Using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.
<h3>What is the distance formula?</h3>Distance formula for calculating the distance between two points on a coordinate plane is given as: .
Let,
(-3, 4) = (x1, y1)
(2, -3) = (x2, y2)
Plug in the values
c = 8.6 units.
Therefore, using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.
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Answer:
Step-by-step explanation:
The z-score tells us how many standard deviations a value is away from the mean.
The formula is:
where x is the value, is the mean, and s is the standard deviation.
We want to find the z-score for the score of an 83, the mean is 72, and the standard deviation is 5.
Substitute the values into the formula.
Solve the numerator.
Divide.
The z-score is 2.2, which means the score of 83 is 2.2 standard deviations above the mean.
Answer:
Step-by-step explanation:
32.3 is a decimal number in which 3 is the digit at the tenth place.
Mixed number contains a whole number and a fraction part.
32.3 expressed as mixed fraction is , here 32 is the whole number and
is the fraction part.
is the fraction in the simplest form.
For this reason, 32.3 expressed as a mixed number in the simplest form is .