Answer:
96.74
Step-by-step explanation:
Answer:
Largest possible mural that can be painted on the wall is 24 feet wide and 13.5 feet high.
Step-by-step explanation:
Design of a mural is 16 in. wide and 9 in. high.
Dimensions of the wall are 24 ft by 14 ft.
If we enlarge the size of the design along the width the wall, scale factor to be used,
Scale factor = ![\frac{\text{Width of the wall}}{\text{Width of the design}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BWidth%20of%20the%20wall%7D%7D%7B%5Ctext%7BWidth%20of%20the%20design%7D%7D)
= ![\frac{24}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B16%7D)
= ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
With the same scale factor, height of the design will be,
![\frac{3}{2}=\frac{\text{Height of the wall used}}{\text{Height of the design}}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%3D%5Cfrac%7B%5Ctext%7BHeight%20of%20the%20wall%20used%7D%7D%7B%5Ctext%7BHeight%20of%20the%20design%7D%7D)
![\frac{3}{2}=\frac{\text{Height of the wall used}}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%3D%5Cfrac%7B%5Ctext%7BHeight%20of%20the%20wall%20used%7D%7D%7B9%7D)
Width of the wall used = ![\frac{3\times 9}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5Ctimes%209%7D%7B2%7D)
= 13.5 ft
Therefore, largest possible mural that can be painted on the wall is 24 feet wide and 13.5 feet high.
Answer:
P(n) = 0.5
Step-by-step explanation:
For two events which are independent, we use the multiplication rule which states P (A and B) = P(A) * P(B). Substitute P(m) = 0.4 and P(m and n) = 0.2 into this formula.
P (m and n) = P(m) * P(n)
0.2 = 0.4*P(n)
Divide by 0.4 on both sides.
0.2 / 0.4 = P(n)
0.5 = P(n)