Answer:
The demonstration is showed below
Step-by-step explanation:
The distance betwenn two points is given by:
If the point is equidistant from a point and a line, the distance must be equal. For the line let's select the point (x,-4), because the distance will be ortogonal, and is the small distance between a point and a line. So:
Removing the squares:
(x-2)² + y² = (y+4)²
(x-2)² + y² = y² + 8y + 16
y² - y² - 8y = 16 - (x-2)²
8y = (x-2)² - 16
y = (1/8)*(x-2)² - 16/8
y = (1/8)*(x-2)² - 2
50mph
Step-by-step explanation:
The image of the motion of Paul's derive is attached already.
From the line graph we can obtain a lot of information that will help us unravel the average speed of Paul within the given time frame.
What is average speed?
Average speed is the rate of change of total distance covered with time taken .
Average speed =
To find the total distance covered;
Distance at time 1 = 75miles
Distance at time 4 = 225miles
Distance covered between 1 - 4 = 225 - 75 = 150miles
Time taken for the journey = 4 - 1 = 3hrs
Input the values in the equation;
Average speed = = 50mph
learn more:
Speed and motion brainly.com/question/10048445
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The stronger the evidence is against the null hypothesis, the higher the divergence from it.
What do you mean by null hypothesis ?
A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations. Using sample data, hypothesis testing is performed to judge a theory' veracity. It is sometimes referred to as just "the null," and its symbol is . To determine if a theory regarding markets, investing methods, or economies is correct or wrong, quantitative analysts employ the null hypothesis,
The null hypothesis states that the percentage of the population who works full time is 0.45.
As a result, 450 persons who are randomly selected from a population of 1000 work full-time.
A different hypothesis states that the ratio is higher than 0.45.
In the options provided, the proportion for the first option is 300/1000, or 0.3.
In the second choice, 500/1000 equals 0.5
Third alternative: 700/1000 = 0.7
Therefore, the stronger the evidence is against the null hypothesis, the higher the divergence from it.
To learn more about the null hypothesis from the given link.
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