Question Completion:
SubID Memory1 Memory2
1 71 78
2 75 75
3 77 82
4 90 91
5 72 90
6 79 81
7 84 75
8 75 86
9 85 92
10 75 77
11 72 92
12 76 87
13 77 93
14 90 94
15 84 78
16 73 92
17 75 85
18 87 86
19 75 95
20 70 94
21 72 75
22 90 84
23 81 94
24 87 82
25 90 82
26 87 79
27 78 94
28 78 79
29 70 82
30 81 80
31 80 78
32 90 87
33 83 90
34 81 85
35 73 88
36 82 82
37 84 94
38 85 86
39 77 94
40 82 83
Answer:
Since the mean of Memory1 (reciting method) (79.8) is smaller than the mean of Memory2 (imagery method) (85.5), we can conclude that there is a significant difference in memory performance between the reciting method and the imagery method.
Step-by-step explanation:
a) Data and Calculations:
SubID Memory1 Memory2
1 71 78
2 75 75
3 77 82
4 90 91
5 72 90
6 79 81
7 84 75
8 75 86
9 85 92
10 75 77
11 72 92
12 76 87
13 77 93
14 90 94
15 84 78
16 73 92
17 75 85
18 87 86
19 75 95
20 70 94
21 72 75
22 90 84
23 81 94
24 87 82
25 90 82
26 87 79
27 78 94
28 78 79
29 70 82
30 81 80
31 80 78
32 90 87
33 83 90
34 81 85
35 73 88
36 82 82
37 84 94
38 85 86
39 77 94
40 82 83
Total 3,193 3,421
Mean 79.8 85.5
Difference in means = 5.7 (85.5 - 79.8)
Answer:
Step-by-step explanation:
Numerator
sin
x
cos
y
+
cos
x
sin
y
−
[
sin
x
cos
y
−
cos
x
sin
y
)
=
sin
x
cos
y
+
cos
x
sin
y
−
sin
x
cos
y
+
cos
x
sin
y
=
2
cos
x
sin
y
Denominator
cos
x
cos
y
−
sin
x
sin
y
+
cos
x
cos
y
+
sin
x
sin
y
=
cos
x
cos
y
−
sin
x
sin
y
+
cos
x
cos
y
+
sin
x
sin
y
=
2
cos
x
cos
y
---------------------------------------------------------------
left side can now be expressed as
2
cos
x
sin
y
2
cos
x
cos
y
=
2
cos
x
sin
y
2
cos
x
cos
y
=
sin
y
cos
y
and
sin
y
cos
y
=
tan
y
=
right side hence proved
Answer:
Therefore this triangle is not possible. This is the reason the architect was not hired.
Step-by-step explanation:
i) In a triangle we know that the sum of any two sides should be greater than or equal to the remaining side.
ii) The sides of the triangle are 21 feet, 37 feet, 15 feet.
iii) If we add the two smaller sides we get 21 feet + 15 feet = 36 feet which is less than the remaining side which is 37 feet.
Therefore this triangle is not possible. This is the reason the architect was not hired.
Answer:
x = 75
Step-by-step explanation:
Sum of the 3 angles in a triangle is 180.
65 + 40 + x = 180
105 + x = 180
x = 75