Answer = B, because 2% of 55,000 equals $1,100 then you add the $700 salary bringing you to the minimum $1,800
Answer: the rate at which the distance between the boats is increasing is 68 mph
Step-by-step explanation:
The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.
Let x represent the length the shorter leg(south) of the right angle triangle.
Let y represent the length the longer leg(east) of the right angle triangle.
Let z represent the hypotenuse.
Applying Pythagoras theorem
Hypotenuse² = opposite side² + adjacent side²
Therefore
z² = x² + y²
To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes
2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1
One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that
dx/dt = 32
dy/dt = 60
Distance = speed × time
Since t = 0.5 hour, then
x = 32 × 0.5 = 16 miles
y = 60 × 0.5 = 30 miles
z² = 16² + 30² = 256 + 900
z = √1156
z = 34 miles
Substituting these values into equation 1, it becomes
2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60
68dz/dt = 1024 + 3600
68dz/dt = 4624
dz/dt = 4624/68
dz/dt = 68 mph
The standard error for the distribution of sampling proportions will be 0.0686.
<h3>What is standard error for the distribution of sampling proportions?</h3>
In mathematics, the difference between a data set and the populace's true average is known as primary data deviation from the mean.
According to the National Postsecondary Student Aid Study conducted by the U.S.
Department of Education in 2008, 62% of graduates from public universities had student loans.
We randomly select 50 students at a time.
Then the standard error for the distribution of sampling proportions will be
More about the standard error for the distribution link is given below.
brainly.com/question/14524236
#SPJ1
Answer:
Liddell's Team
Step-by-step explanation:
71x10 = 710
Answer:
Step-by-step explanation:
Alright, lets get started.
The given equation is :
taking log on both side
Plugging the value of ln e as 1
Subtracting 6 in both sides
Dividing 3 in both sides
........................ Answer
Hope it will help :)
