Answer: Destiny's speed is 11 mph.
Alicia's speed is 15 mph
Step-by-step explanation:
Destiny and Alicia both leave the coffee shop at the same time, but in opposite directions. If they are 78 miles apart after 3 hours, it means that the total distance that they covered in 3hours is 78 miles
Let x represent the speed at which Destiny travelled. If Alicia travels 4 mph faster than Destiny, it means that the speed at which Alicia travelled is (x + 4) mph
Distance = speed × time
Distance covered by Destiny in 3 hours is
3 × x = 3x
Distance covered by Alicia in 3 hours is
3(x + 4) = 3x + 12
Since the total distance is 78 miles, then
3x + 3x + 12 = 78
6x = 78 - 12 = 66
x = 66/6 = 11 mph
Alicia's speed is
11 + 4 = 15 mph
The formula for the standard error is this:
σM = σ / √N
where
σM is the standard error
σ is the standard deviation
N is the number of samples
So,
σM = 0.45 / √50
σM = 0.0636 or 6.36%
The standard error is 0.0636
Answer:
a. x > 0.2
Step-by-step explanation:
In either order, subtract the left-side constant and divide by the x-coefficient.
3x +2.4 > 3
3x > 0.6 . . . . . . subtract 2.4
x > 0.2 . . . . . . . divide by 3
__
or
x + 0.8 > 1 . . . . divide by 3
x > 0.2 . . . . . . . subtract 0.8
<u>Answer:</u>
2.5
<u>Step-by-step explanation:</u>
We are given a graph with a positive slope where the value of y increases when the value of x increases.
For the given graph, we are to find the constant of proportionality of y to x which is the slope of the given line.
We know the formula of the slope = 
Substituting the given values in the formula:

Answer:
3 4 6
Step-by-step explanation: