Without any calculations it's evident it can't be neither B (both numbers are even, so they're divisible by 2) nor C (the numbers end in 0 and 5, so they're divisible by 5).
A.
Both numbers have a factor of 3, so they're not relatively prime.
That means it must be D. But, let's check it.
Indeed, those two numbers are relatively prime.
The answer to this question is D) 13.9 in.
Try using the Pythagorean theorem when solving to get the hypotenuse or other angles for a right triangle.
450,500 because 120,000 and 330,000 and 500 thats the answer
Answer: 0.9862
Step-by-step explanation:
Given : The probability that the chips belongs to Japan: P(J)= 0.36
The probability that the chips belongs to United States : P(U)= 1-0.36=0.64
The proportion of Japanese chips are defective : P(D|J)=0.017
The proportion of American chips are defective : P(D|U)=0.012
Using law of total probability , we have
Thus , the probability that chip is defective = 0.0138
Then , the probability that a chip is defect-free=
Answer:
Choice A. 3.
Step-by-step explanation:
The triangle in question is a right triangle.
- The length of the hypotenuse (the side opposite to the right angle) is given.
- The measure of one of the acute angle is also given.
As a result, the length of both legs can be found directly using the sine function and the cosine function.
Let 
denotes the length of the side opposite to the 
acute angle, and 
be the length of the side next to this acute angle.
.
Similarly,
.
The longer leg in this case is the one adjacent to the acute angle. The answer will be 
.
There's a shortcut to the answer. Notice that 
. The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the angle will be the longer leg. There will be no need to find the length of the opposite leg.
Does this relationship 
holds for all acute angles? (That is, 
?) It turns out that:
