Answer:
A = 54 units ^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 18) * ( 6)
A = 54 units ^2
The decimal place value is tenths
Answer:
x = 19
Step-by-step explanation:
The shape of the flower base has six sides of equal lengths. This means that the flower base is a regular hexagon. A regular hexagon is a closed polygon with six equal sides and six equal angles.
Each side of the base measures x - 6, and the perimeter of the base is 78 units.
Length of each side = x - 6
The total length of the base = perimeter of the base.
The total length of the base is gotten by summing all the sides of the base. Since the base has 6 sides, therefore the total length of the base = 6(x - 6). Hence:
Perimeter of base = 6(x - 6)
78 = 6x - 36
6x = 78 + 36
6x = 114
x = 114 / 6
x = 19
Length of each side of base = x - 6 = 19 - 6 = 13 units
Answer:
a) 0.4164
Step-by-step explanation:
Mean lifespan (μ) = 18.8 days
Standard deviation (σ) = 2 days
For any given lifespan 'X', the z-score is:
For X=12.04 days:
A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.
For X=18.38 days:
A z-score of -3.38 falls in the 41.68th percentile of a normal distribution.
The probability that a butterfly lives between 12.04 and 18.38 days is
Step-by-step explanation:
(-6x^3+8x^2+4x-4)
option D is correct answer
