The distance between those two points is 41 and in decimal form to the nearest tenth, that's 6.4
Explanation:
Use the distance formula: √(x2 - x1)² + (y2 - y1)²
Then we plug in our x's and y's:
√(4 - (-1))² + ((-1) - 3)²
Then you simplify:
√(5)² + (-4)² = √25 + 16
√41 (And if you need to, you can put this into decimal form.)
Answer:
The equation is y = 4x + 5
Step-by-step explanation:
To find the equation to this table, pick two ordered pairs and use the slope formula to find the slope. For this we'll use (4, 21) and (8, 37).
m(slope) = (y2 - y1)/(x2 - x1)
m = (37 - 21)(8 - 4)
m = 16/4
m = 4
Now we can use that slope along with any point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 21 = 4(x - 4)
y - 21 = 4x - 16
y = 4x + 5
Student 4 has the largest percent error.
Step-by-step explanation:
The percent error of a measurement is given by

where
x is the value of the measurement
is the actual value
For student 1:

Percent error:

For student 2:

Percent error:

For student 3:

Percent error:

For student 4:

Percent error:

So, student 4 has the largest percent error.
Learn more about errors:
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Answer: Option (c) is correct. Rate of interest = 6% p.a.
Step-by-step explanation:
Given that,
principal amount = $2000(loan)
time period = 284 days
interest amount (SI) = $93.37
we have to calculate the rate of interest (i),
Simple interest(SI) = principal amount × rate of interest (i) × time period
93.37 = 2000 × i ×
i = 
i = 0.06
i = 6%
Answer: A. 0.20
Step-by-step explanation:
Let A be the event of employees needed corrective shoes and B be the event that they needed major dental work .
We are given that : 
We know that 
Then, 
Hence, the probability that an employee selected at random will need either corrective shoes or major dental work : 
hence, the correct option is (A).