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Studentka2010 [4]
2 years ago
14

A machine used to fill cereal boxes dispenses, on the average, μ ounces per box. The manufacturer wants the actual ounces dispen

sed Y to be within 1.1 ounce of μ at least 75% of the time. What is the largest value of σ, the standard deviation of Y, that can be tolerated if the manufacturer's objectives are to be met?
Mathematics
1 answer:
irga5000 [103]2 years ago
4 0

Answer: 1/2

Step-by-step explanation:

First step: we will use Tchebyscheff's theorem. The theorem can help us to explain random variables with finite variance as well as mean.

P (|Y-u| < or equals to 1) | > or equals to 0.75

= 1 - 1/2

Therefore, w= 2

Step 2: we use Tchebyscheff's inequality, which is:

= -2¶ + u < y < 2¶ + u

Therefore, we have; --2¶ + u

= 1 + u

1= K¶

¶ = 1/2.

Please take note that ¶ is represented as sigma symbol.

Since I can't get the symbol here with me. Also the u repres represent 'micro' symbol

You might be interested in
If x and y satisfy both 9x+2y=8 and 7x+2y=4, then y=?
Alex

Answer:

The value of y is -5

Step-by-step explanation:

we have

9x+2y=8 ------> equation A

7x+2y=4 ------> equation B

we know that

If x and y satisfy both equations, then (x,y) is the solution of the system of equations

Using a graphing tool

Remember that

The solution of the systems of equations is the intersection point both graphs

The intersection point is (2,-5)

therefore

The solution of the system of equations is the point (2,-5)

The value of y is -5

7 0
2 years ago
jenna eats dinner at a restaurant. her bill is 14.50. jenna pays her bill and leaves a tip. write an inequality to represent the
Alex17521 [72]
I'm thinking
y (greater than or equal to symbol) 14.50
4 0
2 years ago
Select all of the following true statements if R = real numbers, Z = integers, and W = {0, 1, 2, ...}
scoundrel [369]
We can start solving this problem by first identifying what the elements of the sets really are.

R is composed of real numbers. This means that all numbers, whether rational or not, are included in this set.

Z is composed of integers. Integers include all negative and positive numbers as well as zero (it is essentially a set of whole numbers as well as their negated values).

W on the other hand has 0,1,2, and onward as its elements. These numbers are known as whole numbers.

W ⊂ Z: TRUE. As mentioned earlier, Z includes all whole numbers thus W is a subset of it.

R ⊂ W: FALSE. Not all real numbers are whole numbers. Whole numbers must be rational and expressed without fractions. Some real numbers do not meet this criteria.

0 ∈ Z: TRUE. Zero is indeed an integer thus it is an element of Z.

∅ ⊂ R: TRUE. A null set is a subset of R, and in fact every set in general. There are no elements in a null set thus making it automatically a subset of any non-empty set by definition (since NONE of its elements are not an element of R).

{0,1,2,...} ⊆ W: TRUE. The set on the left is exactly what is defined on the problem statement for W. (The bar below the subset symbol just means that the subset is not strict, therefore the set on the left can be equal to the set on the right. Without it, the statement would be false since a strict subset requires that the two sets should not be equal).

-2 ∈ W: FALSE. W is just composed of whole numbers and not of its negated counterparts.
5 0
2 years ago
Read 2 more answers
Al simplificar esta expresion logaritmica, cual es la forma mas simple? ​
Liula [17]

Answer:

La respuesta es

<h2>\frac{1}{2}</h2>

Step-by-step explanation:

<h3>log_{5}( \sqrt{5} )</h3>

Escribe la expresión en forma exponencial con base 5

Eso es

<h3>log_{5}(5)^{ \frac{1}{2} }</h3>

Usando las reglas de los logaritmos que

<h3>log_{ a}( {a})^{x}  = x</h3>

Simplifica la expresión

Tenemos la respuesta final como

<h3>\frac{1}{2}</h3>

Espero que esto te ayude

6 0
2 years ago
A street promotion worker gets paid $0.10 for each flyer he hands out. His goal is to make $16 an hour. How many flyers must he
Lapatulllka [165]
The answer is 160
hope this helps
3 0
2 years ago
Read 2 more answers
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