Answer:
- 5 times
- $22.75
Step-by-step explanation:
1. Let n represent the number of times you can ride. To keep the cost within your budget, you must have ...
2.75n ≤ 15.00
n ≤ 5.45
You can ride 5 times. You don't have enough money to ride 6 times.
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2. You can choose the correct answer using estimation of the costs. (You only need to work out the numbers in detail if an estimate doesn't get you close enough.)
3 all-day passes are a little more than $20 each, so cost a little more than $60.
2 rides on the Mountain Coaster are another $9, so your total cost will exceed $69. That means you will get less than $31 in change from $100. The only answer choice in that range is $22.75.
If you add up the costs of the passes and rides, you find they come to $77.25, so your change from $100 will be $22.75.
Question has missing details (Full question below)
Measurement error that is continuous and uniformly distributed from –3 to +3 millivolts is added to a circuit’s true voltage. Then the measurement is rounded to the nearest millivolt so that it becomes discrete. Suppose that the true voltage is 219 millivolts. What is the mean and variance of the measured voltage
Answer:
Mean = 219
Variance = 4
Step-by-step explanation:
Given
Let X be a random variable measurement error.
X has a discrete uniform distribution as follows
a = 219 - 3 = 216
b = 219 + 3 = 222
Mean or Expected value is calculated as follows;
E(x) = ½(216+222)
E(x) = ½ * 438
E(x) = 219
Variance is calculated as follows;
Var(x) = ((b-a+1)²-1)/12
Var(x) = ((222-216+1)²-1)/12
Var(x) = (7²-1)/12
Var(x) = 48/12
Var(x) = 4
Answer:
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63/12 = 4.2
4.2 x 12 = 50.4
x = 50.4
