Given that the hall is rectangular in shape, then the shortest path that Amy must travel to reach Alice would be through the hall's diagonal.
Applying the Pythagorean theorem, with the length and width as the legs and the diagonal as the hypotenuse of the right triangle. Thus,
diagonal = √ ( 100² + 60²) = √13 600 ≈ 116.62 ft
The shortest distance, rounded off to the nearest foot, is 117 ft<span>. </span>
Answer:
10
Step-by-step explanation:
30/100*x=3
Multiply both sides by 100 and divide both by 30
You get the answer x=10
The measure of the interior angle at vertex C is D. 144.
<h3>How to calculate the angle?</h3>
Based on the information given, the angle will be calculated thus:
8x + 8x + 8x + 3x + 3x = (5 - 2) × 180
30x = 540
Divide both side by 30
30x/30 = 540/30
x = 18
Therefore, at vertex C, we have 8x. This will be:
= 8x
= 8 × 18
= 144
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Answer:
A. (X =4) is the event that the student has four cousins: P(X-4) is the probability of the event that the student has four cousins.
Step-by-step explanation:
An event is an individual outcome or any number of outcomes of a random experiment or trial. An even that contains only one sample point is called a simple event. A compound event contains more than 1 sample point and is formed by the union of simple points.
An event A is said to occur only and if only the outcome of the experiment corresponds to some element of A.
In the given question the first symbolic representation gives an event and the second symbolic representation gives the probability.
The probability of X = 2 or 4 is given by P (X=2) or P (X=4) symbollically.
So A is the best choice.
The relative frequency gives the probability so choice B,C and D are wrong.
Answer:
Step-by-step explanation:
1. The answer is 8/35.
2. This works because 8/35 equals 22.857142857142858.
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