Answer:
It will cost: £28.28
Step-by-step explanation:
Area of sphere = 4 x π x r2
Area of Circle = 4 x π x 3^2 = 113.097 (radius is half of diameter)
113.097 / 0.25 = 28.28
Answer: a semi circle is half a circle so 35 divided by 2 is 17.5
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
Use the Pythagorean Theorem (which is only true for right triangles)
a^2 + b^2 = c^2
where
a = 25
b = 312
and c = 313
25^2 + 312^2 = 313^2
625 + 973244 = 97969
97969 = 97969
this is a true statement
therefore your ramp Is indeed a Right Triangle
Answer:
The answer is below
Step-by-step explanation:
Shoppers at a mall have a mean weight of 70 kg with a standard deviation of 10 kg. An elevator at the mall holds a maximum of 6 people, and safety engineers are curious about the average weight of shoppers on a full elevator. Suppose that we take random samples of 6 shoppers and calculate the mean weight x ˉ on top of the shoppers in each sample.
Solution:
Let variable x represent the weight of a shopper at the mall.
Assuming this variable has a normal distribution with mean μ= 70kg and standard deviation σ = 10kg.
There are random samples of 6 shoppers. That is sample size (n) = 6
The mean of the sample (μₓ) is the same as the mean of the population (μ), hence:
μₓ = μ = 70 kg
The standard deviation of the sample (σₓ) is equal to the standard deviation of the population (σ) divided by the square root of the sample size (n).. Hence:
σₓ = σ / √n = 10 / √6 = 4.08 kg
