One of two supplementary angles is five times the other. Find the measure of each angle
1 answer:
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Answer:
a) 22497.7 < μ< 24502.3
b) With 99% confidence the possible error will not exceed 1002.3
Step-by-step explanation:
Given that:
Mean (μ) = 23500 kilometers per year
Standard deviation (σ) = 3900 kilometers
Confidence level (c) = 99% = 0.99
number of samples (n) = 100
a) α = 1 - c = 1 - 0.99 = 0.01
Using normal distribution table, is the z value of 1 - 0.005 = 0.995 of the area to the right which is 2.57.
The margin of error (e) is given as:
The 99% confidence interval = (μ - e, μ + e) = (23500 - 1002.3, 23500 + 1002.3) = (22497.7, 24502.3)
Confidence interval = 22497.7 < μ< 24502.3
b) With 99% confidence the possible error will not exceed 1002.3
Answer:
Justin spends $14.24 on gas to travel to work.
Step-by-step explanation:
Given:
Average speed at which Justin goes to work = 65 miles/hour
Time taken by Justin to arrive at work = 1 hour and 30 minutes = 1.5 hours [As 30 minutes =0.5 hours]
Distance he can travel per gallon of gas = 25 miles.
Cost of per gallon of gas = $3.65
Solution:
We first determine the distance Justin travels to work.
Distance =
Distance =
Using unitary method to find the amount of gas required to cover the distance.
If 25 miles is covered in 1 gallon of gas
Then 1 mile will be covered in = gallons of gas
So, to cover 97.5 miles gas required = gallons of gas.
Using unitary method to find the cost of 3.9 gallons of gas.
Cost of 1 gallon of gas = $3.65
So, cost of 3.9 gallons of gas will be = (Answer)