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Alexandra [31]
3 years ago
8

A teacher plans a simulation to estimate the probability that a student will pick a vowel out of a bag of 26 tiles, each with a

different letter of the alphabet. She assigns the number 1 to represent a vowel and the number 2 to represent a consonant in a simulation be a fair representation of actual results? Why or why not?
Mathematics
1 answer:
OleMash [197]3 years ago
6 0

Answer:

No, because the probabilities of drawing a vowel versus a constant are not equally likely.

Step-by-step explanation:

Each number in a random number generator is equally likely.  If she assigns only the number 1 to vowels and only the number 2 to consonants, she will get results showing that they are equally likely.

In reality, 5 of the 26 letters are vowels (not including y).  The teacher should assign numbers 1 through 5 to vowels, and numbers 6 through 26 to consonants.  This will be a fair representation.

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Answer:

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3 years ago
The figure shows the layout of a symmetrical pool in a water park. What is the area of this pool rounded to the tens place? Use
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Answer:

2489ft^{2}

Step-by-step explanation:

The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.

<h3>Area of each triangle:</h3>

From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:

A_{t}=\frac{b.h}{2}=\frac{(20ft)(25ft)}{2}=250ft^{2}

<h3>Area of each circular section:</h3>

From the figure, we know that \alpha =2.21 radians and the radius is R=30ft. So, the are would be calculated with this formula:

A_{cs}=\frac{\pi R^{2}\alpha}{360\°}

Replacing all values:

A_{cs}=\frac{(3.14)(30ft)^{2}(2.21radians)}{6.28radians}

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Now, the total are of the figure is:

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Therefore the area of the symmetrical pool is 2489ft^{2}

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Answer:

Hey there!

Step-by-step explanation:

This is ur answer....

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