Yes.
To form a triangle every side must be smaller in length than the sum of the two other sides.
For example: sides denoted by a,b,c
for a triangle to form
a<b+c
b<a+c
c<a+b
Thus in the case of the <em>Isosceles </em>triangle with side lengths 1,8,8 the rules aforementioned are fulfilled. This means that a triangle with said side lengths can exist.
Answer:
a) .033 b) .4678 c) 100
Step-by-step explanation:
Distribution of miraculin produced is normal. To answer question we need to find the z-score of 100g, 110g and 120g miraculin
General formula for z score is given by
z=
where
- X is the miraculin produced (120,110,100)
- M is the mean miraculin produced for a partucilar tomato plant, which is 105.3
- s is the standard deviation of the sample, which is 8.0
a)
z-score for 120 g miraculin is
=1.8375 then
P(x > 120) = P(z>1.8375) = 0.033
b)
z-score for 110 g miraculin is
= 0.5875
z-score for 100 g miraculin is
= -0,6625
P(100 < x < 110) = P(x>100) - P(x>110) =0.7462 - 0,2784 = 0.4678
c)
if P(x < a) = 0.25 then corresponding z score for a is -0.6745. From the above formula we can calculate a:
=-0.6625 which gives a= 100
(x, y) → (x, y + n) - translate the graph n units up
(x, y) → (x, y - n) - translate the graph n units down
(x, y) → (x - n, y) - translate the graph n units left
(x, y) → (x + n, y) - translate the graph n units right
---------------------------------------------------------------------------
(x, y) → (x + 2, y)
translate the graph 2 units right.
(x - 7)(y - 9)
x*(y - 9) - 7*(y - 9)
x*y - x*9 - 7*y -7*(-9)
xy - 9x - 7y + 63
That's the product.