Answer:
the dimension of the poster = 90 cm length and 60 cm width i.e 90 cm by 60 cm.
Step-by-step explanation:
From the given question.
Let p be the length of the of the printed material
Let q be the width of the of the printed material
Therefore pq = 2400 cm ²
q = 
To find the dimensions of the poster; we have:
the length of the poster to be p+30 and the width to be 
The area of the printed material can now be: 
=
Let differentiate with respect to p; we have
Also;
For the smallest area 
p² = 3600
p =√3600
p = 60
Since p = 60 ; replace p = 60 in the expression q = to solve for q;
q =
q = 
q = 40
Thus; the printed material has the length of 60 cm and the width of 40cm
the length of the poster = p+30 = 60 +30 = 90 cm
the width of the poster = = 
= 40 + 20 = 60
Hence; the dimension of the poster = 90 cm length and 60 cm width i.e 90 cm by 60 cm.
Answer:
Step-by-step explanation:
There are four values 46, 51, 53, 59
we have to draw 2 sampler with replacement
sampler median samler median
46.46 46 53.46 49.5
46.51 48.5 53.51 52
45..53 49.5 53.53 53
46.59 52.5 53.59 56
51.46 48.5 59.46 52.5
51.51 51 59.51 55
51.53 52 59.53 56
51.59 55 59.59 59
sampling distribution of the median
median probability
46 1/16
48.5 2/16
49.5 2/16
52.5 2/16
51 1/16
52 2/16
55 2/16
53 1/16
56 2/16
59 1/16
Answer:
61.84%
Step-by-step explanation:
Let the cost of the box be x. Since the price of the box and the pen is Rs 80, the pen's price can be represented as 80 - x. The box is sold at a ten percent profit, and an added ten percent is equal to 1.1. Therefore, the price the box sells at is 1.1(x). A 20% loss is the same a keeping 80% or multiplying by 0.8. This means the pen sold at 0.8(80 - x). Now, we are given the box went for Rs 28 more than the pen, so we can create an equation:
1.1x = 0.8(80 - x) + 28
We can simplify and solve:
1.1x = 64 - 0.8x + 28
1.9x = 92
x = 92/1.9
x = 920/19
The cost of the box after the increase would be 1.1(920/19) and the pen would be 0.8(80 - 920/19).
The sum of these two can be written as a percent x of 80.
80x = 0.8(80 - 920/19) + 1.1(920/19)
80x = 64 - 0.8(920/19) + 1.1(920/9)
80x = 64 - 0.3(920/19)
80x = 64 - 276/19
80x = 940/19
x = 940/1520
x = 0.6184
This is 61.84%
This question may be trick question xD haha.
Anyways, a right triangle is a triangle with a right angle (90 degrees). In your picture, that triangle is a right triangle, but the sides could be a bit slanted. Please take a picture from top view, so I can see it properly.
The triangle's length does not matter in this case. As long as it has a right angle, it's a right triangle.
