Nathan has an infection and he needs to be treated with penicillin
But there’s a 75% probability of him being allergic to penicillin
And to test if the skin reacts to penicillin, the test is 98% accuracy
So even if he has the allergy the test is only 98% accurate of identifying the allergy
Therefore we are asked to find the probability of both these events happening
Event 1 and event 2 both should happen then. When the ‘and’ function is used in probabilities then the probabilities of both events happening should be multiplied
Therefore probability that Nathan has the allergy and test predicts it is
= 75% x 98% = 0.735
The answer is D. 0.735
Answer:
Option B.
Step-by-step explanation:
We need to find the circle that has a central angle that measures 40°.
In all options, the center of circle is U. It means central angle must be on center, i.e., U.
In option A,the angle VXZ is at point X which is not the center. So, angle VXZ is not a central angle.
In option B,the angle VUZ is at point U which is the center. So, angle VUZ is a central angle with measure 40°.
In option C,the angle XZV is at point Z which is not the center. So, angle XZV is not a central angle.
In option D,the angle VXZ is at point X which is not the center. So, angle VXZ is not a central angle.
Therefore, the correct option is B.
Answer:
3(k - 1)² = 12
Step-by-step explanation:
To complete the square, write the equation standard form and make the a term's coefficient 1.
3k² = 11 + 6k
3k² - 6k - 11 = 0
3(k² - 2k) = 11
Take the middle term -2k and divide the coefficient in 2 and square it. Here it is -2/2 = -1. -1² = 1. Add 1 to both sides.
3(k² - 2k + 1) = 11 + 1
3(k - 1)² = 12
You're correct answer would be $13.84
She paid $35 and part b is it would've been $32
