Answer:
24°
Step-by-step explanation:
(4y-4)+(180-52)+3y = 180°
4y-4+128+3y = 180
7y+124 = 180
7y = 56
y = 8
SO ∠x = 3y
∠x = 3(8)
∠x = 24
Answer:
4(n+7)=
Step-by-step explanation:
4 times the sum of the equation n plus seven
Answer:
0.083
Step-by-step explanation:
To solve the above question, we use the combination method.
C(n, r) = nCr = n!/r!(n - r)!
Probability of answering (all 5 correctly)
= Probability of answering ( 5 out of 7 correctly)/ Probability of answering (5 out of 10 problems)
Probability of answering ( 5 out of 7 correctly) = 7C5
nCr = n!/r!(n - r)!
= 7!/5! (7 - 5)!
= 7 × 6 × 5 × 4 × 3 × 2 × 1/( 5 × 4 × 3 × 2 × 1) × (2 × 1)
= 21 ways
Probability of answering (5 out of 10 problems) = 10C5
nCr = n!/r!(n - r)!
= 10!/5! (10 - 5)!
= 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1/( 5 × 4 × 3 × 2 × 1) × (5 × 4 × 3 × 2 × 1)
= 252 ways
Probability of answering (all 5 correctly)
= 21/252
= 0.0833333333
Approximately = 0.083
Answer:
There will be a minimum of 8,100 books with coloured illustrations.
Step-by-step explanation:
Change the percentages to fractions
90% = 9/10
Books with Illustrations: 9/10 of 10,000
Books in Colour: 9/10 of 10,000
Because both events are not mutually exclusive, they can happen at the same time. So multiply their fractions (probabilities).
9/10 * 9/10 =
9 * 9 = 81
10 * 10 = 100
The probability of having a book with coloured illustrations is 81/100.
Find this as a fraction of 10000.
10000 ÷ 100 × 81 = 8,100
Answer:
(x-2)²+(y-4)²=4
Step-by-step explanation: