Answer:
0.070
Step-by-step explanation:
Y = number on trial
Y has a negative binomial distribution
r = 3
P = 30% = 0.3 probability of positive indication.
P(Y = 11) probability of 11 employees that must be tested to get 3 positives
Y-1Cr-1*p^r*q^(y-r)
Y-1 = 11-1 = 10
r-1 = 3 -1 = 2
10C2 x 0.3³x0.7⁸
45x0.027x0.05764801
= 0.070
This is the probability that 11 employees must be tested to get 3 positives.
Answer:10
Step-by-step explanation:
2+3+2+3
is
10
The equation of a
circle is:
(x - h)² + (y - k)² = r²
The equation of a
parabola is:
(x - h)² = 4p(y - k)
The equation of an
ellipse is:

where variables a and b and the two different measurements of the vertices
The equation of a
hyperbola is:

if it is with a horizontal transverse axis

if it is with a vertical transverse axis
Notice these have a subtraction operation, the exact opposite ellipse.
Recall that in a geometric sequence, you multiply the "current" one by the common ratio to get the "next" so, if you divide "next"/"current", the quotient is just the common ratio,

notice, all we did was, divide the value, by the number to its left-hand-side.
Answer:
5
Step-by-step explanation:
area of rectangle = l(ength)×w(idth)
perimeter = 2×l + 2×w
diagonal = sqrt(l² + w²) (Pythagoras)
l×w = 12. => l = 12/w
2×l + 2×w = 14
2×12/w + 2×w =14
12/w + w = 7
12 + w² = 7w
w² - 7w + 12 = 0
=> (after a little thinking and trying : what 2 numbers multiply to 12 and add to -7 ? -3 and -4
=> (w-3)×(w-4) = 0
so, we get 2 solutions for w : 3 and 4
that gives us 2 solutions for l : 4 and 3
so, one is 3 and the other 4. it does not matter which is which. length 4 and width 3 produce the same diagonal as length 3 and width 4.
diagonal = sqrt(l² + w²) = sqrt(16 +9) = sqrt(25) = 5