Math Answers

7 In a study on survival time for ten patients following a new treatment for AIDS. The time in months were given thus: 24, 12, 8, 20, 3, 18, 24, 25,and 27.Determine the mean for the given data.
20
17.9
24
6.8
8 .......... is the science which deals with data collection, compilation, presentation, analysis and interpretation of numerical data for decision making.
sample space
sample
experiment
statistics
9 An ............ is a repetitive activity carried out for an expected result
experiment
sample
sample space
statistics
10 A ............. is the total collection of all the possible outcomes of an experiment
sample space
sample
experiment
statistics
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4 In a study on survival time for ten patients following a new treatment for AIDS. The time in months were given thus: 24, 12, 8, 20, 3, 18, 24, 25,and 27.Determine the mode for the given data.
17.9
24
18
24
5 In a study on survival time for ten patients following a new treatment for AIDS. The time in months were given thus: 24, 12, 8, 20, 3, 18, 24, 25,and 27.Determine the range for the given data.
24
17
8
25
6 In a study on survival time for ten patients following a new treatment for AIDS. The time in months were given thus: 24, 12, 8, 20, 3, 18, 24, 25,and 27.Determine the median for the given data.
24
20
14.3
20.4

1 Descriptive measurement obtained from a whole population is termed as
statistics
sample
sample quote
parameter
2 Find the mean of 2t + 4, 5t - 4, 3t + 2, and 6t - 2
4
2t
4t
6t + 1
3 The mean of seven numbers is 10. If the sum of the first six terms is 62, find the number.
14
5
8
9

9 Integrate with respect to x :
∫3−1x7+x2−−−−−√dx
∫−13x7+x2dx

22√
22

42√
42

4−22√
4−22

2√
2
10 Integrate with respect to x :
∫41x+1x√dx
∫14x+1xdx

203
203
20

320
320
-20

7 Evaluate
∫2−1y2+y−2dy
∫−12y2+y−2dy

716
716

316
316

1716
1716

516
516
8 Integrate with respect to x :
∫2−1x2(x3+4)2dx
∫−12x2(x3+4)2dx
12

12
12
6

512
512

5 Evalute
∫x2(3−10x3)dx
∫x2(3−10x3)dx

1150(3−10x3)5)+c
1150(3−10x3)5)+c

110(1−10x2)5)+c
110(1−10x2)5)+c

115(3−20x3)5)+c
115(3−20x3)5)+c

1100(3−2x3)5)+c
1100(3−2x3)5)+c
6 Find the integral with respect to x
∫cosxsinxdx
∫cos⁡xsin⁡xdx

sin2x2+c
sin⁡2x2+c

sin2x+c
sin⁡2x+c

cos2x2+c
cos2⁡x2+c

sinx
sin⁡x

1 Integrate
∫(x3+3x2+2x+4)
∫(x3+3x2+2x+4)

x44+x3+x2+4x+c
x44+x3+x2+4x+c

x42−x3+x2+4x+c
x42−x3+x2+4x+c

3x44+2x3+x+c
3x44+2x3+x+c

6x4−3x2+c
6x4−3x2+c
2 Evaluate
∫(3x−2)6dx
∫(3x−2)6dx

(3x+2)72+c
(3x+2)72+c

(3x+2)721+c
(3x+2)721+c

(3x−2)721+c
(3x−2)721+c

3(3x−2)72+c
3(3x−2)72+c
3 Evaluate
∫cos(6x+4)dx
∫cos⁡(6x+4)dx

sin(6x+4)6+c
sin⁡(6x+4)6+c

cos(6x+4)6+c
cos⁡(6x+4)6+c

tan(6x+4)6+c
tan⁡(6x+4)6+c

sec(6x+4)6+c
sec⁡(6x+4)6+c
4 Evaluate
∫3ex+5cos(x)−10sec2(x)dx
∫3ex+5cos⁡(x)−10sec2⁡(x)dx

3e2+5sinx−10tanx+c
3e2+5sin⁡x−10tan⁡x+c

3ex+cosx−10tanx+c
3ex+cos⁡x−10tan⁡x+c

3ex+5sinx−10secx+c
3ex+5sin⁡x−10sec⁡x+c

2ex−x−10tanx+c

1 Integrate
∫(x3+3x2+2x+4)
∫(x3+3x2+2x+4)

x44+x3+x2+4x+c
x44+x3+x2+4x+c

x42−x3+x2+4x+c
x42−x3+x2+4x+c

3x44+2x3+x+c
3x44+2x3+x+c

6x4−3x2+c
6x4−3x2+c
2 Evaluate
∫(3x−2)6dx
∫(3x−2)6dx

(3x+2)72+c
(3x+2)72+c

(3x+2)721+c
(3x+2)721+c

(3x−2)721+c
(3x−2)721+c

3(3x−2)72+c
3(3x−2)72+c

9 Evaluate
∫x2e3xdx
∫x2e3xdx

e3x3(x2−2x3+29)+c
e3x3(x2−2x3+29)+c

−e3x3(x2+2x3−29)+c
−e3x3(x2+2x3−29)+c

e2x3(x3−x4+29)+c
e2x3(x3−x4+29)+c

ex3(x2+2x3−25)+c
ex3(x2+2x3−25)+c
10 Given f(x) =
(7x4−5x3)
(7x4−5x3)
, evaluate
df(x)dx
df(x)dx

7x4−5x3
7x4−5x3

2x3−15x2
2x3−15x2

28x2−15x2
28x2−15x2

28x3−15x2
28x3−15x2

7 Determine
∫x2+1(x+2)3
∫x2+1(x+2)3

ln(x+2)+4x+2−52(x+3)2+c
ln(x+2)+4x+2−52(x+3)2+c

ln(x+2)−4x+2−52(x+3)2+c
ln(x+2)−4x+2−52(x+3)2+c

−ln(x+2)−4x+2−52(x+3)2+c
−ln(x+2)−4x+2−52(x+3)2+c

ln(x−2)+4x−2−52(x+3)2+c
ln(x−2)+4x−2−52(x+3)2+c
8 Find the volume of a sphere generated by a semicircle
y=(√r2−x2)
y=(r2−x2)
revolving around the x-axis

−π−r32
−π−r32

4πr32
4πr32

πr34
πr34

4πr33
4πr33