Answer:
Correct option: D
Step-by-step explanation:
In the figure we have a right triangle, that is, one of the angles is a 90° angle. Therefore, we can use the Pythagoras' theorem to find the relation between the sides of the triangle:
Where b and c are cathetus of the triangle (sides adjacent to the 90° angle) and a is the hypotenuse (opposite side to the 90° angle).
So in our case, we have that x is the hypotenuse, and 40 and 42 are cathetus, so we have:
So the correct option is D.
Answer:
There is a 9.6% probability that a person is diagnosed as having cancer.
Step-by-step explanation:
In this problem, we have these following probabilities:
A 5% probability that an adult over 40 has cancer.
This also means that:
There is a 95% probability that an adult over 40 does not have cancer. (Since either the adult has cancer or does not have cancer, and the sum of the probabilities is 100%).
A 78% probability of a person that has cancer being diagnosed,
A 6% probability of a person that does not have cancer being diagnosed.
What is the probability that a person is diagnosed as having cancer?
is the probability of those who have cancer being diagnosed. So it is 78% of 5%. So
is the probability of those who do not have cancer being diagnosed. So it is 6% of 95%. So
So
There is a 9.6% probability that a person is diagnosed as having cancer.
The perimeter is just the sum of all its sides, in this case, 14+8+14+8 is the perimeter of that one.
now, it gets enlarged with a scale factor of 10, namely it gets blown up 10 times, so the length and the width get blown up that much, thus 10*8 and 10*14.
the new perimeter is then (10*8) + (10*14)+(10*8) + (10*14).