Answer: {-5, 5}. Product is -25, which is the minimum.
Explanation:
let a, b denote the two numbers. We know that b-a=10.
We are looking for a minimum over the product a*b.
One can minimize this using derivatives. In case you have not yet had derivatives, you can also use the vertex of a parabola (since the above is a quadratic form):
The minimum is at the vertex a=-5 and so b=5
Their distance is 10, and their product attains the minimum value of all possiblities -25.
<span>Given the table below where Low represents the fewest
points scored and High represents the highest points scored by a single
team member.
PART A:
The range, the IQR (inter-quartile range) and the standard deviations are measures which are used to measure the spread of a data set.
A dataset is more consistent relative to another data set when the standard deviation is less than that of the other data set.
From the table, it can be seen that Team C has the least standard deviation.
Therefore, </span><span>If
the club wants to award the team that has the most consistent scoring
among its team members,
team C should be chosen.
PART B
The mean and the median is a measure of center of a data set.
The mean describes the average of a data set.
From the table, it can be seen that Team B has the highest average score.
Therefore, </span><span>If the club wants to award the team with the highest average score,
team B should be chosen.</span>
A perfect cube is a number that is a cube of an integer.
No.
This is because the y value of 1 repeats itself, which never happens in an exponential function. This function is likely quadratic, which forms a parabola.
Step-by-step explanation:
Since the ratio of monthly income to savings of the family is 7:2, we assume that the income be 7t and savings be 2t
Now, we are given that the savings is =Rs 500
So, According to our assumption, 2t=500
⇒t=250
Hence, the income of the family is =7×250=Rs 1750
And the expenditure is =Income−Savings
=Rs 1750−Rs 500
=Rs 1250