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Westkost [7]
3 years ago
12

The expression as an inequality for the statement above is:​

Mathematics
1 answer:
adelina 88 [10]3 years ago
3 0

Answer: S > =85000

Reason: its says "atleast"

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A small greeting card company prints and ships greeting cards throughout the year. Rodney is able to package and ship 416 cards
Rasek [7]

Answer:

52 cards/hour

Step-by-step explanation:  

                                                        416 cards

Rodney's card production rate is --------------- = 52 cards/hour

                                                          8 hours

3 0
3 years ago
The point slope form of an equation of the line that passes through (-4, -3) and (12, 1) is y -1 =1/4(x-12). What is the standar
luda_lava [24]

The standard form: Ax + By = C.

We have:

y-1=\dfrac{1}{4}(x-12)\qquad|\text{multiply both sides by 4}\\\\4y-4=x-12\qquad|\text{add 12 to both sides}\\\\4y+8=x\qquad|\text{subtract 4y from both sides}\\\\8=x-4y

<h3>Answer: x - 4y = 8</h3>
6 0
3 years ago
Factor completely, then place the answer in the proper location on the grid. 6x ^2 - 3x - 30
seraphim [82]
Factor out the GCF first
3(2x² - x - 10)
3(2x - 5)(x + 2)
3 0
3 years ago
Read 2 more answers
The number of pages that Kline can read varies directly with the time he spends reading if he reads 13 pages in 25 minutes how m
sukhopar [10]

Answer:It is 650

Step-by-step explanation:

13x25=352

352x2=650

3 0
3 years ago
Read 2 more answers
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
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