What is the surface area of a rectangular prism?length : 3width : 3height = 5

1 answer:

4 0

Since it is a rectangular prism, the front and back are the same. the sides are the same and the top and bottom are the same. You would find the area of the front and back first. Since they both have the same measurements, you can find the area of one of the faces and multiply by 2.
A=BH
A= 3x5
A=15
15x2=30
So the front and back's area is 30. Now you find the area of both sides. They are both rectangle so the formula is A=BH.
A=BH
A=3x5
A=15
15x2=30
Now you find the area of the top and bottom. It is also a rectangle so you will use the same formula.
A=BH
A=3x3
A=9
9x2=18
Finally, you add all these measurements together adn that is the surface area.
This surface area of this rectangle prism is 78.

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The letter "t" makes up an estimated 10% of a certain language. Assume this is still correct. A random sample of 500 letters i

Andrew [12]

Answer:

0.2755

Step-by-step explanation:

We intend to make use of the normal approximation to the binomial distribution.

First we'll check to see if that approximation is applicable.

For p=10% and sample size n = 500, we have ...

pn = 0.10(500) = 50

This value is greater than 5, so the approximation is valid.

The mean of the distribution we'll use as a model is ...

µ = p·n = 0.10(500)

µ = 50

The standard deviation for our model is ...

σ = √((1-p)µ) = √(0.9·50) = √45

σ ≈ 6.708204

A continuity correction can be applied to better approximate the binomial distribution. We want p(t ≤ 9.1%) = p(t ≤ 45.5). For our lookup, we will add 0.5 to this limit, and find p(t ≤ 46).

The attached calculator shows the probability of fewer than 45.5 t's in the sample is about 0.2755.