Step-by-step explanation:
for that we use Pythagoras, as the distance is always the baseline (Hypotenuse) of a right-angled triangle created by the x and y coordinate differences between the 2 points.
15.
distance² = (8-3)² + (9-2)² = 5² + 7² = 25 + 49 = 74
distance = sqrt(74) = 8.602325267...
16.
we need to write down the point coordinates first :
(-4, 3)
(1, -3)
distance² = (1 - -4)² + (-3 - 3)² = 5² + (-6)² = 25 + 36 = 61
distance = sqrt(61) = 7.810249676...
Answer:
Center: (9, 4)
Radius: 20
Explanation:
(x - 9)² + (y - 4)² = 400
The Circle Formula:
(x - h)² + (y - k)² = r²
where (h, k) is center points, r is radius
Rewrite the equation:
(x - 9)² + (y - 4)² = 20²
Identify following:
h = 9, k = 4, radius = 20
Answer:
t=40+20w
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In statistics, the standard deviation deviation may be a measure of the quantity of variation or dispersion of a group of values. The margin of error may be a statistic expressing the number of sampling error within the results of a survey. The correlation could be a statistical measure of the strength of the connection between the relative movements of two variables.
Given nothing and that we need to explain standard deviation. margin of error, correlation coefficient .
Standard deviation
In statistics, the standard deviation may be a measure of the number of variation or dispersion of a group of values. an occasional variance indicates that the values tend to be near the mean of the set, while a high variance indicates that the values are detached over a wider range.
Formula: 
where x bar is mean and N is size of population.
Margin of error
The margin of error may be a statistic expressing the quantity of sampling error within the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the results of a survey of the complete population.
Formula for M=z*s/
here z is z value of Z score , s is variance , n is that the sample size.
Correlation coefficient
In statistics, the Pearson parametric statistic ― also called Pearson's r, the Pearson product-moment parametric statistic, the bivariate correlation, or colloquially simply because the coefficient of correlation ― could be a measure of linear correlation between two sets of information.
Formula=∑
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Learn more about correlation coefficient at brainly.com/question/4219149
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The perimeter of the kite WXYZ is 33.94 square units
Step-by-step explanation:
Step 1; First we plot the points W, X, Y, Z on the graph. We need to find the distance between the opposite sides i.e W and Y, X and Z. To find the distance between W and Y, X and Z we use the formula
Distance = √ (x2 - x1)² + (y2 - y1)².
So for W (-3, 3) and Y (4, -4) where W is (x1, y1) and Y is (x2, y2).
Distance = √(4 - (-3))² + (-4 -3)² = √49 + 49 = √98 = 9.899.
Distance between X (2, 3) and Z (-3, -2) where X is (x1, y1) and Z is (x2, y2).
Distance = √(-3 -2)² + (-2 -3)² = √25 + 25 = √50 = 7.071.
Step 2; The parameter of a kite is given by 2 times the sum of the two distances between opposite sides.
Parameter = 2 × (9.899 + 7.071) = 2 × 16.97 = 33.94 square units.