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stich3 [128]
2 years ago
12

A dumpling machine automatically inserts mixed vegetables and meat filled wontons into a plastic package. Past experience reveal

ed that some packages were underweight and some were overweight, but most of them had satisfactory weight.
Weight % of Total
Underweight 2.5
Satisfactory 90.0
Overweight 7.5

Required:
What is the probability of selecting two packages that are satisfactory?

a. 0.900
b. 0.729
c. 0.810
d. 0.075
Mathematics
1 answer:
Tanya [424]2 years ago
6 0

Answer:

c. 0.810

Step-by-step explanation:

Given, total % of satisfactory packages = 90% = 0.90

Now, since selecting a satisfactory package is independent of any other trials (i.e. all the selection trials are independent to each other)

Hence, Probability of selecting two packages that re satisfactory

P(Selecting 2 satisfactory packages) = (0.90)^2

P(Selecting 2 satisfactory packages) = 0.90*0.90

P(Selecting 2 satisfactory packages) = 0.810

Note: We are selecting product since the chance of selecting in each trials are independent.

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Alvin wants to know what his average paddling rate was for a canoe trip to a campsite. On the way there it took him 8 hours agai
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let

r--------> Alvin's average paddling rate in km/hour

y -------> speed of the current in km/hour



we know that

speed= distance/time ------> solve for distance

distance=speed*time


to Campsite against the current

speed=r-y-----> speed=(r-3)

time=8 hours

distance=(r-3)*8------> equation 2


From Campsite with the current

speed=r+y-----> speed=(r+3)

time=3 hours

distance=(r+3)*3------> equation 1



equate equation 1 and equation 2-----> because is the same distance

(r+3)*3=(r-3)*8----> 3r+9=8r-24----> 8r-3r=24+9-----> 5r=33----> r=6.6 km/hour


therefore


the answer is

Alvin's average paddling rate is 6.6 km/hour


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