years ago
5 0
3 \frac{1}{4}-3 \frac{1}{9}   \\  \\  \frac{13}{4} - \frac{28}{9}  \\  \\  \frac{117}{36} - \frac{112}{36}  \\  \\  \frac{5}{36}
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A coin is flipped 10 times where each flip comes up either heads or tails. How many possible outcomes (a) contain exactly two he
Tems11 [23]

Answer:

a. 45

b. 176

c. 252

Step-by-step explanation:

First take into account the concept of combination and permutation:

In the permutation the order is important and it is signed as follows:

P (n, r) = n! / (n - r)!

In the combination the order is NOT important and is signed as follows:

C (n, r) = n! / r! (n - r)!

Now, to start with part a, which corresponds to a combination because the order here is not important. Thus

 n = 10

r = 2

C (10, 2) = 10! / 2! * (10-2)! = 10! / (2! * 8!) = 45

There are 45 possible scenarios.

Part b, would also be a combination, defined as follows

n = 10

r <= 3

Therefore, several cases must be made:

C (10, 0) = 10! / 0! * (10-0)! = 10! / (0! * 10!) = 1

C (10, 1) = 10! / 1! * (10-1)! = 10! / (1! * 9!) = 10

C (10, 2) = 10! / 2! * (10-2)! = 10! / (2! * 8!) = 45

C (10, 3) = 10! / 3! * (10-3)! = 10! / (2! * 7!) = 120

The sum of all these scenarios would give us the number of possible total scenarios:

1 + 10 + 45 + 120 = 176 possible total scenarios.

part c, also corresponds to a combination, and to be equal it must be divided by two since the coin is thrown 10 times, it would be 10/2 = 5, that is our r = 5

Knowing this, the combination formula is applied:

C (10, 5) = 10! / 5! * (10-5)! = 10! / (2! * 5!) = 252

252 possible scenarios to be the same amount of heads and tails.

6 0
3 years ago
Algebraic terms are separated by?​
allsm [11]

Answer:

Operations

Step-by-step explanation:

7 0
3 years ago
Please tell me the answer I have been struggling. PS this is middle school math
sammy [17]

Answer:8

Step-by-step explanation

7 0
2 years ago
Read 2 more answers
The number of foam fingers sold at the Kennedy Center from 1900 to 2004 can be modeled by S =
Juliette [100K]

Answer:

C) 11703

Step-by-step explanation:

from 1900 to 1976 is 76 years.

substitute 76 for t:

S = 2(76)^2 + 2(76) - 1

S = 2(5776) + 152 - 1

S = 11552 + 151

S = 11703

7 0
3 years ago
Solve n3 + 2n2 - 15n = 0 by factoring.
azamat
N³ - 2n² - 15n = 0

"n" 

n (n² + 2n - 15) = 0

n = 0

n² + 2n - 15 = 0

Δ = (2)² - 4(1)(-15)
Δ = 4 + 60 = 64

n' = (-2+8) / 2 = 6/2 =3
n'' = (-2-8) / 2 = -10/2 = -5

Solution:

S {-5 , 0 , 3 }
5 0
3 years ago
Read 2 more answers
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