4) Which number is a factor of 12, but not a multiple of 3?

In triangle KLM, if K is congruent to L, KL = 9x - 40, LM = 7x - 37, & KM = 3x + 23, find x & the measure of each angle.

timurjin [86]

This is hard to solve when we don't know the visual graph this question is trying to refer from

6 0

3 years ago

If f(x) = 2x + 3 and g(x) =4x - 1, find f(4).

fomenos

Solve the "f" function with substitute 4 and solve the "g" function with what we get for the "f" function.

f(4) = 2(8) + 3

f(4) = 16 + 3

f(4) = 19

g(19) = 4(19) - 1

g(19) = 76 - 1

g(19) = 75

Best of Luck!

6 0

3 years ago

(21-6)/3 how much money each one will make

wolverine [178]

Answer:

5

answer

3 0

3 years ago

Suppose that when a transistor of a certain type is subjected to an accelerated life test, the lifetime x (in weeks) has a gamma

elena-14-01-66 [18.8K]

Answer:

a) $P(1 \leq X \leq 40)$

In order to find this probability we can use excel with the following code:

=GAMMA.DIST(40;5,8,TRUE)-GAMMA.DIST(1,5,8,TRUE)

And we got:

$P(1 \leq X \leq 40)=0.560$

b) $P(X \geq 40)=1-P(X$

In order to find this probability we can use excel with the following code:

=1-GAMMA.DIST(40,5,8,TRUE)

And we got:

$P(X \geq 40)=1-P(X$

Step-by-step explanation:

Previous concepts

The Gamma distribution "is a continuous, positive-only, unimodal distribution that encodes the time required for $\alpha$ events to occur in a Poisson process with mean arrival time of $\beta$ "

Solution to the problem

Let X the random variable that represent the lifetime for transistors

For this case we have the mean and the variance given. And we have defined the mean and variance like this:

$\mu = 40 = \alpha \beta$ (1)

$\sigma^2 =320= \alpha \beta^2$ (2)

From this we can solve $\alpha$ and [/tex]\beta[/tex]

From the condition (1) we can solve for $\alpha$ and we got:

$\alpha= \frac{40}{\beta}$ (3)

And if we replace condition (3) into (2) we got:

$320= \frac{40}{\beta} \beta^2 = 40 \beta$

And solving for $\beta = 8$

And now we can use condition (3) to find $\alpha$

$\alpha=\frac{40}{8}=5$

So then we have the parameters for the Gamma distribution. On this case $X \sim Gamma (\alpha= 5, \beta=8)$

Part a

For this case we want this probability:

$P(1 \leq X \leq 40)$

In order to find this probability we can use excel with the following code:

=GAMMA.DIST(40;5,8,TRUE)-GAMMA.DIST(1,5,8,TRUE)

And we got:

$P(1 \leq X \leq 40)=0.560$

Part b

For this case we want this probability:

$P(X \geq 40)=1-P(X$

In order to find this probability we can use excel with the following code:

=1-GAMMA.DIST(40,5,8,TRUE)

And we got:

$P(X \geq 40)=1-P(X$

6 0

3 years ago

What is the Area and Perimeter for tbe rectangle?

Amanda [17]

<h2>Given :-</h2>

length of rectangle = ( 4n-5 )

breadth of rectangle = ( 3n-2)

Area and perimeter of rectangle.

<h2>solution :-</h2>

by the question ,

We know the area of rectangle = length × breadth

Area = (4n -5) (3n-2)

$= {12n}^{2} - 8n - 15n + 10$

$= {12n}^{2} - 23n + 10$

now ,

perimeter = 2 ( length + breadth (

= 2 ( 4n-5 + 3n-2)

= 2 ( 7n-7)

= 14n -14

I hopes this helps.

3 0

3 years ago