To simplify the expression stated, it is better to write it in the numerical form. The statement is:
<span>quantity 12 x plus 36 over quantity x squared minus 4 x minus 21
The numerical form is:
12x+36 / (x</span>²-4x-21)
Simplifying,
12x+36 / (x<span>²-4x-21)
</span>12 (x+3) / (x+3)(x-7)
We can cancel the x+3 term, leaving only:
12/(x-<span>7)</span>
Answer:
B. 71.43%
Step-by-step explanation:
The sensitivity is the probability that a test will indicate 'disease' among those with the disease, that is, the test has a positive results:
In this problem, we have that:
150 people with the disease tested positive and 60 tested negative. So the sensitivity is:
The correct answer is:
B. 71.43%
Answer:
P(C4) = 0.0711
Step-by-step explanation:
consider the first draw = 15/23 since it cannot be a blue ball
The second draw = 21/29 since 6 more red balls will be added after the draw since a blue ball cannot be drawn
the third draw = 27/35 since 6 more red balls will be added after each draw since a blue ball cannot be drawn
therefore the total number of red balls will be = 15 + 6 + 6 + 6 = 33 red balls after the 4th draw. the total ball now in the urn= 33 red + 4 blue = 41
Hence the probability of drawing a blue ball at the fourth draw after drawing red balls at the previous attempts = 8/41
P(C4) = P ( fourth ball is blue ) * P( first ball red)*P(second ball red) *P(third ball red )
= (8/41) * (15/23) * (21/29)* (27/35) = 0.0711
-2(x-6)+7=35
-2x+6+7=35 (Distributive property)
-2x+13=35 (Simplify, combine like terms)
-2x+13-13=35-13
-2x=22
-2x/-2=22/-2
X=-11
Answer: 55.34
Step-by-step explanation:
24.95 + 21.95 = 46.90
46.90 x 18%
18% = .18
46.90 x 18 = 8.442
8.44 = cost of tip
8.44 + 46.90 = 55.34
