The distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units
<h3>Distance between two points</h3>
The formula for calculating the distance between two points is expressed as:
D = √(y2-y1)²+(x2-x1)²
Given the coordinate points X(−4,3) and Y(2,−7)
Substitute
XY = √(-7-3)²+(2+4)²
XY = √(-10)²+(6)²
XY = √100+36
XY = √136
XY = 11.7 units
Hence the distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units
Learn more on distance here: brainly.com/question/17273444
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Answer:
a=28, b=-15
Step-by-step explanation:
Answer:
The probability that the temperature on a given day in February is 22º or lower is 16.7 %
Step-by-step explanation:
Given:
Average Temperature,
Standard Deviation of Temperature, [tex\sigma=8.5^{\circ}[/tex]
We have to find: Probability that the temperature is 22° or lower
.i.e., P[ X ≤ 22 ]
Let X be the Temperature on a given day in February.
We use Z-score to calculate required probability.
First we convert X into Z using this relationship,
Now, Probability [ Z ≤ -0.965 ] = 0.167272 = 16.7 %
Therefore, The probability that the temperature on a given day in February is 22º or lower is 16.7 %