Answer:
Step-by-step explanation:
Given that
sample size n = 55: x bar = 654.16 and s = sample sd = 162.34
Std error = 162.34/sqrt 55 = 21.889
For 95% CI we can use t critical value as population std dev is not known.
df = 54
t critical = 2.004
Margin of error = 2.004 *21.889 = 43.866
Confidence interval lower bound = 654.16-43.866 =610.294
Upper bound = 654.16+43.866=698.026
Confidence interval rounded off at 95% = (610.29, 698.23)
Step-by-step explanation:
We have,
Mass of ball is 9 kg
Initial speed, u = 5 m/s
Final speed, v = -2 m/s (negative as it bounces off)
(a) The change in velocity of the bowling ball is :

(b) Change of momentum of the ball is :

|p| = 630 kg-m/s
(c) Impulse momentum theorem states that the change in momentum of the ball is equal to the impulse exerted on the ball. So, impulse is 630 kg-m/s.
(d) Impulse is also given by :

Answer:
(0, 3 ), (5, 0), (10, -3), (15, -6)
Step-by-step explanation:
3x − 5y = 15
-5y = 3x + 15
y = 
Point 1: (0, 3 )
y = -3/5(0) + 3
y = 0 + 3
y = 3
Validate:
3 = -3/5(0) + 3
3 = 3
Point 2: (5, 0)
y = -3/5(5) + 3
y = -3 + 3
y = 0
Validate:
0 = -3/5(5) + 3
0 = 0
Point 3: (10, -3)
y = -3/5(10) + 3
y = -6 + 3
y = -3
Validate:
-3 = -3/5(10) + 3
-3 = -3
Point 4: (15, -6)
y = -3/5(15) + 3
y = -9 + 3
y = -6
Validate:
-6 = -3/5(15) + 3
-6 = -6
Answer:

Step-by-step explanation:

Answer:
applying trigonometry
base= 30inches
height= 50inches
angle between ladder and ground = 59.04°
for the length of the ladder...
sin59.04 = opposite side ÷ hypotenuse
sin59. 04 = 50inches ÷ hypotenuse
0.8575 = 50 inches ÷ hypotenuse
cross multiply;
hypotenuse = 50inches ÷ 0.8575
the length of the ladder = 58.309inches