Answer:
The probability is 8 over 15.
Step-by-step explanation:
14 of the musicians play both guitar and drums, 28 play drums, 18 play the guitar.
It means n(G and D)=14, n(D)=28, n(G)=18.
Using the formula of Union:-
n(G or D) = n(G) + n(D) - n(G and D).
n(G or D) = 18 + 28 - 14.
n(G or D) = 32.
It says 60 musicians applied for a job at a music school. So n(U)=60.
The probability that the applicant who gets the job plays drums or guitar is = n(G or D)/n(U) = 32/60 = 8/15.
Hence, the probability is 8 over 15.
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Answer:
Step-by-step explanation:
Given the simultaneous equation 2p - 3q = 4 and 3p + 2q = 9, to get the value of p and q we will use elimination method.
2p - 3q = 4 ...................... 1 * 3
3p + 2q = 9 ..................... 2 * 2
Multiplying equation 1 by 3 and 3 by 2:
6p - 9q = 12
6p + 4q = 18
Subtracting both equation
-9q-4q = 12-18
-13q = -6
q = -6/-13
q = 6/13
Substituting q = 6/13 into equation 2
2p - 3(6/13) = 4
2p - 18/13 = 4
2p = 4+18/13
2p = (52+18)/13
2p = 70/13
p = 70/26
p = 35/13
<em>Hence p = 35/13 and q = 6/13</em>
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<em>b) </em>If if 223ₓ = 87 find x
Using the number base system and converting 223ₓ to base 2 will give us;
223ₓ = 2*x² + 2*x¹ + 3*x⁰
223ₓ = 2x²+2x+3
Substituting back into the equation, 2x²+2x+3 = 87
2x²+2x+3-87 = 0
2x²+2x-84 = 0
x²+x-42 = 0
On factorizing:
(x²+6x)-(7x-42) = 0
x(x+6)-7(x+6) = 0
(x+6)(x-7) = 0
x+6 = 0 and x-7 = 0
x = -6 and 7
<em>Hence the value of x is 7 (neglecting the negative value)</em>
Hello!
The hour is 3, and the minute is 26.
It is 3:26
Hope this helps!
table A because they are the fame proportion
The two numbers would be 36 and 12
36 + 12 = 48
36 - 12 = 48
