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Vadim26 [7]
3 years ago
10

Solve for the specified variable ax-by=8 (b)

Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0
Ax + by = 8

Subtract ax from both sides.

by = 8 - ax
 
Divide both sides by y.

b = (8-ax)/y
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Simply add in the known information. To find the cost of 1700 key chains, substitute it for p in the equation, like this: C=205.00+0.70(1700) and solve.
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A is directly proportional to b, and a = 14 when b = 42. Write a direct
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2 years ago
From past experience, a company has found that in carton of transistors: 92% contain no defective transistors 3% contain one def
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Answer:

E(X) = 0*0.92 + 1*0.03 +2*0.03 +3*0.02 = 0.1500

In order to find the variance we need to find first the second moment given by:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

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The variance is calculated with this formula:

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And the standard deviation is just the square root of the variance and we got:

Sd(X) = \sqrt{0.3075}= 0.5545

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).  

Solution to the problem

LEt X the random variable who represent the number of defective transistors. For this case we have the following probability distribution for X

X         0           1           2         3

P(X)    0.92     0.03    0.03     0.02

We can calculate the expected value with the following formula:

E(X) = \sum_{i=1}^n X_i P(X_i)

And replacing we got:

E(X) = 0*0.92 + 1*0.03 +2*0.03 +3*0.02 = 0.1500

In order to find the variance we need to find first the second moment given by:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2) = 0^2*0.92 + 1^2*0.03 +2^2*0.03 +3^2*0.02 = 0.3300

The variance is calculated with this formula:

Var(X) = E(X^2) -[E(X)]^2 = 0.33 -(0.15)^2 = 0.3075

And the standard deviation is just the square root of the variance and we got:

Sd(X) = \sqrt{0.3075}= 0.5545

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(600 - 148 ) / (divided) by 5 = Pages read per day after first day
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