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HACTEHA [7]
2 years ago
12

Write the equation of the line in slope intercept form that goes through points (-2, 5) and (3, 3)

Mathematics
1 answer:
Jobisdone [24]2 years ago
8 0

Answer:

y=-2/5x+21/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-5)/(3-(-2))

m=-2/(3+2)

m=-2/5

y-y1=m(x-x1)

y-5=-2/5(x-(-2))

y-5=-2/5(x+2)

y=-2/5x-4/5+5

y=-2/5x-4/5+25/5

y=-2/5x+21/5

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A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
hammer [34]

Answer:

a) The probability that this whole shipment will be​ accepted is 30%.

b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

Step-by-step explanation:

We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.

We select a sample of size 48 and test for defectives.

If more than one aspirin is defective, the batch is rejected.

The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48

We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007

8 0
3 years ago
What is the slope of the line through (-9,6)(−6),9)
lara31 [8.8K]

Answer:

1

Step-by-step explanation:

Well slope intercept is y2-y1 over x2-x1

So,

-6-(-9) over 9-6

3 over 3 which is 1

Your slope is 1

6 0
3 years ago
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Answer:

DE

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3 years ago
There are 180 white lockers in a school. There are 3 white lockers for every 5 blue lockers. How many
Masja [62]

Answer:

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8 0
2 years ago
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Explain how to estimate 498÷12
swat32
Round both numbers! :)
498 would round to the nearest hundred, 500 and 12 would round to the nearest ten, 10
You can then divide 500 and 10 which gets you 50.
Hope this helped :)
6 0
3 years ago
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