Answer:
8/125
Step-by-step explanation:
Given
red balls : 6
yellow balls : 7
green balls : 2
total balls = 6 + 7 + 2 = 15
P(red ball) = 6 / 15 = 2/5
P(3 consecutive red balls with replacement),
= (2/5) x (2/5) x (2/5)
= 8/125
<span>cos(-120°), sin(-30°), -sin(150°)
This problem requires you to understand the symmetric identities for the sin and cos functions. sin(-150°) is in the 3rd quadrant and is 30° away from the X axis. Now let's look at all the possibilities:
cos(-120°) - Also in the 3rd quadrant and 30° away from the Y axis. MATCH.
sin(150°) - It's in the 2nd quadrant. Will have opposite sign. Not a match.
sin(-30°) - It's in the 4th quadrant. The signs will match. It's also 30° away from the X axis. MATCH.
-sin(150°) - The identity sin(-a) = -sin(a) applies here. MATCH.
cos(60°) - In 1st quadrant. Result will be positive. Not a match.
cos(-60°) - In 4th quadrant. Result will be positive. Not a match.</span>
Answer:
Step-by-step explanation:
Density = mass/volume
Mass = 280g, volume = 40cm^3
Density = 280/40
Density = 7g/cubic cm
Answer:
Step-by-step explanation:
$5=movie tickets
$3=snacks
they need a total of: $300
standard form is: Ax+By=C
the equation in standard form would be: 5x+3y=300
