How far, D, does a vehicle travel if it is moving at a rate, r, of 60 km/h and it travels for t =150 minutes? Use the formula D=
1 answer:
The distance of a vehicle travel is 150 km, at a moving rate of 60 km/h for 150 minutes.
Step-by-step explanation:
The given is,
Moving rate, r = 60 km/h
Time, t = 150 minutes
Step:1
We need to find the distance traveled by the vehicle,
From given the formula is
D = rt
Where,
D = Distance in Km
r = Moving rate in Km/h
t = Time in hours
Step:2
We need to convert the time minutes to hours
t = hours
t = 2.5 hours
Step:3
Distance traveled by the vehicle is,
D = 60 × 2.5
= 150
D = 150 Km
Result:
The distance traveled by the vehicle is 150 Km at a moving rate of 60 km/h for 150 minutes.
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Answer:
a) -1.25
b) 0.2112
c) -1.96
Step-by-step explanation:
Data provided in the question:
Sample size, n = 400
H0 : p = 20
= 175
Now,
a) The test statistic is given as:
Z =
on substituting the respective values, we get
Z =
= -1.25
b) The p-value = 2 × P(Z <-1.25)
Now from the standard normal table
P(Z <-1.25) = 10.56% = 0.1056
Thus,
p-value = 2 × 1056 = 0.2112
c) for a = 0.05,
the critical value is i.e
Now from standard normal table
= -1.96