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3 years ago

5

How does the experimental probability of choosing a yellow tile compare with the theoretical probability of choosing a yellow ti

le

1 answer:

Evgen [1.6K]3 years ago

4 0

Answer:

The experimental probability is the same as the theoretical probability.

Step-by-step explanation:

The given data is:

color observed frequency relative frequency

Red 15 3/10

Blue 12 6/25

Green 8 4/25

Yellow 10 1/5

Purple 5 1/10

The experiment was repeated 50 numbers of times.

Solution:

Theoretical probability is basically what is expected to happen without experimenting and experimental probability is what actually happens as a results of an experiment.

Theoretical probability = favorable outcomes / all possible outcomes

Experimental probability = no. of times outcome occurs / no. of times

experiment is performed The experimental probability and theoretical probability are same i.e. 1/5

This can be seen from the table:

Experimental probability = 1/5

As the experiment is performed 50 times and the outcome (yellow tile) occurs 10 times so using the formula of experimental probability:

10/50 = 1/5

Now as given, there are 5 number of tiles (red,blue,green,yellow,purple) so number of possible outcomes is 5. Yellow tile among these 5 tiles is 1. So the favorable outcomes is 1. So looking at the given formula of theoretical probability:

1/5

So

experimental probability = 1/5

theoretical probability = 1/5

Hence the experimental probability is the same as the theoretical probability.

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All 4 sides of a square are of the same length.

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s^2 = 81

s = 9 or -9

-9 does not apply here but 9 does.

Each side of the square deck is 9 feet long.

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4 years ago

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Delicious77 [7]

Answer:

$\sin\theta=-\frac{\sqrt{6}}{3}$

Step-by-step explanation:

The given trigonometric equation is $\cos(-\theta)=\frac{\sqrt{3} }{3}$ .

We can either use the Pythagorean identity or the right angle triangle to solve for $\sin\theta$ .

According to the Pythagorean identity,

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We substitute this value in to the above Pythagorean identity to get;

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But we were given that,

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The correct answer is B

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3 years ago

san4es73 [151]

Step-by-step explanation:

<u>Step 1: Determine an ordered pair</u>

A solution of an equation just means that the point lies on the line. We can find any y-value when we plug in a specific x-value. For example, if we want to know what ordered pair lies at x=1, we just plug in y = -1/2(1) and solve for y which gives us -1/2. This gives us an ordered pair of (1, -1/2). We can continue to do this for any x value.

We can also reverse the order and plug in the y-value and get the x-value in order to accomplish the same goal but it's a bit harder.

Hope this helps!

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babymother [125]

Answer:

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And many more.

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