Answer:
41235
Step-by-step explanation:
There are 120 five-digit numbers that can be made from the digits 1, 2, 3, 4, 5 if each digit is used once in the number,
The total number of times where each number will occur or be at first place is calculated as:
4! = 4 × 3 × 2 × 1
= 24
Hence,
24th number = The last number where 1 is at first place
We can write this out as:
12345
12354
12435
12453
12534
12543
13245
13254
13425
13452
13524
13542 e.t.c.
48th number = The last number where 2 is at first place
72nd place = The last number where 3 is at first place.
This means, the 73rd number is the first number where 4 is at first place.
Therefore, the 73rd number based on pattern is 41235
Since 10 millimeters is equal to 1 centimeter, all you have to do is divide 500 by 10. So, 500 divided by 10 is equal to 50. The final answer is 50 centimeters.
~hope it helps :)
Answer:
25
Step-by-step explanation:
Given the model:
y=−3.5x+400
Number of children in amusement park = y
Temperature = x
On a certain day:
Temperature = 90°F
Number of children in park = 60
Using the model :
The predicted number of children in park when temperature is 90°F would be :
y = - 3.5(90) + 400
y = - 315 + 400
y = 85
Model prediction = 85 children
Actual figure = 60
Residual :
|Actual - predicted | = |60 - 85| = 25 children
We will use addition to find the length of the new, longer hose.
6.25 feet + 5.755 feet + 6.5 feet = 18.505 feet is the length of the new longer hose.
When you apply for a loan, the lender will verify your income. They want to be sure you were able to make the payment owed to them.
When you link your loan to an asset, it is called a secured loan. This means that you offer an item of value to the lender just in case you're not able to make your payments.