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Ratling [72]
3 years ago
6

Find the surface area of the right rectangular prism shown below. units? 2.5 -

Mathematics
2 answers:
Soloha48 [4]3 years ago
5 0

Answer:

46

Explanation

4 x 2 x 2 = 16

2.5 x 4 x 2 = 20

2 x 2.5 x 2 = 10

16 + 20 + 10 = 46

Mrrafil [7]3 years ago
3 0

Answer: Surface area = 46 units²

Step-by-step explanation:

The formula for determining the total surface area of a rectangular prism is expressed as

Surface area = 2LW + 2LH + 2WH

Where

L represents the length of the rectangular prism.

W represents the width of the rectangular prism.

H represents the height of the rectangular prism.

Looking at the diagram,

L = 4 units

W = 2.5 units

H = 2 units

Therefore,

Surface area = (2 × 4 × 2.5) + (2 × 4 × 2) + (2 × 2.5 × 2)

= 20 + 16 + 10

= 46 units²

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Step-by-step explanation:

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By the Pythagoras theorem, in a right triangle with the sides being a and b,

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Are the following expressions equivalent 26-(-26) and 26+(-26)
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No.

Step-by-step explanation:

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3 years ago
For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.
Yakvenalex [24]

Answer:

Sd(X) =\sqrt{1.2}=1.095

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=5, p=0.4)

The probability mass function for the Binomial distribution is given as:

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Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

The mean for the binomial distribution is given by:

E(X) =np=5*0.4=2

And the variance is given by:

Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2

And the deviation is just the square root of the variance so we got:

Sd(X) =\sqrt{1.2}=1.095

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3 years ago
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