Answer:
1661.06 cm²
Step-by-step explanation:
From the question given above, the following data were obtained:
Radius (r) = 11.5 cm
Size of synthetic leather needed =?
To know how many square centimetres of synthetic leather needed to cover the ball, we shall determine the area of the ball. This can be obtained as follow:
Radius (r) = 11.5 cm
Pi (π) = 3.14
Area of ball =?
The shape of a ball is spherical in nature. Thus, we shall apply the formula for calculating the area of a sphere. This is illustrated below:
A = 4πr²
A = 4 × 3.14 × 11.5²
A = 4× 3.14 × 132.25
A = 1661.06 cm²
Thus, 1661.06 cm² of synthetic leather needed to cover the ball.
Answer:
1,319.83721
Step-by-step explanation:
Answer:
Step-by-step explanation:
a) The null hypothesis states that
The production line operation fills cartons with laundry detergent to a mean weight of 32 ounces.
H0 : µ = 32
The alternative hypothesis states that
The production line operation overfills or under fills cartons with the laundry detergent to a mean weight of above or below 32 ounces.
Ha : µ ≠ 32
b) when the calculations are done and the p value is determined, then it would be compared with the level of significance
When the significance level is lesser than the p value, we do not reject H0 because there is no sufficient evidence to conclude that the production line operation overfills or under fills cartons.
c) When the significance level is greater than the p value, we would reject H0 because there is sufficient evidence to conclude that the production line operation overfills or under fills cartons.
Answer:
100 beads for $2.95
Step-by-step explanation:
This is because the unit cost per item if you buy 100 beads for $2.95 would be $0.03
Answer:
The slant of the ladder is 5 ft
Step-by-step explanation:
Look at the attached figure to understand this situation
∵ a represents the distance from the edge to the top step
∵ The distance from the edge to the top step is 4 ft
∴ a = 4 ft
∵ b represents the distance to the house's edge from the bottom step
∵ The distance to the house's edge from the bottom step is 3 ft
∴ b = 3 ft
∵ c represents the slant of the ladder
∴ We need to find c
→ By using the Pythagoras Theorem
∵ c = 
∴ c = 
∵ 
= 5
∴ c = 5 ft
∴ The slant of the ladder is 5 ft
