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Evgen [1.6K]
3 years ago
15

A company makes storage containers with sheet steel walls. The containers are shaped like rectangular prisms, as shown below. If

the company is going to make 10 containers, how many square meters of sheet steel will be needed
Mathematics
1 answer:
Alecsey [184]3 years ago
3 0

Answer:

2360m^2 of sheet steel are needed

Step-by-step explanation:

Given

The missing dimensions are:

Length = 5m

Width = 6m

Height = 8m

n=10 --- number of containers

Required

The surface area of all containers

First, we calculate the surface area (A) of 1 container

A=2*(Length * Width + Length * Height + Width * Height)

A=2*(5m* 6m+ 5m* 8m+ 6m * 8m)

A=2*(30m^2 + 40m^2 + 48m^2)

A=2*(118m^2)

A=236m^2

The surface area of 10 is:

Area = 10 * A

Area = 10 * 236m^2

Area = 2360m^2

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Radda [10]

Answer:

P(X = x) = C_{5,x}.(0.3)^{x}.(0.7)^{5-x}

Possible values of x: Any from 0 to 5.

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Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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And p is the probability of X happening.

In this question:

n = 5, p = 0.3, q = 1 - p = 0.7

So

P(X = x) = C_{5,x}.(0.3)^{x}.(0.7)^{5-x}

Possible values of x: 5 trials, so any value from 0 to 5.

For each value of x calculate p(☓ =x)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(0.3)^{0}.(0.7)^{5-0} = 0.16807

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P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{5-5} = 0.00243

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