Given:
First term of an arithmetic sequence is 2.
Sum of first 15 terms = 292.5
To find:
The common difference.
Solution:
We have,
First term:
Sum of first 15 terms:
The formula of sum of first n terms of an AP is
Where, a is first term and d is common difference.
Putting , n=15 and a=2 in the above formula, we get
Divide both sides by 15.
Dividing both sides by 7, we get
Therefore, the common difference is 2.5.
Answer: Scalene triangle
Step-by-step explanation:
All triangles have three sides with specific lengths and angles, but a scalene triangle is a kind of triangle that has each of its three sides to be of different lengths and angles.
Hence, a triangle that measures 39°, 104°, and 37° definitely has three sides with different lengths and angles.
Thus, it is a scalene triangle.
The interval for mean sale price is $582
According to statement
The given rates are 560, 468, 685, 534, 658, 593
Now,
Sample mean = X / n
Put the values in it and then
(560+ 468+ 685+ 534+ 658+ 593) / 6 = 582.1667
and use this formula S = sqrt [ X2 - n 2 / (n-1) ]
and put the values in these and
S = sqrt [ X2 - n 2 / (n-1) ] = 95.97179
So, The interval for mean sale price is $582
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Answer:
y = -1/2x+4
Step-by-step explanation:
y = 2x-1
This equation is in slope intercept form y = mx+b where m is the slope
m=2
A line perpendicular will have a slope that is the negative reciprocal
m = -1/2
Using the slope intercept form
y = mx+b
y = -1/2x+b
and the point given (2,3)
3 = -1/2(2)+b
3 = -1+b
4 =b
y = -1/2x+4 is the equation of a line that is perpendicular to the original line and contains (2,3)