Give the probability distribution and sketch the histogram.Five rats are inoculated against a disease. After an incubation period, the number contracting the disease is noted. The experiment is repeated 20 times, with the results shown in the table.
A. 
| Probability: | .15 | .05 | .15 | .30 | .25 | .10 |
B.
| Probability: | .10 | .20 | .35 | .15 | .05 | .15 |
C.
| Probability: | .10 | .25 | .30 | .15 | .05 | .15 |
D.
| Probability: | .15 | .05 | .15 | .35 | .20 | .10 |
Answer: B
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Identify a technique of integration for evaluating the integral. If necessary, explain how to first simplify the integrand before applying the suggested technique of integration. You do not need to evaluate the integral.
A. Integrate by parts with u = 3x, dv = cos 2x dx B. Substitute, letting u = cos 2x C. Integrate by parts with u = cos 2x, dv = 3x dx D. Substitute, letting u = 2x
Find the LCD of the given rational expressions.
; 
A. r(r + 1)(r + 6) B. (r + 6)2 C. r(r + 6)2 D. r(r + 6)
Provide an appropriate response.
Find b rounded to four significant digits if a = 5 cm and A = 19.1°. 
A. 15.28 cm B. 14.44 cm C. 5.291 cm D. 1.731 cm
Determine whether the given function is one-to-one. If it is one-to-one, find its inverse.f(x) = 3x - 12
A. f-1(x) = 
x - 4
B. f-1(x) = 
x + 3
C. f-1(x) = 3x + 12
D. f-1(x) = 
x + 4