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3 years ago

If (2a+3b)=2 what is the value of (2a-3b)

1 answer:

7 0

The question is incomplete..a , b are two different variables and such can't be solved with only one given interlinked condition.

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suppose that the lifetime of a transistor is a gamma random variable x with mean of 24 weeks and standard deviation of 12 weeks.

emmainna [20.7K]

The probability that the transistor will last between 12 and 24 weeks is 0.424

X= lifetime of the transistor in weeks E(X)= 24 weeks

O,= 12 weeks

The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.

X~gamma( $\alpha ,\beta$ )

E(X)= $\alpha \beta$ $\beta$ = $12^{2}/24$ =6 weeks

V(x)= $\alpha \beta ^{2}$ $\alpha$ =24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X, $\alpha$ , $\beta$ , False)

P( $12\leq X\leq 24$ )

P( $12/6\leq G\leq 24/6$ )

P( $2\leq G\leq 4$ )

P= 0.424

Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424

To learn more about probability click here:

brainly.com/question/11234923

#SPJ4

4 0

1 year ago

Read 2 more answers

I need help with this 1 problem on my homework

Andru [333]

Step-by-step explanation:

10-5y=3x

1. add 10 to both sides

-5y=3x+10

2. divide everything by -5

y=-3/5x-2

3. your point would start at -2 on the y axis and you would go down 3 and over 5 to get to the next point

4 0

3 years ago

Montrey recently paid off his simple interest loan. If he borrowed $6,500 for 5 years at 7%, what was the total amount he had to

erica [24]

9514 1404 393

Answer:

$8,775

Step-by-step explanation:

The amount due is given by the formula ...

A = P(1 +rt)

where P is the principal amount, r is the annual rate, and t is the number of years.

A = $6,500(1 +0.07×5) = $6,500(1.35) = $8,775

Montrey had to pay back $8,775.

6 0

3 years ago

What is a number in exponential notation that decreases in value as the exponent increases in value

Eva8 [605]

Answer:

Any fraction

Step-by-step explanation:

Example:

(2/3)² = 4/9

2/3 > 4/9

7 0

3 years ago

Read 2 more answers

The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t).

o-na [289]

Answer:

S'(t) = 0.09t^2 + t + 9

S(2) = 24.24

S'(2) = 11.36

S(11) = 203.43 means that the sales of the company 11 months from now is $203,430,000.

S'(11) = 30.89 means that, 11 months from now, the rate at which sales change is $30,890,000 per month

Step-by-step explanation:

The derivate of the sales function S'(t) , which is the rate at which sales vary with time in months, is:

$\frac{dS(t)}{dt} =S'(t) = 0.09t^2 + t + 9$

S(2) is found by applying t=2 to S(t):

$S(2) = 0.03*(2^3) + 0.5*(2^2) + 9*2 + 4\\S(2)= 24.24$

S'(2) is found by applying t=2 to S'(t):

$S'(2) = 0.09*(2^2) + 2 + 9\\S'(2) = 11.36$

Since the sales function gives the amount of sales in millions of dollars,

S(11) = 203.43 means that the sales of the company 11 months from now is $203,430,000.

S'(t) represents the rate of change in sales in millions of dollars per month.

S'(11) = 30.89 means that, 11 months from now, the rate at which sales change is $30,890,000 per month

8 0

3 years ago