Answer:

Step-by-step explanation:
Let n be the number of tickets Makaya has to buy.
If the cost of one ticket is $1.5, then the cost of n tickets is $1.5n.
Makayla has $8 to buy tickets at the school fair, thus

The maximum number of tickets Makaya can buy is 5, so

The total population of the town is 2270 people.
Note that: (10x - 61) & (x + 10) are supplementary angles, and (10x-61) & (18y + 5) are vertical angles
10x - 61 + x + 10 = 180
Simplify
11x - 51 = 180
Isolate the x
11x - 51 (+51) = 180 (+51)
11x = 231
Divide 11 from both sides
11x/11 = 231/11
Divide
x = 21
180 = 18y + 5 + x + 10
180 = 18y + 5 + (21) + 10
Simplify
180 = 18y + 36
Subtract 36 from both sides
180 (-36) = 18y + 36 (-36)
144 = 18y
Divide 18 from both sides
144/18 = 18y/18
y = 144/18
y = 8
x = 21, y = 8 are your answers
hope this helps
Answer:
The standard deviation of the data set is
.
Step-by-step explanation:
The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)
To find the standard deviation of the following data set

we use the following formula

Step 1: Find the mean
.
The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:


Step 2: Create the below table.
Step 3: Find the sum of numbers in the last column to get.

Step 4: Calculate σ using the above formula.
