Answer:
∆GFI AND ∆JIK
∆GFI AND ∆JIK are corresponding angles
The <span>given the piecewise function is :
</span>
![f(x) = \[ \begin{cases} 2x & x \ \textless \ 1 \\ 5 & x=1 \\ x^2 & x\ \textgreater \ 1 \end{cases} \]](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5C%5B%20%5Cbegin%7Bcases%7D%20%0A%20%20%20%20%20%202x%20%26%20x%20%5C%20%5Ctextless%20%5C%20%201%20%5C%5C%0A%20%20%20%20%20%205%20%26%20x%3D1%20%5C%5C%0A%20%20%20%20%20%20x%5E2%20%26%20x%5C%20%5Ctextgreater%20%5C%201%20%0A%20%20%20%5Cend%7Bcases%7D%0A%5C%5D)
To find f(5) ⇒ substitute with x = 5 in the function → x²
∴ f(5) = 5² = 25
To find f(2) ⇒ substitute with x = 5 in the function → x²
∴ f(2) = 2² = 4
To find f(-2) ⇒ substitute with x = 5 in the function → 2x
∴ f(-2) = 2 * (-2) = -4
To find f(1) ⇒ substitute with x = 1 in the function → 5
∴ f(1) = 5
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So, the statements which are true:<span>
![\framebox {B. f(2) = 4} \ \framebox {D. f(1) = 5}](https://tex.z-dn.net/?f=%5Cframebox%20%7BB.%20f%282%29%20%3D%204%7D%20%5C%20%5Cframebox%20%7BD.%20f%281%29%20%3D%205%7D)
</span><span>
</span>
let's recall that the sum of all interior angles in a triangle is 180°.
an equi-lateral, equal sides, triangle has all sides that are equal.
sides that are equal will yield an equal opposite angle.
so if all sides are equal, all angles are equal, for a sum of 180°, that's only possible with 60°, 60° and 60° angles, and all of them are acute, none obtuse.
Answer:
( a ) Probability that the test comes back negative for all four people = .9723
( b ) Probability that t he test comes back positive for at least one of the four people = .0277
Step-by-step explanation:
Given
The probability of the test will accurately come back negative if the antibody is not present = 99.1
= .991
The probability of the test will accurately come back positive if the antibody is not present = .009
Suppose the test is given to four randomly selected people who do not have the antibody .
( a ) Probability that the test comes back negative for all four people =
=
= .9723
If we say E = P( all 4 test are negative) or we say E = P( not of the all 4 test are positive)
P( at least one of the 4 test are positive) = 1 - P( not of the all 4 test are positive) = 1 - P( all 4 test are negative)
( b ) Probability that t he test comes back positive for at least one of the four people = 1 - P( all 4 test are negative)
= 1 - .9723
= .0277