To find The largest number of gift bags that can be packed, you will need to find the biggest way all three of these numbers can be divided evenly. You can find this answer by finding the greatest common factor.
I will show this by listing the prime factorization's for each number, and then we will look for all the common factors.
171 = 3 x 3 x 19
63 = 3 x 3 x 7
27 = 3 x 3 x 3
All three lists share two 3s. The means that the biggest way they could be divided is into nine bags (3 x 3).
Answer:
T.A. = 144 + 36√3 units²
Step-by-step explanation:
∵ The total surface area of the pyramid = the sum of the area of
the four faces (one base and 3 side faces)
∵ The 3 side faces have the same dimensions 12 , 10 , 10
∴ the area of the 3 faces = 3 × 1/2 × 12 × h
∵ The height of each triangle is ⊥ to its base
∵ The triangle are isosceles
∴ The height bisects the base
∴ h² = 10² - 6² = 64
∴ h = √64 = 8
∴ The area of the 3 triangles = 3 × 1/2 × 12 × 8 = 144 units²
∵ The base is equilateral Δ with side length 12
∵ Area equilateral triangle = 1/4 × s² × √3
∴ The area of the base = 1/4 × (12)² × √3 = 36√3 units²
∴ T.A. = 144 + 36√3 units²
Question 1 true not false
What w-2 we need to be able to see it
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
