Answer:5
Step-by-step explanation:
Answer: P = 0.125 = 1/8
Step-by-step explanation:
We know that he has a blue coat and a black coat.
If he dresses at random, then the probability of getting the blue coat is equal to the quotient between the number of blue coats (1) and the total number of coats (2).
Then the probability is:
p = 1/2
We also know that he has blue pants and brown pants, the probability of getting at random the blue pants is calculated in the same way than above, then:
q = 1/2
And for the shirt he has a blue shirt and a red one, the probability of randomly selecting the blue one is calculated in the same way than above, then:
k = 1/2
Now, the joint probability (he selects all blue clothes) is equal to the product of the individual probabilities:
P = p*q*k = (1/2)*(1/2)*(1/2) = 1/8 = 0.125
Answer:
x-2y/x
Step-by-step explanation:
x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y² = x-2y/x
Answer:
- <em><u>5.6875 in</u></em>
Explanation:
At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).
Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)
I tried to upload the drawing but the tool is not allowing it now.
In the figure:
- The length of the tangent (6 in) is one leg of the triangle
- The distance from vertex and the circle (2.75in) along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
- The other leg is the radius, r.
Then, you can use Pythagorean theorem:
Solve:
- r² + 36 = r² + 5.5r + 7.5625
The solution is in inches: r = 5.6875 inches ← answer
