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sladkih [1.3K]
3 years ago
10

What is the value of B??

Mathematics
1 answer:
Maurinko [17]3 years ago
7 0
The answer is 3.75.

Since the length of 'b' is one-half that of 7.5 based on the diagram (we know this because the partial radii connecting the two lines, or chords, are the same length, meaning the two chords are equal);

   <u>7.5</u>      ⇒   3.75<u>
</u>    2
<u>
</u><em>Hope that helps.</em><u>
</u>
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A lake contains 4 distinct types of fish. Suppose that each fish caught is equally likely to be any one of these types. Let Y de
gregori [183]

a= μ-3.16*σ , b= μ+3.16*σ if each fish caught is equally likely to be any one of these 4 distinct types.

<h3>What is meant by Chebyshev inequality?</h3>

Chebyshev's inequality is a probability theory that ensures that, over a vast range of probability distributions, no more than a particular proportion of values would be present within a selected limits or range as from mean. In other words, only a certain fish caught will be discovered within a given range of the distribution's mean.

The formula for which no more than a particular number of values can exceed is 1/K2; in other words, 1/K2 of a distribution's values can be more than or equal to K standard deviations away from the distribution's mean. Furthermore, it asserts that 1-(1/K2) of a distribution's values must be within, but not include, K standard deviations of the distribution's mean.

How to solve?

from Chebyshev's inequality for Y

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

where

Y =  the number of fish that need be caught to obtain at least one of each type

μ = expected value of Y

σ = standard deviation of Y

P(| Y - μ|≤ k*σ ) = probability that Y is within k standard deviations from the mean

k= parameter

thus for

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

P{a≤Y≤b} ≥ 0.90 →  1-1/k² = 0.90 → k = 3.16

then

P(μ-k*σ≤ Y ≤ μ+k*σ ) ≥ 0.90

using one-sided Chebyshev inequality (Cantelli's inequality)

P(Y- μ≥ λ) ≥ 1- σ²/(σ²+λ²)

P{Y≥b} ≥ 0.90  →  1- σ²/(σ²+λ²)=  1- 1/(1+(λ/σ)²)=0.90 → 3= λ/σ → λ= 3*σ

then for

P(Y≥ μ+3*σ ) ≥ 0.90

In order to learn more about Chebyshev inequality, visit:

brainly.com/question/24971067

#SPJ4

4 0
1 year ago
The segments shown below could form a triangle ac=9. cb=8. ba=17
krek1111 [17]
The lengths of sides of a triangle have to satisfy the triangle inequality, which states that the sum of the two shorter sides must exceed the length of the third side.

Here 9+8=17 (not greater), so these segments do not form a triangle.
8 0
2 years ago
Read 2 more answers
Miguel is painting a cabinet shaped like a rectangular prism. He is going to paint all of the exterior sides except the top and
Oksana_A [137]

Answer:

40ft

Step-by-step explanation:

Please kindly see the attached file for more explanation

8 0
3 years ago
Which of the following is equivalent to (-2) -5?<br><br> -2+(-5)<br> -2+(-5)<br> 2+(-5)<br> 2-(-5)
gladu [14]
-2+(-5) is equal to (-2)-5.

5 0
3 years ago
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The art club had an election to select a president. 57 members voted in the election and 19 did not vote. What percentage of the
laila [671]

Answer:

75% voted

Step-by-step explanation:

you add the 75 to 19 to figure out the total amount of people in the club.

75+19=76

Then you divide the people who voted which is 57 by the total amount of people in the club which is 76

57/76=0.75

then you move the decimal two places to the left and you get 75%


5 0
2 years ago
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