Find the perimeter of a quadrilateral with vertices at G (1, 6), H (2.5, 4), I (1, 2), K (-0.5, 4). Round your answer to the nea
rest hundredth when necessary. (5 points) 5 units 12.5 units 7.5 units 10 units
1 answer:
The points form a rhombus, so the total perimeter is 4 times the length of one side. The difference in coordinates G and H is ...
... H - G = (2.5-1, 4-6) = (1.5, -2)
Then the length of GH can be found from the Pythagorean theorem to be
... GH = √(1.5² + (-2)²) = √(2.25+4) = √6.25
... GH = 2.5
The perimeter is 4 times that, so is 4×2.5 = 10 units.
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Using the z-table, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.
For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
First, solve for the z-score using the formula below.
z-score = (x – μ) / σ
where x = individual data value = 100
μ = mean = 125
σ = standard deviation = 18
z-score = (100 – 125) / 18
z-score = (-25) / 18
z-score = -1.39
Find the probability that corresponds to the z-score in the z-table. (see attached images)
-1.39 - (-1.3) : -1.4 - (-1.3) = x - 0.0968 : 0.0808 - 0.0968
-0.09 : -0.1 = x - 0.0968 : -0.016
x - 0.0968 = -0.09(-0.016)/-0.1
x = -0.0144 + 0.0968
x = 0.0824
x = 0.0824
Hence, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.
Learn more about probability here: brainly.com/question/26822684
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