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lisov135 [29]
3 years ago
10

Matty’s piano book includes 15 songs in the key of C, 10 in the key of G, and 5 in the key of F. The songs from all three keys a

ppear in random order. Over the past month, Matty has randomly opened his piano book to a song in the key of C 80 times, the key of G 30 times, and the key of F 10 times. What are the theoretical and experimental probabilities that the next song Matty randomly picks will be in the key of G?
Mathematics
1 answer:
Marta_Voda [28]3 years ago
6 0

Matty's piano is going to a random key of c next.

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The hypotenuse of a right triangle is 65 cm, if one of its sides is 25 cm, find the length of the other side and it's perimeter
KatRina [158]

Answer:

Other side = 60

Perimeter = 150

Step-by-step explanation:

Using Hypothenuse formula

25²+B²=65²

625+B²=4225

B²=4225-425

B²=3600 (Bring Square to the other side to become Square root)

B=√(3600)

B=60

Perimeter:(Sum of all side)

60+65+25

150

5 0
3 years ago
Find the mean. 217, 230, 214, 227, 196, 235, 220, 224, 208, 209, 191, 205, 184, 214, 219, 208, 227, 194, 228, 186, 201, 239
xeze [42]

Answer:

212.54

Step-by-step explanation:

To find the mean, we take the sum of all numbers and divide by the total amount in the set

Total sum: 4676

Numbers in the set: 22

4676 divided by 22 = approx. 212.54

6 0
3 years ago
complete the statement 3/8 time what = 1also 7 times what = 1 and what is 3 divided by what =36 and 4/9 divided by what =12
lara [203]
The answer is 8/3 or 2 2/3 for the first one.
3 0
3 years ago
Determine 2nd term and rth term of a.p.whose 6 th term is 12 and 8 th term is 22​
Vanyuwa [196]

Answer:

see explanation

Step-by-step explanation:

The n th term of an arithmetic progression is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a_{6} = 12 and a_{8} = 22, then

a₁ + 5d = 12 → (1)

a₁ + 7d = 22 → (2)

Subtract (1) from (2) term by term to eliminate a₁

2d = 10 ( divide both sides by 2 )

d = 5

Substitute d = 5 into (1) to find a₁

a₁ + 5(5) = 12

a₁ + 25 = 12 ( subtract 25 from both sides )

a₁ = - 13

Thus

a_{2} = - 13 + 5 = - 8

a_{n} = - 13 + 5(n - 1) = - 13 + 5n - 5 = 5n - 18 ← n th term

8 0
3 years ago
You buy a game for $40, and the sales tax is $2. What percent of the game price are you paying in sales tax?
Andreas93 [3]
To get the answer we can use proportion
40$ ------------- 100%
2$ ---------------- x
crossmultiply now
40x=2*100           /:40
x=200:40
x=5% - its the answer
6 0
3 years ago
Read 2 more answers
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