It's the amount of money that he earns for every lawn.
Answer:
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- <u>The correct answer is the first choice: Hinge Theorem.</u>
Explanation:
The <em>Hinge Theorem</em> compares the lengths of two sides of two triangles, given that the other two pairs of sides are congruent and the included angles are different.
The theorem states that if two sides of a triangle are congruent to two sides of another triangle and the included angle of one triangle is greater than the included angle of the other triangle, then length of the third side of the first triangle is greater than the length of the third side of the second triangle.
The figures shows triangles UVT and STV
The angle UVT is greater than the angle STV.
The sides ST and VU are congruent, as the small vertical marks indicate.
The side TV is a common side of both triangles.
Then, you already have that two sides of the triangle STV are congruent to two sides of triangle UVT and the angle UVT is greater than the angle STV.
Hence, by the HInge Theorem the side TU is greater than side SV.
2.5 is the mean of this distribution.
What is the distribution's mean?
- The expected value, commonly known as the mean of a statistical distribution with a continuous random variable, is calculated by integrating the product of the variable's probability as described by the distribution.
- The lowercase Greek letter mu () stands for the expected value. A probability of 50% equals zero standard deviations, and the mean is in the middle of the normal distribution.
Given: p = 0.05 and n= 50
Mean of the binomial distribution = n×p = 50 × 0.05 = 2.5
Therefore, option a is the correct answer. Other options are incorrect because these are irrelevant.
Learn more about binomial distribution
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Answer: 7
Step-by-step explanation:
Answer:
504 miles
Step-by-step explanation:
Make a proportion
= 
7/12 is 0.5833, so multiply 864 by that to find the number of miles
864(0.5833) = 504