Sophie has to choose seven different positive (non zero) whole numbers whose mean is 7.
1 answer:
Answer:
The largest possible number is 28.
Step-by-step explanation:
Sophie has to choose seven different numbers whose mean is 7, this means that the sum of the numbers is 49. (since the mean is the sum of them all divided by 7 and if we want the mean to be 7, then the sum would need to be 49).
We are asked what is the largest possible number she could choose, so therefore, the other six numbers should be non-zero and the smallest ones so she would have to choose the numbers from 1 to 6 first.
Let's see how much they sum up:
So now, she needs one more number to sum up to 21 and that will give her 49 in total, this number is 28 (since 28 + 21 =49).
Thus, 28 is the largest number she could choose because if she chose any other greater number the mean would be bigger than 49.
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Answer:
46.2 mi is the right answer.
Step-by-step explanation:
In this question we will follow the property of congruence of two triangles.
Here two triangles formed are triangle formed by Alba, Cray and Blare and a triangle formed by Service station, Cray and Blare.
The distance between Alba and Blare = 130 mi
The distance between Alba and Cray = 120 mi
As we know in the congruent triangles all sides are in the same ratio.
Now we apply the property of the theorem
x = 46.2 mi