1.
1 answer:
The probability of randomly selecting an order that has at least 760
calories is 0.16
Step-by-step explanation:
The number of calories in an order of poutine at a certain fast food
restaurant is approximately normally distributed
1. The mean "μ" is 740 calories
2. The standard deviation "σ" is 20 calories
3. We need to find the probability of randomly selecting an order that
has at least 760 calories (x ≥ 760)
At first let us calculate z-score
∵ z = (x - μ)/σ
∵ x = 760 calories
∵ μ = 740 calories
∵ σ = 20 calories
∴ z =
Use the normal distribution table of z (area to the left of z-score) to
find the corresponding area to z-score of 1
∵ The area corresponding of z = 1 is 0.84134
∵ We interested in x ≥ 760, we need the area to the right of z-score
∴ P(x ≥ 760) = 1 - 0.84134
∴ P(x ≥ 760) = 0.15866 ≅ 0.16
The probability of randomly selecting an order that has at least 760
calories is 0.16
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The smallest county is 129 square miles large.
Step-by-step explanation:
Let,
Smallest county = x
Largest county = y
According to given statement;
The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state.
y = x+6064 Eqn 1
The size of the largest county is 48 times the size of the smallest county plus one square mile.
y = 48x+1 Eqn 2
As Eqn 1 and Eqn 2 are both equal to y, therefore,
Eqn 1 = Eqn 2
Dividing both sides by 47
The smallest county is 129 square miles large.
Keywords: linear equation, substitution method
Learn more about substitution method at:
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Answer:
will be inequality which shows the times there will be more than 10 gallons in the barrel.
Step-by-step explanation:
To determine:
Write an inequality showing the times there will be more than 10 gallons in the barrel.
Information Fetching and Solution Steps:
- Skylar is filling a barrel with water.
- The graph shows the relationship between time in minutes and the gallons of water in the barrel.
As the questions asks to determine the inequality showing the times there will be more than 10 gallons in the barrel.
For inequalities with 'more than', we use the 'greater than' symbol.
The graph shows that at time 15 minutes, the number of gallons of water is being shown as 10. As we have to determine the inequality for the time there will be more than 10 gallons in the barrel. So, time must be greater than 15 when there will be more than 10 gallons in the barrel.
If time is represented by 't', then the inequality showing the times there will be more than 10 gallons in the barrel will be:
Therefore, will be inequality which shows the times there will be more than 10 gallons in the barrel.