2 times x is the same as 2*x or 2x. x represents the value of an unknown number.
Answer:
![\text{A) }68\:\mathrm{cm}](https://tex.z-dn.net/?f=%5Ctext%7BA%29%20%7D68%5C%3A%5Cmathrm%7Bcm%7D)
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.
Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.
To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a
, creating right triangles
and
.
The Pythagorean Theorem states that the following is true for any right triangle:
, where
is the hypotenuse, or the longest side, of the triangle
Thus, we have:
![10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24](https://tex.z-dn.net/?f=10%5E2%2BTP%5E2%3D26%5E2%2C%5C%5CTP%5E2%3D26%5E2-10%5E2%2C%5C%5CTP%5E2%3D%5Csqrt%7B576%7D%2C%5C%5CTP%3D24)
Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.
What we know:
Thus, the perimeter of the quadrilateral PTOS is equal to ![24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}](https://tex.z-dn.net/?f=24%2B24%2B10%2B10%3D%5Cboxed%7B%5Ctext%7BA%29%20%7D68%5C%3A%5Cmathrm%7Bcm%7D%7D)
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?
![P = P_{1} + P_{2}](https://tex.z-dn.net/?f=P%20%3D%20P_%7B1%7D%20%2B%20P_%7B2%7D)
is the probability of those who have cancer being diagnosed. So it is 78% of 5%. So
![P_{1} = 0.05*0.78 = 0.039](https://tex.z-dn.net/?f=P_%7B1%7D%20%3D%200.05%2A0.78%20%3D%200.039)
is the probability of those who do not have cancer being diagnosed. So it is 6% of 95%. So
![P_{1} = 0.06*0.95 = 0.057](https://tex.z-dn.net/?f=P_%7B1%7D%20%3D%200.06%2A0.95%20%3D%200.057)
So
![P = P_{1} + P_{2} = 0.039 + 0.057 = 0.096](https://tex.z-dn.net/?f=P%20%3D%20P_%7B1%7D%20%2B%20P_%7B2%7D%20%3D%200.039%20%2B%200.057%20%3D%200.096)
There is a 9.6% probability that a person is diagnosed as having cancer.
I think A becaus eits more thand the amount that they give you
Answer:
so easy...
Step-by-step explanation:
You can do it...