Answer:
A. No, the estimate should be higher
Step-by-step explanation:
To determine the maximum number of gallons of fuel the car can consume, we express this as;
Maximum miles driven=highest consumption per gallon×Maximum gallons
where;
Maximum miles driven per person=64 mile
Maximum miles driven=64×4=256 miles
highest consumption per gallon=24.56 miles per gallon
Maximum gallons=g
replacing;
256=24.56×g
24.56 g=256
g≥256/24.56=10.42 gallons
g≥10.42 gallons
No, the estimate should be higher
Answer:
5 hours
Step-by-step explanation:
The formula to relate speed, distance and time is:
D = V * t
Where D is the distance, V is the speed and t is the time.
As they are in opposite directions, we need to sum the speed.
So the total speed is:
V = 63 + 59 = 122 mph
So using this value and V and using D = 610, we have:
610 = 122 * t
t = 610 / 122 = 5 hours
So they will be 610 miles apart after 5 hours.
Answer:
a.0.8664
b. 0.23753
c. 0.15866
Step-by-step explanation:
The comptroller takes a random sample of 36 of the account balances and calculates the standard deviation to be N42.00. If the actual mean (1) of the account balances is N175.00, what is the probability that the sample mean would be between
a. N164.50 and N185.50?
b. greater than N180.00?
c. less than N168.00?
We solve the above question using z score formula
z = (x-μ)/σ/√n where
x is the raw score,
μ is the population mean = N175
σ is the population standard deviation = N42
n is random number of sample = 36
a. Between N164.50 and N185.50?
For x = N 164.50
z = 164.50 - 175/42 /√36
z = -1.5
Probability value from Z-Table:
P(x = 164.50) = 0.066807
For x = N185.50
z = 185.50 - 175/42 /√36
z =1.5
Probability value from Z-Table:
P(x=185.50) = 0.93319
Hence:
P(x = 185.50) - P(x =164.50)
= 0.93319 - 0.066807
= 0.866383
Approximately = 0.8664
b. greater than N180.00?
x > N 180
Hence:
z = 180 - 175/42 /√36
z = 5/42/6
z = 5/7
= 0.71429
Probability value from Z-Table:
P(x<180) = 0.76247
P(x>180) = 1 - P(x<180) = 0.23753
c. less than N168.00?
x < N168.
z = 168 - 175/42 /√36
z = -7/42/6
z = -7/7
z = -1
Probability value from Z-Table:
P(x<168) = 0.15866
