Answer:
4 tickets were sold
Step-by-step explanation:if you have 100 of anything. 5 sets of 20=100
Are there options to this?
Answer:
65min.
Step-by-step explanation:
45min. is 20min. less than _______
45 = x - 20
x = 45 + 20
x = 65
The value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y is
Step-by-step explanation:
The system of equations has two equations:
Let us solve the system of equations to find the value of x and substitute it in the two equations to check if it gives the same value of y in the two equations
∵ -9x + 4y = 8 ⇒ (1)
∵ -3x - y = 4 ⇒ (2)
- Multiply equation (2) by 4 to make the coefficients of y in the
two equations have same value and different signs
∴ -12x - 4y = 16 ⇒ (3)
- Add equations (1) and (3) to eliminate y
∴ -21x = 24
- Divide both sides by -21
∴ x =
Let us substitute this value of x in equations (1) and (2) to find y
∵ -9(
) + 4y = 8
∴
+ 4y = 8
- Subtract
from both sides
∴ 4y =
- Divide both sides by 4
∴ y =
∵ -3(
) - y = 4
∴
- y = 4
- Subtract
from both sides
∴ - y =
- Divide both sides by -1
∴ y =
The value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y is
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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Answer:
σ should be adjusted at 0.5.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean 12.
Assuming we can precisely adjust σ, what should we set σtobe so that the actual amount dispensed is between 11 and 13 ounces, 95% of the time?
13 should be 2 standard deviations above the mean of 12, and 11 should be two standard deviations below the mean.
So 1 should be worth two standard deviations. Then



σ should be adjusted at 0.5.