Answer:
2 mph
Step-by-step explanation:
time = distance / speed
Let c represent the rate of the current. Then the upstream rate of the boat relative to the shore is (5c -c) = 4c, and the <em>upstream time</em> is ...
... 12/(4c) = 3/c.
Likewise, the downstream rate is (5c +c) = 6c, and the <em>downstream time</em> is ...
... 12/(6c) = 2/c.
The <em>total time</em> is the sum of upstream and downstream times:
... 3/c +2/c = 2.5
... 5/c = 2.5 . . . . . . combine terms
... 5/2.5 = c = 2 . . . multiply by c/2.5
Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 1 ← is in slope- intercept form
with slope m = 5
Rearrange 2y - 10x + 3 = 0 into this form
Add 10x to both sides
2y = 10x ( subtract 3 from both sides )
2y = 10x - 3 ( divide all terms by 2 )
y = 5x - 
← in slope- intercept form
with slope m = 5
Since both lines have a slope of 5 then they are parallel.
For quite some time now, calculators have had statistical functions built in. Here we need to use the stat. function normalcdf, which has only two inputs when we're working with z scores instead of raw scores.
Here,
normalcdf(-100,1.25) = 0.894
This same result could be obtained using a table of z-scores.
Answer:
Step-by-step explanation:
