Answer:
infinitely many
Step-by-step explanation:
Add 12-y to both sides of the second equation to put it into standard form like the first equation:
y +(12 -y) = (x -12) +(12 -y)
12 = x - y . . . simplify
x - y = 12 . . . . second equation in standard form
We see this is identical to the first equation. That means every solution of the first equation is also a solution of the second equation. There are infinitely many solutions.
Answer:
a = 31.7
c = 39.1
Step-by-step explanation:
tan54 = a / 23
a = 23 * tg54
a = 31.7
sin54 = 31.7 / c
c = 31.7 / sin54
c = 39.1
:)
Answer:
0.64
Step-by-step explanation:
P(J / R) = P (J and R) / P(R)
0.8 = P (J and R) / 0.6
P (J and R) = 0.6 * 0.8 = 0.48 [Probability John practicing and it is raining]
P(J / NR) = P (J and NR) / P(NR)
0.4 = P (J and NR) / (1 - 0.6) = P (J and NR) / 0.4
P (J and NR) = 0.4 * 0.4 = 0.16 [Probability John practicing and it is not raining]
Hence;
Probability of John practicing regardless of weather condition is
P(John Practicing) = 0.48 + 0.16 = 0.64
HOPE THIS HELPED!!!
Answer:
Statement 3
Step-by-step explanation:
<u>Statement 1:</u> For any positive integer n, the square root of n is irrational.
Suppose n = 25 (25 is positive integer), then

Since 5 is rational number, this statement is false.
<u>Statement 2:</u> If n is a positive integer, the square root of n is rational.
Suppose n = 8 (8 is positive integer), then

Since
is irrational number, this statement is false.
<u>Statement 3:</u> If n is a positive integer, the square root of n is rational if and only if n is a perfect square.
If n is a positive integer and square root of n is rational, then n is a perfect square.
If n is a positive integer and n is a perfect square, then square root of n is a rational number.
This statement is true.
I think it would be division :)