Answer:
360,000÷100/ 360,000÷900 = 9
Answer:
∠x = 90°
∠y = 58°
∠z = 32°
Step-by-step explanation:
The dimensions of the angles given are;
∠B = 32°
Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;
∠A = 90°
∴ ∠B + ∠C = 90° which gives
32° + ∠C = 90°
∠C = 58°
∠x + Interior angle of the square = 180° (Sum of angles on a straight line)
∴ ∠x + 90° = 180°
Hence;
∠x = 90°
∠x + ∠y + 32° = 180° (Sum of angles in a triangle)
∴ 90° + ∠y + 32° = 180°
∠y = 180 - 90° - 32° = 58°
∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)
58° + ∠z +90° = 180°
∴ ∠z = 32°
∠x = 90°
∠y = 58°
∠z = 32°
Answer:
B) 8:9
Step-by-step explanation:
Please refer to the attached image for explanations
To add and subtract fractions you must do the multiplication of the numerator of the first with the denominator of the second. Then, add or subtract the multiplication of the numerator from the second with the denominator of the first. Finally divide the result between the multiplication of the denominator of the first with the denominator of the second fraction.Annex the result.
Answer:
2.542
Step-by-step explanation:
Given the data :
Customer Pre-training Survey, x1 __Post-training Survey, x2 __ difference, d = (x2-x1)
A 6 8 2
B 5 5 0
C 10 10 0
D 7 10 3
E 6 8 2
F 5 6 1
G 2 8 6
This is a paired test as each subject has two different data values :
Difference in score, d :
dbar = Σd / n
dbar = (2+0+0+3+2+1+6) /
dbar = 14 / 7
dbar = 2
Standard deviation of d ; Sd = √[Σ(d - dbar)²/n-1]
Using calculator ; Sd = 2.082
Test statistic = dbar ÷ (Sd/√n)
Test statistic = 2 ÷ (2.082 / 7)
Test statistic = 2 ÷ 0.7869220
The statistic = 2.5415
