Answer:
Median highland = 16 mm
Median lowland = 16 mm
Step-by-step explanation:
For the highland area :
The sample size, n = 44
Obtain the median value using :
1/2 * (n + 1)th term
1/2 * (44 +1) th term
1/2 * 45 = 22.5th term.
(22nd + 23rd) term / 2
(16 + 16) / 2 = 16 mm
For the lowland area :
1/2 * (n + 1)th term
1/2 * (44 +1) th term
1/2 * 45 = 22.5th term.
(22nd + 23rd) term / 2
(12 + 12) / 2 = 12 mm
Answer:
b. the symbol has or equal to
Step-by-step explanation:
Required
When does an inequality have a solid line
The question is pretty straightforward and the answer is (b) which means that when the symbol has or equal to.
This implies that, the symbol could be:
> or = i.e. 
and it could also be:
< or = i.e. 
Take for instance:
and 
<em>The above expressions will have a solid line</em>
F(x)=(-2/((x+y-2)^(1/2))-(x+y+2)^(1/2)
the only irrational part of this expression is the (x+y-2)^(1/2) in the denominator, so, to rationalize this, you multiply the numerator and denominator by the denominator, as well as the other parts of the expression
also, you must multiply the -sqrt(x+y+2) by sqrt(x+y-2)/sqrt(x+y-2) to form a common denominator
(-2)/(x+y-2)^(1/2)-(x+y+2)^(1/2)(x+y-2)^(1/2)/(x+y-2)^(1/2)
(common denominator)
(-2-(x^2+xy+2x+xy+y^2+2y-2x-2y-4))/(x+y-2)^(1/2)
(FOIL)
(-2-x^2-y^2-2xy+4)/(x+y-2)^(1/2)
(Distribute negative)
(-x^2-y^2-2xy+2)/(x+y-2)^(1/2)
(Simplify numerator)
(-x^2-y^2-2xy+2)(x+y-2)^(1/2)/(x+y-2)^(1/2)(x+y-2)^(1/2)
(Rationalize denominator by multiplying both top and bottom by sqrt)
(-x^2-y^2-2xy+2)((x+y-2)^(1/2))/(x+y-2)
(The function is now rational)
=(-x^2-y^2-2xy+2)(sqrt(x+y-2))/(x+y-2)
Answer:
1
Step-by-step explanation:
i am not sure but that is what i got.
Answer:
a < 3.5
Step-by-step explanation:
2a+3 <10
subtract 3 from each side
2a +3 -3 < 10-3
2a < 7
divide by 2
a < 7/2
a < 3.5