Hey there!
Median number :-
Given numbers are
2,1,3,5,3,1,4
Arranging in ascending order,
1,1,2,3,3,4,5
Median = 3
Hope this helps :)
A good way of doing this problem would be to use cross multiplication of ratios
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Then cross multiply
(10 girls)(270 students)=(X girls)(18 students)
2700=18x
150=x
Given plane Π : f(x,y,z) = 4x+3y-z = -1
Need to find point P on Π that is closest to the origin O=(0,0,0).
Solution:
First step: check if O is on the plane Π : f(0,0,0)=0 ≠ -1 => O is not on Π
Next:
We know that the required point must lie on the normal vector <4,3,-1> passing through the origin, i.e.
P=(0,0,0)+k<4,3,-1> = (4k,3k,-k)
For P to lie on plane Π , it must satisfy
4(4k)+3(3k)-(-k)=-1
Solving for k
k=-1/26
=>
Point P is (4k,3k,-k) = (-4/26, -3/26, 1/26) = (-2/13, -3/26, 1/26)
because P is on the normal vector originating from the origin, and it satisfies the equation of plane Π
Answer: P(-2/13, -3/26, 1/26) is the point on Π closest to the origin.
Answer:
B. scalene
Step-by-step explanation:
A. acute - all angles are less than 90 degrees
B. scalene - all sides are different lengths
C.equilateral - all sides the same length
D. right- one angle is 90 degrees
Answer:
x = ±3√2
or in decimal:
x = ±4.24
Step-by-step explanation:
x² = 18
x = ±√18
= ±√2√9
= ±3√2
