Answer:
Step-by-step explanation:
The 90th percentile of a normally distributed curve occurs at 1.282 standard deviations. Similarly, the 10th percentile of a normally distributed curve occurs at -1.282 standard deviations.
To find the 
percentile for the television weights, use the formula:
, where 
is the average of the set, 
is some constant relevant to the percentile you're finding, and 
is one standard deviation.
As I mentioned previously, 90th percentile occurs at 1.282 standard deviations. The average of the set and one standard deviation is already given. Substitute 
, 
, and 
:
Therefore, the 90th percentile weight is 5.1282 pounds.
Repeat the process for calculating the 10th percentile weight:
The difference between these two weights is 
.
Answer:
- solutions: (2, 10), (4, 5)
- non-solutions: all other points
Step-by-step explanation:
It can be useful to graph the inequalities related to Tyler's limits of money and weight.
1x +3y ≤ 36 . . . . . . the limit on the cost of the items Tyler can afford
1x +1.5y ≤ 20 . . . . . the limit on the weight of the items Tyler can carry
Then plotting the given points shows that only (2, 10) and (4, 5) are in the doubly-shaded area that is the solution space. The other points are not a solution.
Explanation:
The number of Beverages present at the store ;
Soda = 2000ml = 2L
Apple Juice = 2.5L
Fruit Punch = 1.5L
Lemonade = 2L
Now, we have to buy exactly 10 liters but it should be at least one container of each beverage.
Soda + Apple juice + Fruit Punch + Lemonade = 8L
So we need 2 L more.
The only way of doing this is by either having 2 containers of soda or 2 containers of lemonade.
We can conclude that the correct answer is:
Answer:The combination of beverages she can purchase is:Soda = 2 containerApple juice = 1 containerFruit punch= 1 containerLemonade = 1 container
Answer:
2.65 feet
Step-by-step explanation:
Each revolution corresponds to a central angle of 2π radians, so 12 revolutions represent an arc of 24π radians. That means the arc length of 1 radian is ...
(1 rad)(200 ft)/(24π rad) ≈ 2.65 ft
The length of the arc with a central angle of 1 rad is about 2.65 feet.
For this case we have the following expression:
We follow the steps below:
We subtract 4x on both sides of the equation:
We subtract 10 from both sides of the equation:
Now, we must complete squares.
When we have an equation of the form:
, if we want to complete squares we must subtract c on both sides of the equation obtaining:
The square is completed by adding to both sides of the equation:
So, we have left:
In the given expression we have:
And to complete the square we have:
Rewriting we have:
We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:
So, we have:
Answer:
The intermediate step is to complete squares
