Step-by-step explanation:
Total marbles = 24 + 8 + 16 + 4 = 52
Probability of blue marble = 8/ 52 = 4 / 26 = 2 / 13
Option 2 is the correct answer
Answer:
<A ≈ 45 degrees
<B ≈ 57 degrees
<C ≈ 78 degrees
Step-by-step explanation:
Hi there!
<u>1) Find <C with the law of cosines</u>
Typically, we want to solve for the angle opposite the largest side first.
Law of cosines:
Plug in given values
Therefore, <C is approximately 78 degrees.
<u>2) Find <B with the law of cosines</u>
Plug in given values
Therefore, <B is approximately 57 degrees.
<u>3) Find <A</u>
The sum of the interior angles of a triangle is 180 degrees. To solve for <A, subtract <B and <C from 180:
180-57-78
= 45
Therefore, <A is 45 degrees.
I hope this helps!
Let
be a probability that i-th light fails, where i=1,2,3. Then,
is the probability that i-th light remain bright.
<span>If the lights fail independently of each other, the probability that a string of lights will remain bright for two years is:
</span>
.
<span>perpendicular slope :
m1 * m2 = -1
1/2 * m2 = -1
m2 = -2
y = -2x + b
2 = -4 +b
b = 6
y = -2x + 6
</span>