Answer:
2. Stepford is the least consistent in daily temperatures because its standard deviation is the highest.
Step-by-step explanation:
Standard deviation is the average amount that each data point is from the mean. The lower the standard deviation is, the closer each data point is to the mean; this means it is more consistent if it has a low standard deviation.
Stepford has the highest standard deviation; this means it is the most variable, or least consistent.
Hello!
To find how far the ship has sailed, we need to use the distance formula. The distance formula is:
.
Before using the formula, we need to assign the given points to
and
. The point (1, 2) can be assigned to
and (5, 5) can be assigned to
.
With the assigned ordered pairs, we can substitute it into the formula.




Given that each unit represents one mile, then therefore the ship has sailed 5 miles, which is choice A.
Answer:
This system of equations has no solution.
Step-by-step explanation:
Solving a system of equations can be done using a few different methods. Since your second equation is already solved for 'y', you can substitute this expression (-
x + 3) for the value of 'y' in the first equation:
2x + 4(-
x + 3) = 10
Distribute: 2x - 2x + 12 = 10
Combine like terms: 0 + 12 = 10 or 12 ≠ 10
Since the variables cancel out and 12 ≠ 10, there are no solutions to this system.
Answer:
x = -1
Step-by-step explanation:
<u>Step 1: Combine like terms on the right side
</u>
6 - 8x = 7x - 9x + 12
6 - 8x = -2x + 12
<u>Step 2: Add 8x to both sides
</u>
6 - 8x + 8x = -2x + 12 + 8x
6 = 6x + 12
<u>Step 3: Subtract 12 from both sides
</u>
6 - 12 = 6x + 12 - 12
-6 = 6x
<u>Step 4: Divide both sides by 6
</u>
-6 / 6 = 6x / 6
-1 = x
Answer: x = -1