Answer:
0.12
Step-by-step explanation:
Independent events are when probability of one event happening doesn't affect the probability of the other event happening.
Also,
In probability "AND" means "multiplication" and "OR" means "addition".
The question asks for probability that Nick oversleeps "AND" has pop quiz. So we need to multiply the individual probabilities (since independent, they have no affect on each other).
P(Nick oversleeps) = 0.48
P(pop quiz) = 0.25
Thus,
P(Nick oversleeps AND pop quiz) = 0.48 * 0.25 = 0.12
Answer:
BC = 20
Step-by-step explanation:
AC = AB + BC
28 = x-10 + x+2
Combine like terms
28 = 2x -8
Add 8 to each side
28+8 = 2x-8+8
36 = 2x
Divide by 2
36/2 = 2x/2
18 =x
We want to find BC
BC = x+2
=18+2
=20
Answer:
Step-by-step explanation:
Hypotenuse² =base² + altitude²
(3x + 4)² = (2x + 1)² + (3x)²
{Use (a+b)² = a² + 2ab + b²}
(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²
9x² + 24x + 16 = 4x² + 4x + 1 + 9x²
9x² + 24x + 16 = 13x² + 4x + 1
0 = 13x² + 4x + 1 - 9x² - 24x - 16
13x² - 9x² + 4x - 24x +1 - 16 = 0
4x² - 20x - 15 = 0
a = 4 ; b =-20 ; c = -15
D = b² - 4ac = (-20)² - 4*4*(-15) = 400 + 240 = 640
√D = √640 = 25.30
x = 5 .66 ; x = -0.66
Ignore x = -0.66 as length of a side cannot be negative
Answer : x = 5.66
