Answer: 
Step-by-step explanation:
This car follows a line, hence its motion can be modeled by the Line equation.
In fact, we already have two points of the line, if we call 
the time in hours and 
the traveled distance in miles:
Point 1: 
Since we are told the car's initial position is 300 miles in the time 0 h
Point 2: 
Since we are told the car's final position is 180 miles after 3h
<u />
<u>Let's find the Slope 
:
</u>
This is the slope of the line
Now, the equation of the line is:
We already know the slope, now we have to find the intersection point with the y-axis (
) with any of the given points. Let's choose Point 1:
Isolating :
Then, the equation of the line is:
Answer:
Option 2) Null hypothesis: p = 0.078
, Alternate hypothesis: p > 0.078
Step-by-step explanation:
We are given the following in the question:
According to the National Center of Health Statistics, about 7.8% of all babies born in the U.S. are categorized as low birth weight.
Sample size, n = 1200
p = 7.8% = 0.078
We have to carry a hypothesis test whether national percentage is higher than 7.8% or not.
Thus, we can design the null and the alternate hypothesis
Thus, the correct answer is:
Option 2) Null hypothesis: p = 0.078
, Alternate hypothesis: p > 0.078
Answer:
14 cm
Step-by-step explanation:
There are 2 equal sides of 13 cm, thus the third side is
third side = perimeter - 13 - 13 = 50 - 26 = 14
Answer:
120 miles
Step-by-step explanation:
if the train travels 10 miles every 1/4 hour then in an hour it travels 40 miles per hour. then you will multiply 40 by 3 because the train is traveling for three hours. your answer is 120.
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Answer:
.
Step-by-step explanation:
Let m represent meters and h represent hours.
We have been given that Captain Brain and Mr. Pinky start 1500 meters below the surface of the water and ascend at 37 meters per hour.
Since the submarine ascends at a rate of 37 meters per hour, so elevation of submarine after h hours would be 
.
Since the elevation under water surface is negative, so 1500 meters below the surface of water would be 
.
The final elevation in meters of submarine after h hours would be initial elevation plus change in elevation after h hours that is .
Therefore, the equation . represents the given scenario.
