Answer:
Answer: 155.12km
Step-by-step explanation:
sin(64˚) x 78 = 70.11 (2DP)
70.12 (2DP) + 85 = 155.1059356 (155.12 - 2DP)
Answer:
-3, 0, -1.5, 0, 1.5, 3
Step-by-step explanation:
Step-by-step explanation:
b) average velocity : ∆x/∆t = 100/9.8 ≈ 10.204 m/s
c) ∆x = v.∆t = 10.204 × 3 = 30.612 m
d) ∆t = ∆x/v = 80/10.204 = 7.84 s
Answer:
z = 10
Step-by-step explanation:
The value of the z-statistic is given by:

In which:
X is the measured value.
is the expected value.
is the standard deviation of the sample.
is the standard deviation of the population.
In this question:
The mean length was 2.9 inches, and the population standard deviation is 0.1 inch.
This means that 
Random sample of 100 screws.
This means that n = 100.
To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?
3 inches, so 




Answer: $28000 was collected at the door.
Step-by-step explanation:
Let x represent the total amount collected of admission feets collected at the door.
She was paid $3000 plus 2% of all admission fees collected at the door. This means that the total amount she was paid for collecting x admission fees at the door is expressed as
3000 + 2/100 × x
= 3000 + 0.02x
The total amount she received for the day was $3560. It means that
3000 + 0.02x = 3560
0.02x = 3560 - 3000
0.02x = 560
x = 560/0.02
x = 28000