<span>3/28 exactly, or approximately 10.7%
Since we're drawing without replacement, let's first calculate the probability that the 1st marble is white. There are 3 white marbles out of a total of 8 marbles. So the probability of the 1st marble being white is 3/8.
Now assuming that the first marble picked is white, the probability of the second marble is 2 out of the 7 remaining marbles. So it's probability is 2/7.
This means that the probability of both marbles being white is 3/8 * 2/7 = 6/56 = 3/28, or approximately 10.7%</span>
Because <span>−8</span><span> does not contain the </span>variable<span> to solve for move it to the other side of the </span>equation<span> by adding </span>8<span> to both sides.
</span><span>5x=8+37
</span>Add 8<span> and </span>37<span> to get </span><span>45.
</span><span>5x=45
</span>Divide<span> each </span>term<span> by 5.
</span>x=<span>9
</span>
x is equal to 9
We will see that the solution in the given interval is: x = 0.349 radians.
<h3>How to solve equations with the variable in the argument of a cosine?</h3>
We want to solve:
cos(3*x) = 1/2
Here we must use the inverse cosine function, Acos(x). Remember that:
cos(Acos(x)) = Acos(cos(x)) = x.
If we apply that in both sides, we get:
Acos( cos(3x) ) = Acos(1/2)
3*x = Acos(1/2)
x = Acos(1/2)/3 = 0.349
So x is equal to 0.349 radians, which belongs to the given interval.
If you want to learn more about trigonometry, you can read:
brainly.com/question/8120556
