Convert 9 yards into feet: 9 yards * (3 feet) / (1 yard) simplifies to 27 feet.
9 yards, or 27 feet, is shorter than 29 feet.
29 feet is longer than 27 feet.
Answer:
6600
Step-by-step explanation:
y = 15000( 1.2) ^ (x/3)
Let x = 6 years
y = 15000( 1.2) ^ (6/3)
y = 15000( 1.2) ^ (2)
y = 15000( 1.44)
y =21600
This is the total amount in the account
We want the profit
Subtract the original amount in the account
21600-15000
6600
An easier way to think of this problem is just keep adding for each additional hour:
0.5 hours --> $2
1.5 hrs --> $3.75
2.5 hrs --> $5.50
3.5 hrs --> $7.25
and since you can only spend $7, the maximum time is 2.5 hours
If he ate 4 of them, but it means he ate 2/5 muffins,
4 muffins = 2/5 muffins
You substitute x muffins for how much muffins she baked in all -
2/5* x muffins = 4
2/5 multiply by 2/5 to cross it out. Do the same to the other side.
x= 4 *5/2
x = 10 muffins
So there were 10 muffins in all
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
