Answer:
0.4490
Step-by-step explanation:
P(tested positive )=P(uses steroid and tested positive )+P(not uses steroid and tested positive )
=0.009*0.9+0.994*0.01=0.01804
Therefore:
Therefore P(uses steroid|tested positive )=P(tested positive & uses steroid)/P(tested positive )=0.009×0.9/0.01804=0.4490
Puppy Liz has to run approx 70ft to get to fire hydrant from the bench post.
Step-by-step explanation:
Let bench post be point A, fire hydrant be B and electrical post bottom be C and top be O.
We are given CO = 40ft
and angle BOC = 34°
angle AOC = 34 +23 = 57°
Let AB be y and AC be x
Clearly two right triangles are formed.
We can say,
In triangle BOC,
cos34° = Perpendicular ÷ Base = x÷40 => x = 40cos34°
and In triangle AOC
cos57° = Perpendicular ÷ Base = (x+y)÷40
substituting value of x from first equation to second we get,
40cos57° = 40cos34° + y
y = 40(cos57° - cos34°)
y = 40x1.75
y = 70ft which is the required answer.
Answer:
b/-4+8=5
Multiply each side by 4
-b+32=20
Move the constant to the right
-b=20-32
-b=-12
Change the signs
b=12
Simple Pythagorean theorem, And if you double check Tamara's work she is correct. Therefor B is the correct answer.
