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horsena [70]
3 years ago
14

Polygon y is a scaled copy of polygon x using a scal factor of 1/3. Polygon y area is what fraction of polygon x area

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

9514 1404 393

Answer:

  1/9

Step-by-step explanation:

The ratio of areas is the square of the scale factor for linear dimensions.

  Area(y)/Area(x) = (1/3)^2 = 1/9

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Inverse of <br>f(X) = 3x - 7​
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Step-by-step explanation:

y = f(X) = 3x - 7

3x = y + 7

x= (y +7)/3

f ^-1(x) = (x + 7)/3

5 0
3 years ago
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
A bottle contains 3.5 liters of water. A second bottle contains 3,750 milliliter soft water. How many more millimeters are in th
Lelechka [254]
250 ml more

3,750-3500=250
8 0
3 years ago
Emma is doing a 20-mile bike ride. She has cycled 11-miles so far?
prisoha [69]

Answer:

Step-by-step explanation:

55%

7 0
2 years ago
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wolverine [178]

Answer:

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Step-by-step explanation:

The only difference between g(x) and f(x) is that g(x) is moved to the left 7 unit and has a horizontal stretch of 1/4

5 0
3 years ago
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