Ted likes to run long distances. He can run 20 kilometers in 95 minutes. How far will Ted run in 285 minutes? (numeric only) *
1 answer:
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Answer:
Test statistic = 2
P-value = 0.0227
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $98
Sample mean, = $100
Sample size, n = 100
Population standard deviation, σ = $10
First, we design the null and the alternate hypothesis
Formula:
Putting all the values, we have
Now, we can calculate the p-value from the normal table
P-value = 0.0227
Answer:
Option (C)
Step-by-step explanation:
Given sides of a triangle are 2, and
.
Option (A).
If the triangle is a right triangle.
By Pythagoras theorem,
(Longest side)² = (Leg 1)² + (Leg 2)²
19 = 4 + 12
19 = 16
Not true.
Therefore, its not a right triangle.
Option (B).
If it is a triangle following conditions will be followed.
1). a + b > c
2). b + c > a
3). a + c > b
For the given sides of the triangle,
1). 2 + √12 > √19 [True]
2). 2 + √19 > √12 [True]
3). √12 + √19 > 2 [True]
Therefore, the given measures of the sides will form a triangle.
Option (C)
By Pythagorean inequality theorem,
If c² = a² + b² → Right triangle
If c² > a² + b² → Obtuse triangle
If c² < a² + b² → Acute triangle
Since, (√19)² > 2² + (√12)² → 19 > 4 + 12
Therefore, the given triangle is an Obtuse triangle.
Option (D).
Not true. It's an obtuse triangle.